If the rms current in a 50 Hz ac circuit is 5 A, the value of the current 1/300 seconds after its value becomes zero is

Question

If the rms current in a 50 Hz ac circuit is 5 A, the value of the current 1/300 seconds after its value becomes zero is (A) 5√2 A (B) 5√(3/2) A (C) (5/6) A (D) (5/√2) A

Tardigrade Admin · Accepted Answer

Here, Irms = 5 A, upsilon = 50 Hz, t=(1/300) s I0=√2 Irms=5√2 A, I=I0 sinω t=I0 sin2π upsilon t=5√2 sin(2π × 50 × (1/300)) =5√2 sin (π/3) =5√2 (√3/2) =5√(3/2) A

Q. If the rms current in a $50 Hz$ ac circuit is $5 A$ , the value of the current $1/300$ seconds after its value becomes zero is

$52 A$

$5 \frac{3}{2} A$

$\frac{5}{6} A$

$\frac{5}{2} A$

Here, $I_{r m s} = 5 A$ , $υ = 50 Hz$ ,
$t = \frac{1}{300} s$
$I_{0} = 2 I_{r m s} = 52 A$ ,
$I = I_{0} s inω t = I_{0} s in 2 π υ t = 52 s in (2 π \times 50 \times \frac{1}{300})$
$= 52 s in \frac{π}{3}$
$= 52 \frac{3}{2}$
$= 5 \frac{3}{2} A$

Q. If the rms current in a 50Hz ac circuit is 5A, the value of the current 1/300 seconds after its value becomes zero is

52​A

523​​A

65​A

2​5​A