R2 of the inverse proportional amplifier circuit
In an inverted proportional amplifier circuit, R2 usually referred to the balancing resistance or compensation resistance. Its resistance is equal to the value of R1 and Rf in parallel (R2 = R1//Rf). When R2 = R1//Rf, the output voltage caused by the input bias current of the op amp can be zero, thereby eliminating the effect of the input bias current on the output voltage. However, due to the difference in bias currents between the non-inverted and inverted ends of the op amp, the input stage devices are not exactly the same.(The difference between the two is the input offset current Ios). Even if a balancing resistance is introduced, the bias current will still produce a certain output voltage. However, under normal circumstances, the error caused by the very small Ios (usually nA) can be ignored. In the case of amplifying a very weak signal (such as a uV level signal), the error caused by the input bias current may not be ignored. In this case, a precision op amp with a smaller input bias current and offset voltage should be selected. Read more exciting novels for free
Is the voltage in a series circuit proportional or inverse?
In a series circuit, the ratio of the voltage between two resistances is equal to the ratio of their resistance, that is, the voltage at both ends is proportional to the resistance. The greater the resistance, the higher the voltage at both ends. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The Inverse Proportional Function
The following question was about the geometric properties of the inverse proportional function: A typical example: In the known rectangular OADC, UA = 2, AB = 4, the hyperboloid y = k/x (k>0) and the two sides of the rectangular ADC and ADC intersect E and F respectively. (1) If E is the middle point of A and B, find the coordinates of point F;(2) If the point B falls on the point D on the x-axis when the point B is folded along the straight line E and G is G, prove that the point D is G, and find the value of k. This question involved the combination of an inverse proportional function and a rectangular shape. It was solved by using the properties of the inverse proportional function and the relationship between geometric figures. In the process of solving the problem, the geometric meaning of k in the inverse proportional function needed to be used. For example, in the case where the edge of the triangle intersected with the inverse proportional function image, the coordinates of the relevant points were obtained through known conditions, and then the unknown quantity was further solved according to the properties of the geometric figure (such as the judgment and properties of similar triangle, etc.). <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Is the feedback amplifier circuit a closed loop circuit?
In an amplifier circuit, a circuit with feedback was called a closed-loop circuit. The feedback amplifier circuit had a feedback path from the output to the input. This feedback circuit was in a closed-loop state, so the feedback amplifier circuit was a closed-loop circuit. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
On the Coordinates of the Inverse Proportional Function
The inverse proportional function's symmetrical point is symmetrical about the origin. If the coordinate of a point is <(a,c)>, then the coordinate of the point symmetrical about the origin is <(-a,-c)> The graph is symmetrical about the origin, and the symmetrical point of any point on the graph is also on the hyperbola. The inverse proportional function coefficient is completely symmetrical about the axes of x and y. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Lm358 single-supply inverted proportional amplifier
The LM358 single-supply inverted proportional amplifier has the following features: ** 1. Working Principle ** 1. ** Based on differential amplification ** - Each operational amplifier unit of the LM358 works based on the principle of differential amplification. In a single-supply inverted proportional amplifier, when the input signal was added to the input, the internal differential pair would process the input signal. 2. ** Inputs and Outputs Relationship ** - For an inverted proportional amplifier, the output signal is the opposite of the input signal. The amplification factor is <>(-(Ru/R2)>(where Ru is the feedback resistance, R2 is the input resistance, and the negative sign indicates that the output voltage is opposite to the input voltage). ** 2. Performance characteristics ** 1. ** Inputs Resistance ** - The input resistance is relatively low, about R1 (R1 is the input resistance). 2. ** Output Resistance ** - The output resistance is small. 3. ** Common Mode Rejection ** - The common-mode rejection is better than the CCMR, which can effectively suppress the common-mode signal and improve the signal anti-interference ability. 4. ** Amplification of voltage ** - The voltage amplification factor is determined by the ratio of R1 and Rf. It can be made relatively high, but the recommended voltage amplification factor is not greater than 30 decibels (about 33 times). R1 and Rf can be selected between 1,000 Ohms and hundreds of thousands of Ohms. Generally, the value of R1 ranges from 1k to 20k, and the value of Rf is (1 - 33)R1. When the amplification requirement is too high (such as Au33), it will exceed the linear range of the op amp and cause problems. ** 3. Circuit design considerations ** 1. ** The value of the feedback resistance must not be too small ** - The inverted input end is a virtual ground, and the potential of this end is close to the ground potential but not equal to the ground potential, so the feedback resistance is equivalent to a load of the operational amplifier. If the value of the radio frequency is too small, for example, when the output amplitude is fixed, the current flowing through the radio frequency will be too large. For example, when the output voltage is constant, the current flowing through the radio frequency may reach the maximum output current of the LM358 (the maximum output current of the LM358 is generally around 30ma). At this time, the output amplitude of the LM358 will be reduced, and the output wave will be distorted. 2. ** The value of the feedback resistance should not be too large ** - The amplification factor of the circuit was determined by the frequency. If R2 was not changed, the resistance of the frequency must be increased to increase the amplification factor. However, when the resistance value of the radio frequency is too large, its accuracy and stability are far inferior to that of a small resistance within tens of K Ohms. For example, when R2 is 100K Ohms and the amplification factor is required to be 100, the radio frequency will be as high as 10M Ohms. At this time, the accuracy of the circuit amplification factor will be affected (not allowed in precision measurement circuits). <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Six Inverse Proportional Teaching Remarks
