Magnetic Effects Of Current Question 32

Question: The magnetic induction at a point P which is distant 4 cm from a long current carrying wire is $ {{10}^{-8}},Tesla $ . The field of induction at a distance 12 cm from the same current would be [CBSE PMT 1990; DPMT 2001]

Options:

A) $ 3.33\times {{10}^{-9}},Tesla $

B) $ 1.11\times {{10}^{-4}},Tesla $

C) $ 3\times {{10}^{-3}},Tesla $

D) $ 9\times {{10}^{-2}},Tesla $

Show Answer

Answer:

Correct Answer: A

Solution:

$ B=\frac{{\mu_{0}}}{4\pi }\cdot \frac{2i}{r} $

Þ $ \frac{B_{1}}{B_{2}}=\frac{r_{2}}{r_{1}} $

Þ $ \frac{{{10}^{-8}}}{B_{2}}=\frac{12}{4} $

Þ $ B_{2}=3.33\times {{10}^{-9}},Tesla $