Magnetic Effects Of Current Question 94

Question: The magnetic field at the centre of a circular coil of radius r carrying current I is $ B_{1} $ . The field at the centre of another coil of radius 2 r carrying same current I is $ B_{2} $ . The ratio $ \frac{B_{1}}{B_{2}} $ is [MP PET 2001]

Options:

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

B) 1

C) 2

D) 4

Show Answer

Answer:

Correct Answer: C

Solution:

$ B\propto \frac{1}{r}\Rightarrow \frac{B_{1}}{B_{2}}=\frac{r_{2}}{r_{1}}=\frac{2r}{r}=2 $