Question

An alternating current is supplied to an electronic component with a rating that the voltage across it can never, even for an instant, exceed 16 V. What is the highest rms voltage that can be supplied to this component while staying below the voltage limit?
A)8 sqrt 2 V

B) 16 sqrt 2 V

C) 256 V

D) 8

Answer 1

Answer:

A) $V_{rms}=8\sqrt{2} V$

Explanation:

Maximum voltage =$V_{max}=16 V$

Maximum voltage and rms voltage are related to each other by

$V_{max}=V_{rms} \times \sqrt{2} \\V_{rms}=\frac{V_{max}}{ \sqrt{2}}\\V_{rms}=\frac{16}{\sqrt{2}} \\V_{rms}=8\sqrt{2} V$