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 ⁡ ω t . The emf induced in the smaller inner loop is nearly:

Question

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 &#8289; &#969; t . The emf induced in the smaller inner loop is nearly:

Aicharya · Accepted Answer

Induced emf, &#949; = M d I d t , Current is given as, I = I 0 c o s &#969; t &#160; M = &#956; 0 &#960; a 2 2 b , &#160; &#949; = - M d d t &#160; ( I 0 cos &#969; t ) c = M &#160; &#969; I 0 &#160; sin &#969; t = &#956; 0 &#960; a 2 2 b &#969; &#160; I 0 sin &#8289; &#160; &#969; t

A small circular loop of wire of radius a is located at the centre of a much larger circular wire loop of…

Solution