The following is an example of a review of the second volume of the sixth grade's inverse proportional teaching: ** 1. Teaching content ** 1. ** Concept Understanding ** - Strengths: From the reference materials, it is reasonable to introduce the concept of inverse proportion through the review of the knowledge of direct proportion and examples such as the cylindrical cup water experiment. This would help the students build a new concept system based on their existing knowledge. It would help the students better understand that the inverse proportional relationship was different from the direct proportional relationship but was also related to it. For example, when the students observed the change law of the bottom area and height in the water filling experiment, they could intuitively feel the change of one quantity and the change of another quantity, and the accumulation of a certain characteristic. This would help the students understand the meaning of inverse proportion. - "Deficiency: Some students may not have a deep understanding of some key elements in the concept of inverse proportion, such as" two related quantities ", only relying on experiments and observations. In the teaching process, more life examples or mathematical examples could be added to strengthen this concept. For example, in addition to the water experiment, he could also list the relationship between speed and time for a certain distance. 2. ** Teaching depth and breadth ** - [Strengths: In terms of teaching objectives, not only do students need to understand the meaning of inverse proportion, but they also need to improve their ability to summarize, summarize, and summarize. They also need to infiltrate the viewpoint of philosophical and materialistic thinking, which reflects the depth and breadth of teaching.] For example, when the students independently explored the inverse proportional relationship, through the layers of observation, discussion, observation, and discussion, the students could gradually explore the inverse proportional relationship in depth, which could cultivate the students 'comprehensive ability to a certain extent. - [Weakness: For students who have the ability to learn, the teaching content may be slightly basic.] Some expansion content could be added appropriately, such as the application of inverse proportional function images in different situations, to meet the needs of students at different levels. 3. ** Connection with other knowledge ** - [Strengths: It is clearly stated that the inverse proportional relationship is taught on the basis of the knowledge of ratio and proportion. It is emphasized that students can deepen their understanding of the inverse proportional relationship after understanding it, laying a foundation for subsequent secondary school mathematics, physics, and chemistry studies. This reflects the cohesiveness and systematic nature of the knowledge.] - [Weakness: In the teaching process, the relationship between inverse proportion and other mathematical knowledge (such as the relationship between the area and the length of the side in the algebra equation and the geometry graph) can be more clearly displayed, so that students can better integrate the knowledge.] ** 2. Teaching methods ** 1. ** import method ** - Strengths: It's more effective to review proportional knowledge and introduce new lessons through experiments or actual situation materials. For example, the water experiment could quickly attract the students 'attention, stimulate their curiosity and desire to explore, and make them quickly enter the learning state. This kind of intuitive introduction method was in line with the cognitive characteristics of sixth grade students, allowing students to discover new mathematical problems in familiar situations. - Weakness: If the introduction stage could make the students recall more of the phenomena similar to the inverse proportional relationship they encountered in their lives, it might make the students more actively participate in the learning, instead of just the teacher providing the scene material. 2. ** Guide and explore ** - Strengths: When guiding students to explore the inverse proportion, it is worthy of affirmation to use the method of cleverly setting up questions to play the role of teacher's leadership and student's main body. Teachers would guide students to observe, analyze, and reason in a hierarchical manner. They would allow students to establish concepts through repeated observation, thinking, discussion, and communication through group cooperation. This would help to cultivate students 'independent learning ability and cooperative spirit. - "Disadvantages: In the process of group cooperation, there may be situations where some students 'participation is not high. Teachers could pay more attention to the differences in students 'abilities and personalities when grouping them into groups, and strengthen the inspection guidance during the group exploration process to ensure that every student could actively participate in the exploration activities. 