A circular coil of 300 turns and diameter 14 cm carries a current of 15 A. The magnitude of magnetic moment associated with the loop is

Question

A circular coil of 300 turns and diameter 14 cm carries a current of 15 A. The magnitude of magnetic moment associated with the loop is (A) 51.7 J T-1 (B) 69.2 J T-1 (C) 38.6 J T-1 (D) 19.5 J T-1

Tardigrade Admin · Accepted Answer

Here, N = 300, I = 15 A, r = 7 cm = 7 × 10-2 m ∴ M = NIA = NI × π r2 = 300 × 15 × 3.14 × (7 × 10-2)2 = 69.2 J T-1

Q. A circular coil of $300$ turns and diameter $14 c m$ carries a current of $15 A$ . The magnitude of magnetic moment associated with the loop is

$51.7 J T^{- 1}$

$69.2 J T^{- 1}$

$38.6 J T^{- 1}$

$19.5 J T^{- 1}$

Here, $N = 300$ , $I = 15 A$ , $r = 7 c m = 7 \times 1 0^{- 2} m$
$∴ M = N I A = N I \times π r^{2}$
$= 300 \times 15 \times 3.14 \times (7 \times 1 0^{- 2})^{2} = 69.2 J T^{- 1}$

Q. A circular coil of 300 turns and diameter 14cm carries a current of 15A. The magnitude of magnetic moment associated with the loop is

51.7JT−1

69.2JT−1

38.6JT−1

19.5JT−1