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Question

Question: One metre length of wire carries a constant current. The wire is bent to form a circular loop. The m...

One metre length of wire carries a constant current. The wire is bent to form a circular loop. The magnetic field at the centre of this loop is B. The same is now bent to form a circular loop of smaller radius to have four turns in the loop. The magnetic field at the centre of this new loop is

A

4 B

B

16 B

C

D

B/4B / 4

Answer

16 B

Explanation

Solution

B=n2BB=(4)2B=B=16BB ^ { \prime } = n ^ { 2 } B \Rightarrow B ^ { \prime } = ( 4 ) ^ { 2 } B = B ^ { \prime } = 16 B