Question

1. A sinusoidal voltage V (t) has an rms value of 100 V. Its maximum value is:
A. 100V
B. 707V
C. 70.7V
O D. 141 V​

Answer 1

Answer:

b 707V. mark my answer i hope it will work

Answer 2

Answer:

The sinusoidal voltage's maximum value, $V_{max}$ is $141V$.

Therefore, option d) $141V$ is correct.

Explanation:

Given,

The RMS ( root mean square ) value of a sinusoidal voltage, $V_{rms}$ = $100V$

At a RMS value of $100V$, the sinusoidal voltage's maximum value, $V_{max}$ =?

As we know,

• $V_{rms} = \frac{V_{max} }{\sqrt{2} }$

Therefore,

• $V_{max} = \sqrt{2} V_{rms}$
• $V_{max} = 1.41 V_{rms}$            ( $\sqrt{2} = 1.41$ )

After putting the given value of $V_{rms}$ in the equation, we get:

• $V_{max} = 1.41 \times 100$
• $V_{max} = 141V$

Hence, the sinusoidal voltage's maximum value, $V_{max}$ = $141V$.