Magnetic Effects Of Current Question 108

Question: The ratio of the magnetic field at the centre of a current carrying coil of the radius a and at a distance ?a? from centre of the coil and perpendicular to the axis of coil is [MP PET 2002]

Options:

A) $ \frac{1}{\sqrt{2}} $

B) $ \sqrt{2} $

C) $ \frac{1}{2\sqrt{2}} $

D) $ 2\sqrt{2} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ \frac{B_{c}}{B_{a}}={{( 1+\frac{x^{2}}{a^{2}} )}^{3/2}}={{( 1+\frac{a^{2}}{a^{2}} )}^{3/2}}={{( 1+1 )}^{3/2}}=2\sqrt{2} $