A square loop of side 2.0 ~cm is placed inside a long solenoid that has 50 turns per centimetre and carries a sinusoidally varying current of amplitude 2.5 ~A and angular frequency 700 ~rad ~s⁻¹. The central axes of the loop and solenoid coincide. The amplitude of the emf induced in the loop is x × 10⁻⁴ ~V. The value of x is _ _ _ _ _. (Take, π=22/7)

Electromagnetic Induction and Alternating Currents: JEE Main 2023 Physics question

JEE Main 2023 · 10 Apr, Evening shift · Q55

JEE Main 202310 Apr, Evening shiftPhysicsHardElectromagnetic Induction and Alternating Currents149× since 2002

A square loop of side

2.0 \mathrm{~cm}

is placed inside a long solenoid that has 50 turns per centimetre and carries a sinusoidally varying current of amplitude

2.5 \mathrm{~A}

and angular frequency

700 ~\mathrm{rad} ~\mathrm{s}^{-1}

. The central axes of the loop and solenoid coincide. The amplitude of the emf induced in the loop is

x \times 10^{-4} \mathrm{~V}

. The value of

x

is __________.

\text { (Take, } \pi=\frac{22}{7} \text { ) }

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 Electromagnetic Induction and Alternating Currents Question with Answer (10 Apr Evening shift, Q55) | JEE Arc