The magnetic field at the centre of a circular coil of radius ' R ', carrying current 2A is ' B₁ '. The magnetic field at the centre of another coil of radius ' 3R ' carrying current 4A is ' B₂ '. The ratio B₁: B₂ is (a) 1: 2 (b) 2: 1 (c) 2: 3 (d) 3: 2

Answer: (d). B = (μ₀ I)/(2R), so B ∝ I/R. (B₁)/(B₂) = (2/R)/(4/(3R)) = 6/4 = 3/2 So the answer is (d) 3:2.

The magnetic field at the centre of a circular coil of radius ' R '… | MHT CET 2023 (10 May, Shift 2)

Q46MHT CET 2023 · 10 MAY · SHIFT 2Easy

Biot-Savart Law & Circular Coils

The magnetic field at the centre of a circular coil of radius ' $R$ ', carrying current $2A$ is ' $B_1$ '. The magnetic field at the centre of another coil of radius ' $3R$ ' carrying current $4A$ is ' $B_2$ '. The ratio $B_1 : B_2$ is

Show answer and solution

Answer: (d)

$B = \frac{\mu_0 I}{2R}$ , so $B \propto \frac{I}{R}$ .
$\frac{B_1}{B_2} = \frac{2/R}{4/(3R)} = \frac{6}{4} = \frac{3}{2}$
So the answer is (d) $3:2$ .

Report a mistake

More questions on Biot-Savart Law & Circular Coils

A circular loop of radius r is carrying current I A. The ratio of magnetic field at the…JEE Main 2023 (24 Jan, Shift 1)
A circular arc of radius ' r ' carrying current ' I ' subtends an angle π/16 at its…MHT CET 2023 (11 May, Shift 2)
A straight wire carrying a current of 14 A is bent into a semi-circular arc of radius 2.2…JEE Main 2023 (10 Apr, Shift 2)
Two concentric circular coils A and B have radii 20 cm and 10 cm respectively lie in the…MHT CET 2023 (13 May, Shift 1)
Two similar coils each of radius R are lying concentrically with their planes at right…MHT CET 2023 (12 May, Shift 1)
Two identical circular wires of radius 20 cm and carrying current √(2) A are placed in…JEE Main 2023 (6 Apr, Shift 1)
A long wire is bent into a circular coil of one turn and then into a circular coil of…MHT CET 2023 (14 May, Shift 2)
Two circular coils made from same wire but radius of 1 st coil is twice that of 2 nd…MHT CET 2023 (14 May, Shift 1)

Biot-Savart Law & Circular Coils question from MHT CET 2023 (10 May, Shift 2)

More questions on Biot-Savart Law & Circular Coils