What does the reciprocity theorem state in terms of an ideal voltage source and an ideal ammeter in a passive linear bilateral circuit?
Explanation
The reciprocity theorem is a fundamental property of bilateral linear networks. It essentially means that the transfer function from port 1 to port 2 is the same as the transfer function from port 2 to port 1. One practical implication is that swapping an ideal voltage source and an ideal ammeter in such a circuit will not affect the measurement.
Other questions
What is a defining electrical characteristic of a 'port' in a multiport network?
The admittance parameters (y-parameters) are also known by what name, based on the measurement conditions required to determine them?
What condition defines a bilateral two-port network, leading to the property of reciprocity?
How are the overall y-parameters of a composite network formed by connecting two two-ports in parallel determined?
The impedance parameters (z-parameters) are defined under what measurement conditions?
What is the relationship between the hybrid parameters h12 and h21 for a bilateral network?
Transmission parameters (t-parameters) are most useful for analyzing what type of network connection?
For a resistive two-port network with a 5 ohm resistor from input to ground, a 10 ohm resistor between input and output, and a 20 ohm resistor from output to ground, what is the value of the short-circuit transfer admittance, y21?
For a T-network of resistors with a 45 ohm series input resistor, a 25 ohm shunt resistor to ground, and a 75 ohm series output resistor, what is the open-circuit input impedance, z11?
For a resistive bilateral circuit with h11 = 3.4 ohms and h22 = 0.1 S, what is the value of the open-circuit reverse voltage gain, h12?
What is the determinant (delta-t) of the transmission matrix for any reciprocal network?
If two-port network A has a t-matrix tA and network B has a t-matrix tB, what is the t-matrix for the cascaded combination where A is followed by B?
The defining equations for z-parameters are V1 = z11*I1 + z12*I2 and V2 = z21*I1 + z22*I2. Which variables are typically considered the independent variables in this formulation?
A transistor amplifier is represented by the hybrid parameters h11 = 1200 ohms, h12 = 2x10^-4, h21 = 50, and h22 = 50x10^-6 S. If the input is driven by a 1 mV source with an 800 ohm series resistance, and the output is connected to a 5 kOhm load, what is the current gain (GI = I2/I1)?
How is the hybrid parameter h11, also known as input impedance (hi), measured?
In the Y-Delta transformation, how is the impedance ZA of the Delta network calculated from the impedances Z1, Z2, and Z3 of the Y network?
For the resistive two-port in Example 17.4, with y11 = 0.3 S, y12 = -0.1 S, y21 = -0.1 S, and y22 = 0.15 S, what is the input impedance Zin when the output is terminated with a 4 ohm resistor?
How is the open-circuit transfer impedance z21 defined?
A T-network consists of two 50 ohm resistors in the series arms and a 25 ohm resistor in the shunt arm. What is the value of z22 for this network?
If a two-port has y-parameters y11 = 0.3 S, y12 = -0.1 S, y21 = -0.1 S, and y22 = 0.15 S, what is z11 for the same network?
For the transistor amplifier circuit in Figure 17.16, the y-parameters are found to be y11=2.5 mS, y12=-0.5 mS, y21=39 mS, and y22=0.6 mS. What is the output impedance Zout if the amplifier is driven by a current source with no parallel resistance (an ideal source)?
A two-port network is described by the z-parameters: z11=1000, z12=10, z21=-10^6, z22=10^4 ohms. What type of element is primarily responsible for the fact that z12 is not equal to z21?
What is the primary reason for using the y-parameter equivalent circuit shown in Figure 17.13a or 17.13b?
If two identical T-networks, each with z-parameters zA, are connected in series, what is the z11 parameter of the combined network?
The alternative subscripts h_i, h_r, h_f, and h_o for hybrid parameters correspond to which standard h-parameters, respectively?
For the bilateral resistive network in Figure 17.24, consisting of a 1 ohm input resistor, a 6 ohm output resistor, and a 4 ohm shunt resistor, what is the value of h11 (short-circuit input impedance)?
A T-network has a 20 ohm input resistor, a 40 ohm output resistor, and a 10 ohm shunt resistor. What is h12 (open-circuit reverse voltage gain) for this network?
A resistive two-port is defined by the transmission parameters t11=1.2, t12=6.8 ohms, t21=0.1 S, and t22=1.4. What is the value of V1 if V2=10 V and I2= -1 A (current leaving the output port)?
Network A has t-matrix tA = [[1.2, 6.8], [0.1, 1.4]]. Network B has resistance values twice as large, resulting in t-matrix tB = [[1.2, 13.6], [0.05, 1.4]]. What is the t11 parameter of the combined network t = tA * tB?
What is the physical unit of the hybrid parameter h12?
For a two-port with y-parameters, if V1 = 10 V and V2 = 5 V, and the network is defined by y11=0.5 S, y12=-0.2 S, y21=-0.2 S, y22=0.4 S, what is the current I1 entering the input port?
What is the Thévenin equivalent output impedance (Zout) of a two-port described by z-parameters when the input is driven by a source with impedance Zg?
Which parameter set is defined by the matrix equation V = zI, where V is the voltage vector and I is the current vector?
A simple pi-network has a 5 ohm input shunt resistor, a 10 ohm series resistor, and a 20 ohm output shunt resistor. What is the value of y22?
If a network has z-parameters z11 = 70, z12 = 50, z21 = 50, z22 = 150 ohms, what is the value of y11?
Which two-port parameter is defined as the ratio I2/I1 when V2=0?
If a gyrator is a passive element that is not bilateral, what property would its y-parameter matrix exhibit?
What is the primary conceptual difference between a mesh and a loop in network topology?
In general nodal analysis using a tree, how many branches are required to form a tree in a connected network with N nodes?
When performing general loop analysis, a current variable is assigned to which set of elements?
In a T-equivalent circuit for a transistor, the emitter resistance is 50 ohms, base is 500 ohms, and collector is 20 kOhms. Using general loop analysis, how many loop equations are required to solve the circuit when a source and load are connected?
What is the physical unit of the transmission parameter t12?
Which of the following describes a 'tree' of a network graph?
If a resistive two-port is described by h-parameters h = [[100, -2], [5, 0.1]], what are the new h-parameters if a 25 ohm resistor is connected in parallel with the input port?
The input impedance of a one-port network can be found using the circuit determinant delta_z and its minor delta_11 using which formula?
How is the input admittance Yin of a one-port network expressed in terms of the nodal admittance determinant delta_y and its minor delta_11?
For the transistor amplifier in Example 17.8 with z = [[1000, 10], [-10^6, 10^4]], what is the power gain GP when driven by a source with 500 ohm resistance and terminated in a 10 kOhm load?
The matrix transformation from z-parameters to y-parameters is given by y = z^-1. Given z = [[45, 25], [25, 75]], what is y22?
In the context of transistor h-parameters, what does h_fe represent?