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Question: hA \(5 \mu \mathrm {~F}\)capacitor is connected to a 200 V, 100 Hz ac source. The capacitive reactan...

hA 5μ F5 \mu \mathrm {~F}capacitor is connected to a 200 V, 100 Hz ac source. The capacitive reactance is

A

212Ω\Omega

B

312Ω\Omega

C

318Ω\Omega

D

412Ω\Omega

Answer

318Ω\Omega

Explanation

Solution

: Here, ,

The

capacitive reactance is ,

XC=12×3.14×100×5×106\therefore \mathrm { X } _ { \mathrm { C } } = \frac { 1 } { 2 \times 3.14 \times 100 \times 5 \times 10 ^ { - 6 } }

=3.18×102Ω= 3.18 \times 10 ^ { 2 } \Omega

=318Ω= 318 \Omega