A) 70.7 V, 70.7 mA
B) 60.9 V, 69.3 mA
C) 90.6 V,-141.4 mA
D) 60 V, 70 mA
Correct Answer: A
Solution :
The instantaneous voltage is \[E=100\,\sin \,(100\,t)\] volt ... (i) Compare it with \[E={{E}_{0}}\sin (\omega \,t)\] volt We get \[{{E}_{0}}=100\] volt, \[\omega =100\] rad \[{{s}^{-1}}\] The rms value of voltage is \[{{E}_{rms}}=\frac{{{E}_{0}}}{\sqrt{2}}=\frac{100}{\sqrt{2}}\] volt = 70.7 V The instantaneous value of current is \[I=100\sin \,\,\left( 100\,t+\frac{\pi }{3} \right)mA\] Compare it with \[I={{I}_{0}}\sin (\omega \,t+\phi )\] We get, \[{{I}_{0}}=100\,mA,\,\omega =100\] rad \[{{s}^{-1}}\] The rms value of current is \[{{I}_{rms}}=\frac{{{I}_{0}}}{\sqrt{2}}=\frac{100}{\sqrt{2}}mA=70.7\,mA\]
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