Magnetic Effects Of Current Question 120

Question: The magnetic field due to a current carrying circular loop of radius 3 cm at a point on the axis at a distance of 4 cm from the centre is 54 mT. What will be its value at the centre of the loop [AIEEE 2004]

Options:

A) 250 m T

B) 150 m T

C) 125 m T

D) 75 m T

Show Answer

Answer:

Correct Answer: A

Solution:

$ \frac{B_{center}}{B_{axis}}={{( 1+\frac{x^{2}}{r^{2}} )}^{3/2}}\Rightarrow \frac{B_{center}}{54}={{( 1+{{( \frac{4}{3} )}^{2}} )}^{3/2}}=\frac{125}{27} $ $ B_{center}=250\mu T $