Question 8.11: (a) Determine the Thevenin equivalent circuit for the circui...

(a) Determine the Thevenin equivalent circuit for the circuit in Figure 8-37 viewed from terminals A and C.
(b) Determine the Thevenin equivalent circuit for the circuit in Figure 8-37 viewed from terminals B and C.

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(a) V_{TH(AC)}= \left(\frac{R_{2}+ R_{3}}{R_{1}+ R_{2}+ R_{3}} \right)V_{S}= \left(\frac{4.7 \ k\Omega + 3.3 \ k\Omega }{5.6 \ k\Omega + 4.7 \ k\Omega + 3.3 \ k \Omega } \right) 10 \ V = 5.88 \ V

R_{TH(AC)}= R_{1} \parallel (R_{2}+ R_{3})= 5.6 \ k \Omega \parallel (4.7 \ k \Omega + 3.3 \ k\Omega )= 3.29 \ k\Omega

The Thevenin equivalent circuit is shown in Figure 8-38(a).

(b) V_{TH(BC)}= \left(\frac{R_{3}}{R_{1}+ R_{2}+ R_{3}} \right)V_{S}= \left(\frac{3.3  \ k\Omega  }{5.6 \ k\Omega + 4.7 \ k\Omega + 3.3 \ k \Omega } \right) 10 \ V = 2.43 \ V

R_{TH(BC)}= R_{3} \parallel (R_{1}+ R_{2})= 3.3 \ k \Omega \parallel (5.6 \ k \Omega + 4.7 \ k\Omega )= 2.50 \ k\Omega

The Thevenin equivalent circuit is shown in Figure 8-38(b).

Screenshot (538)

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