Question

An alternating voltage is given by 100 sin 314t volts .Its average value will be?​

Answer 1

Answer:

ms

=141.42 V is the rms voltage

f=0.5\ Hzf=0.5 Hz

T=2\ sT=2 s

Explanation:

Here we are given that:

V=100\ \sin(314\ t)V=100 sin(314 t)

here:

V_0=100\ VV

0

=100 V is the maximum value of the voltage.

For a sinusoidal parameter we have the RMS value as:

V_{rms}=\frac{V_0}{\sqrt{2} }V

rms

=

2

V

0

Hence

V_{rms}=\frac{100}{\sqrt{2} }V

rms

=

2

100

V_{rms}=141.42\ VV

rms

=141.42 V

On Comparing we've:

\omega=314\ rad.s^{-1}ω=314 rad.s

−1

we know :

\omega=2\pi.fω=2π.f

where:

f=f= frequency

f=\frac{314}{2\pi}f=

2π

314

f=0.5\ Hzf=0.5 Hz

Time period:

T=\frac{1}{f}T=

f

1

T=2\ sT=2 s