If an alternating voltage is represented as E =141 sin (628 t ), then the r.m.s value of the voltage and the frequency are respectively

Question

If an alternating voltage is represented as E =141 sin (628 t ), then the r.m.s value of the voltage and the frequency are respectively (A) 141 V , 628 Hz (B) 100 V , 50 Hz (C) 100 V , 100 Hz (D) 141 V , 100 Hz

Tardigrade Admin · Accepted Answer

E =141 sin (628 t ) E rms =(E0/√2)=(141/1.41)=100 V and 2 π f=628 f=(628/6.28)=100 Hz

Q. If an alternating voltage is represented as $E = 141$ $sin (628 t),$ then the r.m.s value of the voltage and the frequency are respectively

$141 V, 628 Hz$

$100 V, 50 Hz$

$100 V, 100 Hz$

$141 V, 100 Hz$

$E = 141 sin (628 t)$
$E_{r m s} = \frac{E _{0}}{2} = \frac{141}{1.41} = 100 V$
and $2 π f = 628$
$f = \frac{628}{6.28} = 100 Hz$

Q. If an alternating voltage is represented as E=141 sin(628t), then the r.m.s value of the voltage and the frequency are respectively

141V,628Hz

100V,50Hz

100V,100Hz

141V,100Hz