A) \[10\,\Omega ,\]
B) \[15\,\Omega ,\]
C) \[2.5\,\Omega ,\]
D) \[25\,\Omega ,\]
E) \[20\,\Omega ,\]
Correct Answer: E
Solution :
\[P=\frac{{{V}^{2}}}{R}\] \[500=\frac{10000}{R}\] \[R=20\,\Omega \] \[P={{i}^{2}}R\] \[{{i}^{2}}=\frac{500}{R}=\frac{500}{20}=25\] \[i=5A\] \[\therefore \] \[i=\frac{V}{(R+{{R}_{1}})}=\frac{200}{(20+{{R}_{1}})}\] \[5=\frac{200}{(20+{{R}_{1}})}\] \[20+{{R}_{1}}=40\] \[{{R}_{1}}=20\,\Omega \]
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