Question 470: AC fundamentals

Question

In the ac circuit an alternating voltage e = $200\sqrt 2 $sin100t volts is connected to a capacitor of capacity 1 $\mu $F.  The r.m.s. value of the current in the circuit is

Accepted Answer

e
0
= $200\sqrt 2 $ V, $\omega $ = 100 rad s
-1
The capacitive reactance is
X
C
= ${1 \over {\omega C}} = {1 \over {100 	imes 1 	imes {{10}^{ - 6}}}}$
The r.m.s. value of the current in the circuit is
i
r.m.s
= ${{{V_{rms}}} \over {{X_C}}} = {{{{{e_0}} \over {\sqrt 2 }}} \over {{1 \over {\omega C}}}}$
= ${{{{200\sqrt 2 } \over {\sqrt 2 }}} \over {{1 \over {100 	imes {{10}^{ - 6}}}}}}$
= 200 ÃÂ 100 ÃÂ 10
Ã¢ÂÂ6
A = 2 ÃÂ 10
Ã¢ÂÂ2
A = 20 mA

Answer

10 mA

Answer

100 mA

Answer

200 mA

Answer

20 mA

AC fundamentals

In the ac circuit an alternating voltage e = 200\sqrt 2 sin100t volts is connected to a capacitor of capacity 1 \mu F. The r.m.s. value of the current in the circuit is

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