The magnetic field at the center of current carrying circular loop is B₁. The magnetic field at a distance of √(3) times radius of the given circular loop from the center on its axis is B₂. The value of B₁/B₂ will be (a) 9: 4 (b) 12: √(5) (c) 8: 1 (d) 5: √(3)

Answer: (c). (B₁)/(B₂) = (R²+x²)3/2R³ with x = √(3)R. (R²+3R²)3/2 = (4R²)3/2 = 8R³ So the answer is (c) 8: 1.

The magnetic field at the center of current carrying circular loop is… | JEE Main 2022 (28 Jul, Shift 2)

Q72JEE Main 2022 · 28 JUL · SHIFT 2Medium

Biot-Savart Law & Circular Coils

The magnetic field at the center of current carrying circular loop is $B_1$ . The magnetic field at a distance of $\sqrt{3}$ times radius of the given circular loop from the center on its axis is $B_2$ . The value of $B_1/B_2$ will be

Show answer and solution

Answer: (c)

$\dfrac{B_1}{B_2} = \dfrac{(R^2+x^2)^{3/2}}{R^3}$ with $x = \sqrt{3}R$ .
$(R^2+3R^2)^{3/2} = (4R^2)^{3/2} = 8R^3$
So the answer is (c) $8 : 1$ .

Report a mistake

More questions on Biot-Savart Law & Circular Coils

The magnetic field at the centre of a circular coil of radius r, due to current I flowing…JEE Main 2022 (24 Jun, Shift 1)
A coil of n number of turns wound tightly in the form of a spiral with inner and outer…JEE Main 2022 (30 Jun, Shift 1)
An electron (e) moves in circular orbit of radius 'r' with uniform speed 'V'. It produces…MHT CET 2021 (20 Sep, Shift 1)
When a battery is connected to the two ends of a diagonal of a square conductor frame of…MHT CET 2021 (22 Sep, Shift 1)
A thin ring of radius ' R ' meter has charge ' q ' coulomb uniformly spread on it. The…MHT CET 2021 (23 Sep, Shift 1)
A particle having a charge 100e is revolving in a circular path of radius 0.8 m with 1…MHT CET 2021 (22 Sep, Shift 2)
Two concentric coplanar circular loops of radii ' r₁ ' and ' r₂ ' respectively carry…MHT CET 2021 (22 Sep, Shift 1)
A coil having N turns is wound tightly in the form of a spiral with inner and outer radii…JEE Main 2021 (31 Aug, Shift 1)

Biot-Savart Law & Circular Coils question from JEE Main 2022 (28 Jul, Shift 2)

More questions on Biot-Savart Law & Circular Coils