A closely wound circular coil of radius 5 cm produces a magnetic… | JEE Main 2022 (29 Jul, Shift 1)

Q69JEE Main 2022 · 29 JUL · SHIFT 1Easy

Biot-Savart Law & Circular Coils

A closely wound circular coil of radius 5 cm produces a magnetic field of $37.68 \times 10^{-4}\text{ T}$ at its center. The current through the coil is _________A.

[Given, number of turns in the coil is 100 and $\pi = 3.14$ ]

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 3

$B = \frac{\mu_0 N I}{2r}$ , so $I = \frac{2rB}{\mu_0 N}$ .
$I = \frac{2\times 0.05\times 37.68\times10^{-4}}{4\times 3.14\times10^{-7}\times 100} = \frac{3.768\times10^{-4}}{1.256\times10^{-4}}$
So the current is $3\text{ A}$ .

Report a mistake

More questions on Biot-Savart Law & Circular Coils

The magnetic field on the axis of a circular loop of radius 100 cm carrying current I =…NEET 2022 (Phase 2)
The electric current in a circular coil of 2 turns produces a magnetic induction B1 at…JEE Main 2022 (25 Jul, Shift 2)
The magnetic field at the center of current carrying circular loop is B₁. The magnetic…JEE Main 2022 (28 Jul, Shift 2)
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)

Biot-Savart Law & Circular Coils question from JEE Main 2022 (29 Jul, Shift 1)

More questions on Biot-Savart Law & Circular Coils