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} $