A) \[2.5\times {{10}^{-3}}C\]
B) \[2.5\times {{10}^{-4}}C\]
C) \[5\times {{10}^{-5}}C\]
D) \[7.5\times {{10}^{-2}}C\]
Correct Answer: A
Solution :
Capacitive reactance \[{{X}_{C}}=\frac{1}{\omega C}=\frac{1}{2\pi \times 50\times 8\times {{10}^{-6}}}=398\,\Omega \] \[{{V}_{rms}}=220\,V,,{{V}_{peak}}=\sqrt{2}\times 220\] \[=311\,V\] \[{{q}_{rms}}={{V}_{rms}}V=1.76\times {{10}^{-3}}C\] Peak value of charge \[{{q}_{peak}}=\sqrt{2}{{q}_{rms}}=1.76\times {{10}^{-3}}\times \sqrt{2}\] \[=2.5\times {{10}^{-3}}C\]
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