Q. An alternating current of rms value 10 A is passed through a $12\ \Omega$ resistor. The maximum potential difference across the resistor is

A) $20V$
B) $90V$
C) 169.68 $V$
D) None of these
Explanation

(c) Here $I_{rms} = 10\ A,\ R = 12\ \Omega$
The maximum current is
$I_{m} = \sqrt{2}\ I_{rms} = \sqrt{2}(10) = 10\sqrt{2}\ A$
Maximum potential difference is $V_{m} = I_{m}R$
$= 10\sqrt{2} \times 12 = 169.68\ V$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.