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Question: A 2.5 m long straight wire having mass of 500 g is suspended in mid air by a uniform horizontal magn...

A 2.5 m long straight wire having mass of 500 g is suspended in mid air by a uniform horizontal magnetic field B. If a current of 4 A is passing through the wire then the magnitude of the field is (Take g=10 m s-2)

A

0.5 T

B

0.6 T

C

0.25 T

D

0.8 T

Answer

0.5 T

Explanation

Solution

Hence, m = 500g = 0.50.5 kg, I= 4A, l =

As

(θ=90\left( \because \theta = 90 ^ { \circ } \right. and F=mg)\left. \mathrm { F } = \mathrm { mg } \right)

B=mgIl=0.5×104×2.5=0.5 T\therefore \mathrm { B } = \frac { \mathrm { mg } } { \mathrm { Il } } = \frac { 0.5 \times 10 } { 4 \times 2.5 } = 0.5 \mathrm {~T}