Answered: R2 8mV R1

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Electrical Engineering

R2 8mV R1

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter30: Dc Motors

Section: Chapter Questions

Problem 6RQ: What is CEMF?

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Concept explainers

Norton Theorem

In the current circuit law, the Norton theorem (also known as the Mayer-Norton theorem) is a simplification that can be applied to networks generated by a constant line of opposition, power sources, and current assets. In two network terminals, it can be switched on with a current supply and single resistor respectively.

Question

Find the The´venin equivalent representation of the circuit shown

if g_m = .0025S, R₁ =200kΩ, and R₂ =2MΩ.

Expert Solution

Step 1

From the given figure, Voltage across the terminal a and b is

$V_{a b} = - g_{m} v R_{2} . . . . . . . . . . . . . (1)$

Value of voltage from input loop

$v = i_{1} R_{1} . . . . . . . . . . . . . . . . . . . . . . . . (2)$

Substituting equation 2 in equation 1

$\begin{array}{rcl} V_{a b} & = & - g_{m} (i_{1} R_{1}) R_{2} \\ = & - g_{m} R_{1} R_{2} i_{1} \\ = & - (0.025 S) (200 \times 1 o^{3}) (2 \times 10^{6}) i_{1} \\ = & 10^{9} i_{1} \end{array}$

Step 2

Here,

$V_{a b} = V_{T h} V_{T h} = 10^{9} i_{1}$

Calculating Thevenin resistance, Ideal current source is open circuit i.e. zero

$R_{T h} = R_{a b} R_{a b} = R_{2} R_{T h} = 2 \times 10^{6} Ω$

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