3. ** Practice and consolidate ** - "Strengths: Although the reference materials did not mention the practice session in detail, from the overall teaching goal, if you specifically design practice questions related to inverse proportions, such as determining whether the two quantities are in inverse proportion and solving practical problems according to the inverse proportion, it will help students consolidate their knowledge. - Weakness: In terms of practice design, if you can add some open questions, such as letting students design an example of inverse proportional relationship and analyze it, it will be more conducive to cultivating students 'innovative thinking and comprehensive application of knowledge. ** 3. Student learning ** 1. ** Learning interest ** - Strengths: Through experiments, examples, and group cooperation, it can stimulate students 'interest in learning to a certain extent. Students could feel the joy of discovering and solving problems during the process of inquiry, which helped to improve the enthusiasm of students in learning mathematics. - Weak: For those students who are not active, afraid of using their hands, and afraid of using their brains, the incentive measures in the teaching process may not be enough. Teachers could design some special incentive mechanisms for these students, such as small rewards and customized tutoring, to increase their interest in learning. 2. ** Learning Effect ** - [Strengths: From the perspective of the overall teaching goal, if the teaching process is carried out smoothly, most students should be able to understand the meaning of inverse proportion and master the method to determine whether two quantities are inverse proportion.] In the process of group cooperation, the students 'ability to summarize, summarize, and summarize could also be trained. - [Weakness: Due to the existence of the two extremes of the students, there may be a large difference in the learning effect.] Teachers needed to provide individual tutoring for students with learning difficulties after class to ensure that each student could meet the basic teaching requirements. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Review and Reflection on Inverse Proportional Function
The review of the inverse proportional function topic was of great significance in many aspects. The following are some reflection points based on common teaching and learning situations: ** 1. Knowledge Comprehension ** 1. ** Concept Understanding ** - The concept of an inverse proportional function may seem simple, but students may make mistakes in determining whether the function is an inverse proportional function. For example, for some complex functions, such as <y=<frac{k}>{x + a}>(<a'neq0>), some students might misjudge it as an inverse proportional function. This reflected that they did not have a thorough understanding of the concept of the inverse proportional function's Denominator being the independent variable <x>. 2. ** Image and Nature ** - The graph of the inverse proportional function is a hyperbola, and its properties include the change of y with x in different quadrants. Students may be confused when discussing the relationship between the increase and decrease of y and x when the image is located in different quadrants. For example, when k>0, in each quadrant, y> decreases as x> increases, but if you ignore the condition of "in each quadrant", you will make a mistake in solving the problem. - The application of the inverse proportional function graph's symmetries (about the origin) in some comprehensive questions was also something that students easily ignored. For example, when finding the coordinate relationship between two points on the inverse proportional function graph that are symmetrical to the origin, or using the symmetries to solve the area of the graph, the students might not think of using this property to simplify the problem. ** 2. Problem solving methods ** 1. ** Solve the formula ** - For the problem of finding the inverse proportional function of the known point coordinates, most students could master the undetermined coefficient method and substitute the point coordinates into the value of y={frac{k}{x}}} to solve the value of k. However, when the problem becomes to determine the value of k based on the geometric meaning of the function graph (such as the area of a triangle or a quadrilateral), the student may find it difficult. For example, when the triangle area formed by the inverse proportional function image and the coordinate axis was known to find the value of k, it was necessary to establish an equation based on the area formula and the properties of the inverse proportional function. Some students could not convert the area relationship into an expression related to k. 2. ** Function Intersection Problem ** - In solving the intersection problem of inverse proportional function and linear function, simultaneous equations were the basic method to solve the intersection coordinates. However, in the process of solving the equations, students might make calculation errors, or they might not have a clear idea when solving other problems based on the intersection coordinates (such as finding the area of a triangle, determining the relationship between the values of a function, etc.). For example, when determining that the value of the linear function is greater than the value range of the inverse proportional function, it is necessary to accurately determine the upper and lower position relationship of the function image on both sides of the intersection point. Students may come to a wrong conclusion because of inaccurate image analysis. ** 3. Teaching and learning strategies ** 1. ** Teaching Levels ** - In the process of teaching, there would often be a situation where students were divided into two groups. For students who were good at studying, reviewing the inverse proportional function topic might require more expansive questions and in-depth exploration of the application of the function's nature. For students with weak foundations, they needed to consolidate their concept foundation and carry out a large number of basic question exercises. However, in actual teaching, it was very difficult to achieve a completely tiered teaching, which might cause some students to "not have enough to eat" and some students to "not be able to keep up". 2. ** Learning initiative ** - The students 'initiative in the revision process varied greatly. Some students could actively organize their knowledge system, analyze the wrong questions, and summarize the solution methods, while some students lacked initiative and only passively accepted the teacher's revision arrangements. Teachers needed to take more measures to stimulate students 'interest and initiative in learning, such as setting up interesting mathematical inquiry activities or letting students divide into groups for knowledge competitions. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Why is the common-emit amplifier circuit inverted?
