Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismMiscellaneousMedium2 minPYQ_2020

PhysicsMediumnumerical

The magnetic field induction at the centre of a current-carrying circular coil (coil 1) and a closed coil (coil 2), shaped as a quarter of a disc is found to be equal in magnitude. If both the coils have equal area, then find the ratio of the currents flowing in coil 2 and coil 1.

Answer:

8.00

Solution:

Let $r$ and $x$ be the radius of circular and quarter circular coil, then ${πr}^{2} = \frac{{πx}^{2}}{4} \Rightarrow x = 2 r$ .
$\frac{μ_{0}}{4 π} \frac{2 πI}{r} = \frac{μ_{0}}{4 π} \frac{π}{2} \frac{I'}{x} \Rightarrow \frac{I'}{I} = \frac{4 x}{r} = 8$

Stream:JEESubject:PhysicsTopic:MagnetismSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

Doubts & Discussion

Loading discussions...