JEE Main 2025 Apr 4 Shift 1, Physics Q6: Introduction to Alternating Currents and Circuits

JEE Main2025Apr 4, Shift 1Physics

Q.

An alternating current is represented by the equation, $i = 1002 sin (100 π t)$ ampere. The RMS value of current and the frequency of the given alternating current are

A
$1002$ A, 100 Hz
B
$\frac{100}{2}$ A, 100 Hz
C
100 A, 50 Hz
D
$502$ A, 50 Hz

Solution

The peak current is $i_{0} = 1002$ A, so $i_{rms} = \frac{i _{0}}{2} = 100$ A.

Angular frequency $ω = 100 π$ rad/s, so frequency $f = \frac{ω}{2 π} = 50$ Hz.

Concept behind this question

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