Question

A sinusoidal voltage $V=200sin314t$ is applied to a $10\Omega$ resistor. Find rms voltage.

• A. $141.4V$
• B. $314.2V$
• C. $519.6V$
• D. $278.9V$

Answer 1

Answer: (A)

$141.4V$

$Answer:-$ A

General sinusoidal voltage variation is given by:

$V=V_{0}sin\left(\omega t\right)$

Here, in this equation $V_0$ is peak voltage.

So, on comparing both equation we get:

$V_0=200V,\omega =314$

Relation between rms voltage and peak voltage is:

$V_{rms}=\frac{V_0}{\sqrt{2}}=\frac{200}{\sqrt{2}}=141.4V$