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Question: A straight wire having mass of 1.2 kg and length of 1 m carries a current of 5 A. If the wire is sus...

A straight wire having mass of 1.2 kg and length of 1 m carries a current of 5 A. If the wire is suspended in mid-air by a uniform horizontal magnetic field, then the magnitude of field is

A

0.65 T

B

1.53 T

C

2.4 T

D

3.2 T

Answer

2.4 T

Explanation

Solution

For mid-air suspension the upward force F on wire due to magnetic field B must be balanced by the force due to gravity then

Here, m=1.2 kg, g=10 ms2,I=5 A,l=1 m\mathrm { m } = 1.2 \mathrm {~kg} , \mathrm {~g} = 10 \mathrm {~ms} ^ { - 2 } , \mathrm { I } = 5 \mathrm {~A} , \mathrm { l } = 1 \mathrm {~m}