In the common-emitting amplifying circuit, when the input signal is positive for half a cycle, the base potential of the NPM triode is raised by the input signal, the base voltage to the ground increases, and the degree of continuity increases, that is, the resistance of the collector and the transmitter decreases, the current increases, the voltage at both ends of Rc increases, the voltage of the C pole of the triode to the ground decreases, and the output capacity enters a discharge state when the potential of the output is higher than that of the C pole. At this time, the lower end of the load Ri is positive, the upper end is negative, and the output signal is negative for half a cycle. When the input signal is in the negative half cycle, the base potential is pulled down by the input signal, the voltage of the B pole to the ground is reduced, the degree of continuity is reduced, the current is reduced, the voltage at both ends of Rc is reduced, the potential of the C pole is raised, and the output voltage is lower than that of the C pole. At this time, the lower end of the load Ri is negative, the upper end is positive, and the output signal is in the positive half cycle. Therefore, the input and output of the common-emit amplifier circuit were reversed. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Inverse proportional function live broadcast explanation
The inverse proportional function was an important knowledge point in junior high school mathematics. Here are some key points about the inverse proportional function: 1. ** Description **: The general form of the inverse proportional function is <y =<frac{k}{x}>>(<k> 0>). 2. ** Image **: The image is a hyperbola. 3. ** Nature **: - When k>0, the two branches of the hyperbolas are located in the first and third quadrants, respectively. In each quadrant, y decreases with the increase of x. - When k<0, the two branches of the hyperbolas are located in the second and fourth quadrants respectively, and in each quadrant, y increases with the increase of x. - The graph of the inverse proportional function had no intersection with the coordinate axis. - The geometric meaning of the proportional coefficient (k): In the inverse proportional function,(y=\frac{k}{x}\) Take any point in the image and draw a vertical line to the x and y axes through the point. The area of the rectangular circle surrounded by the coordinate axis is a fixed value.(<p></p>>(</p></p>>>); Draw a vertical line from any point on the graph of the inverse proportional function to the coordinate axis. The area of the triangle formed by this point, the vertical foot, and the coordinate origin is <p>(</p></p>> and remains unchanged. 4. ** Steps to draw an inverse proportional function image using the dot-tracing method **: - [List: When taking a value of 0, with 0 as the center, take a symmetrical value to both sides (positive and negative numbers are half each, and they are the opposite of each other) to find the value of 0.] - [Draw points: Since the function image characteristics are unclear at the beginning, try to take as many values as possible and draw more points.] - Connecting lines: Use a smooth curve to connect the independent variables in the order from small to large. It cannot be drawn as a broken line. Moreover, since the function graph will never intersect with the x and y axes, it will only be infinitely close to the two coordinate axes. If you want to study the inverse proportional function in depth, you can also pay attention to the relationship between the inverse proportional function and other functions (such as the linear function). For example, when solving the value of the inverse proportional function, you may use the intersection coordinates with other functions to solve it. In addition, in the middle school entrance exam, knowledge related to the inverse proportional function was also a common test point, including its definition, image, and nature. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
How to play the inverse proportional function in wps
To type the inverse ratio function in WPS, you can follow the following steps: First, find the "custom" tab on the drawing tool bar and click to enter. Then, find the "Mathematical Symbols" button under the "Drawing Tools" category in the "custom" tab and click. Then, find the "Function" option in the pop-up dialog box and click. After that, select the "Inverse ratio" function in the new pop-up dialog box and click "OK." In addition, you can also use the point tracing method to draw the inverse proportional function sketch. First, draw the points on the image one by one, and then connect them. The standard formula of the inverse proportional function is y = k/x. When k>0, the function image is in the first and third quadrants. When k<0, the function image is in the second and fourth quadrants, and the image is a hyperbola that is similar to a circular arc. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>