A) 198 \[\Omega \]
B) \[300\,\Omega \]
C) \[100\,\Omega \]
D) \[400\,\Omega \]
Correct Answer: A
Solution :
Power gain \[=\] Current gain \[\times \] volume gain Volatge gain \[{{A}_{V}}=\beta \frac{{{R}_{2}}}{{{R}_{1}}}\] Also, current gain \[\beta =\frac{\alpha }{1-\alpha }=\frac{0.98}{1-0.98}=49\] \[\therefore \] \[{{A}_{V}}=(49)\left( \frac{500\times {{10}^{3}}}{{{R}_{1}}} \right)\] Power gain \[=6.0625\times {{10}^{6}}\] \[=49\times \left( \frac{500\times {{10}^{3}}}{{{R}_{1}}} \right)\times 49\] \[\Rightarrow \] \[{{R}_{1}}=198\,\Omega \]
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