Two concentric coplanar circular loops made of wire with resistance per unit length , have diameters 0.2 m and 2 m. A time varying potential difference (4 + 2.5t) volt is applied to the larger loop. The current (in A) in the smaller loop is _________________.
The situation described in question is shown in figure
The magnetic induction at O, due to the current in large loop is given as
Here we consider that the central loop is very small i.e., r << R, so the field may be considered as constant within the loop. Thus within the loop the field is B0 so the flux through smaller loop is given as
Induced emf in the smaller loop is given as
Thus current i in the smaller loop is given as
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Similar Questions
A square wire loop, of side a has a long straight wire carrying a constant current i that passes through the centre of the loop and perpendicular to its plane as shown in Fig.
The current induced in the square loop is
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