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Magnetic induction at a distance of 20 cm from the axis of long straight wire carrying a current i is 5 µT. Then what is the magnetic induction at a distance 40 cm from the axis of a long straight wire carrying a current 2i?

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a

3 µT

b

4.5 µT

c

2.5 µT

d

5 µT

answer is D.

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Detailed Solution

B=μoi2πr⇒B2B1=i2i1r1r2⇒B25=22040⇒B2=5μT

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Magnetic induction at a distance of 20 cm from the axis of long straight wire carrying a current i is 5 µT. Then what is the magnetic induction at a distance 40 cm from the axis of a long straight wire carrying a current 2i?