Electromagnetic Induction

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 __________.

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