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Question: A solenoid of cross-sectional area 2 x 10~4 m2 and 900 turns has 0.6 A m2 magnetic moment. Then the ...

A solenoid of cross-sectional area 2 x 10~4 m2 and 900 turns has 0.6 A m2 magnetic moment. Then the current flowing through it is

A

2.24 A

B

2.34 m A

C

3.33 A

D

3.33 Ma

Answer

3.33 A

Explanation

Solution

: Here, n = 900 turns,

A=2×104 m2, ms=0.6Am2\mathrm { A } = 2 \times 10 ^ { - 4 } \mathrm {~m} ^ { 2 } , \mathrm {~m} _ { \mathrm { s } } = 0.6 \mathrm { Am } ^ { 2 }

The magnetic moment of solenoid,

The current flowing through the solenoid is,

I=msNA=0.6900×2×104=3.33 A\mathrm { I } = \frac { \mathrm { m } _ { \mathrm { s } } } { \mathrm { NA } } = \frac { 0.6 } { 900 \times 2 \times 10 ^ { - 4 } } = 3.33 \mathrm {~A}