Question 8.13: (a) Write KVL around the left part of the circuit in Figure ...

(a) Write KVL around the left part of the circuit in Figure 8-46, Solve for I_{B},
(b) Determine the current from the dependent current source. This current is I_{C}.
(c) Calculate the output voltage and the power in the load resistor R_{L}.
(d) Compare the power determined in (c) with the power delivered to the load if the load resistor were connected directly to the Thevenin circuit.

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(a)V_{TH}- R_{TH}I_{B}- 0.7 \ V = 0

I_{B}= \frac{V_{TH}- 0.7 \ V}{R_{TH}}= \frac{1.6 \ V – 0.7 \ V}{6.8 \ k\Omega }= 132 \ \mu A

(b) I_{c}= β I_{B} = 200(132  \ μA) = 26.5  \ mA

(c) V_{OUT} = I_{C} R_{L}= (26.5  \ mA)(470  \ Ω) = 12.4  \ V

P_{L}= \frac{V^{2}_{OUT} }{R_{L}}= \frac{(12.4 \ V)^{2}}{470 \ \Omega } = 327 \ mW

(d) P_{L} = I^{2}_{B} R_{L}= (132  \ μA)^{2}(470  \ Ω) = 8.19  μW

The power in the load resistor is 327 mW/8.19 μW = 39.927 times greater than the power that the Thevenin input circuit could deliver to the same load. This illustrates that the transistor can operate as a power amplifier.

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