A small circular loop of wire of radius $a$ is located at the centre of a much larger circular wire loop of radius $b$. The two loops are in the same plane. The outer loop of radius $b$ carries an alternating current $I = I_0\, cos\, (\omega t)$ . The emf induced in the smaller inner loop is nearly
A small circular loop of wire of radius $a$ is located at the centre of a much larger circular wire loop of radius $b$. The two loops are in the same plane. The outer loop of radius $b$ carries an alternating current $I = I_0\, cos\, (\omega t)$ . The emf induced in the smaller inner loop is nearly
- [JEE MAIN 2017]
- A
$\frac{{\pi {\mu _0}{I_0}}}{2}.\frac{{{a^2}}}{b}\omega \,\sin \,\left( {\omega t} \right)$
- B
$\frac{{\pi {\mu _0}{I_0}}}{2}.\frac{{{a^2}}}{b}\omega \,\cos \,\left( {\omega t} \right)$
- C
$\pi {\mu _0}{I_0}\,\frac{{{a^2}}}{b}\omega \,\sin \,\left( {\omega t} \right)$
- D
$\frac{{\pi {\mu _0}{I_0}{b^2}}}{a}\,\omega \,\cos \,\left( {\omega t} \right)$
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- [KVPY 2019]