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Q.

P and Q are two points at distances 10 cm and 20 cm from the axis of a long thin straight current carrying wire. Then the ratio of magnetic energy densities at P and Q is

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a

2 : 1

b

4 : 1

c

8 : 1

d

16 : 1

answer is B.

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Detailed Solution

(2)At distance r from the axis of a current carrying wire,B=μ0i2πr  and  magneticenergy  density  u=B22μ0 =  μ0i28π2.r2  ⇒   u  ∝  1r2∴    uPuQ=  20102=4
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