Magnetic Effects Of Current Question 33

Question: The strength of the magnetic field at a point r near a long straight current carrying wire is B. The field at a distance $ \frac{r}{2} $ will be [MP PMT 1990]

Options:

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

B) $ \frac{B}{4} $

C) 2B

D) 4B

Show Answer

Answer:

Correct Answer: C

Solution:

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