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 $