Question

The rms current in a circuit connected to 50 Hz ac source is 15 A. The value of the current in the circuit `(1/600)s` after the instant the current is zero, is ______.

विकल्प

• `15/sqrt2`A

• `15 sqrt 2`A

• `sqrt 2/15`A

• 8 A

Answer 1

The rms current in a circuit connected to 50 Hz ac source is 15 A. The value of the current in the circuit `(1/600)s` after the instant the current is zero, is `15/sqrt2`A.

Explanation:

I = I₀ sin ωt

or, `I = I_(rms) xx sqrt 2 xx sin (2 pi f t)`

or, `I = 15 xx sqrt 2 xx sin ((2 xx pi xx 50)/600)`

or, `I = 15 xx sqrt 2 xx sin(pi/6)`

∴ `I = 15/sqrt 2`