A closely wound solenoid of 1000 turns and area of cross section 1.4 × 10-4 m2 carrying a current of 3 A is suspended through its centre allowing it to turn in a horizontal plane. The magnetic moment associated with this solenoid is

Question

A closely wound solenoid of 1000 turns and area of cross section 1.4 × 10-4 m2 carrying a current of 3 A is suspended through its centre allowing it to turn in a horizontal plane. The magnetic moment associated with this solenoid is (A) 0.22 J T-1 (B) 0.32 J T-1 (C) 0.42 J T-1 (D) 0.52 J T-1

Tardigrade Admin · Accepted Answer

Here, n = 1000, A = 1.4 × 10-4 m2, I = 3 A m = nlA = 1000 × 3 × 1.4 × 10-4 = 0.42 J T-1

Q. A closely wound solenoid of $1000$ turns and area of cross section $1.4 \times 1 0^{- 4} m^{2}$ carrying a current of $3 A$ is suspended through its centre allowing it to turn in a horizontal plane. The magnetic moment associated with this solenoid is

$0.22 J T^{- 1}$

$0.32 J T^{- 1}$

$0.42 J T^{- 1}$

$0.52 J T^{- 1}$

Here, $n = 1000$ ,
$A = 1.4 \times 1 0^{- 4} m^{2}$ , $I = 3 A$
$m = n l A = 1000 \times 3 \times 1.4 \times 1 0^{- 4}$
$= 0.42 J T^{- 1}$

Q. A closely wound solenoid of 1000 turns and area of cross section 1.4×10−4m2 carrying a current of 3A is suspended through its centre allowing it to turn in a horizontal plane. The magnetic moment associated with this solenoid is

0.22JT−1

0.32JT−1

0.42JT−1

0.52JT−1