Magnetic Effects Of Current Question 113

Question: A long solenoid carrying a current produces a magnetic field B along its axis. If the current is doubled and the number of turns per cm is halved, the new value of the magnetic field is [CBSE PMT 2003]

Options:

A) B

B) 2 B

C) 4 B

D) B/2

Show Answer

Answer:

Correct Answer: A

Solution:

$ B={\mu_{0}}ni\Rightarrow \frac{B}{{{B}’}}=\frac{n}{{{n}’}}\times \frac{i}{{{i}’}}=\frac{1}{(1/2)}\times \frac{1}{2}=1\Rightarrow {B}’=B $