Alternating Current - Result Question 5

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5. In an ac circuit an alternating voltage e $=200$ $\sqrt{2} \sin 100 t$ volts is connected to a capacitor of capacity $1 \mu F$. The r.m.s. value of the current in the circuit is

======= ####5. In an ac circuit an alternating voltage e $=200$ $\sqrt{2} \sin 100 t$ volts is connected to a capacitor of capacity $1 \mu F$. The r.m.s. value of the current in the circuit is

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/alternating-current/alternating-current—result-question-5.md (a) $10 mA$

(b) $100 mA$

(c) $200 mA$

(d) $20 mA$

[2011]

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Answer:

Correct Answer: 5. (d)

Solution:

  1. (d) $V _{rms}=\frac{200 \sqrt{2}}{\sqrt{2}}=200 V$

$I _{rms}=\frac{V _{rms}}{X_C}=\frac{\frac{200}{1}}{100 \times 10^{-6}}$

$=2 \times 10^{-2}=20 mA$