(B) The magnetic field at the centre of a circular coil is given by $B = \frac{\mu_0 N i}{2r}$.Since the two coils carry currents in opposite directio

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(B) The magnetic field at the centre of a circular coil is given by $B = \frac{\mu_0 N i}{2r}$.Since the two coils carry currents in opposite directions, the net magnetic field at the centre will be the difference between the two fields.Given: $N = 10$, $i_1 = 0.2 \ A$, $r_1 = 0.2 \ m$, $i_2 = 0.3 \ A$, $r_2 = 0.4 \ m$.$B_{\text{net}} = |B_1 - B_2| = \frac{\mu_0 N}{2} |\frac{i_1}{r_1} - \frac{i_2}{r_2}|$$B_{\text{net}} = \frac{10 \mu_0}{2} |\frac{0.2}{0.2} - \frac{0.3}{0.4}|$$B_{\text{net}} = 5 \mu_0 |1 - 0.75|$$B_{\text{net}} = 5 \mu_0 \times 0.25 = \frac{5}{4} \mu_0$.

Class 12 Physics Moving Charges and Magnetism Biot-Savart's Law and its application

Difficult

Two concentric coils of $10$ turns each are placed in the same plane. Their radii are $20 \ cm$ and $40 \ cm$ and carry $0.2 \ A$ and $0.3 \ A$ current respectively in opposite directions. The magnetic induction (in $T$) at the centre is

TS EAMCET 2008 All TS EAMCET

AP EAMCET 2008 All AP EAMCET

A
$\frac{3}{4} \mu_0$
B
$\frac{5}{4} \mu_0$
C
$\frac{7}{4} \mu_0$
D
$\frac{9}{4} \mu_0$

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Physics Questions

Chapter

Moving Charges and Magnetism

Subtopic

Biot-Savart's Law and its application

Previous Year

TS EAMCET 2008 Paper All TS EAMCET years →

Previous Year

AP EAMCET 2008 Paper All AP EAMCET years →

$A$ long insulated copper wire is closely wound as a spiral of $N$ turns. The spiral has inner radius $a$ and outer radius $b$. The spiral lies in the $X-Y$ plane and a steady current $I$ flows through the wire. The $Z$-component of the magnetic field at the center of the spiral is

DifficultIIT 2011

View Solution

$A$ small current element of length $d\ell$ carrying current $I$ is placed at $(1, 1, 0)$ and is carrying current in the $+z$ direction. If the magnetic field at the origin is $\vec{B}_1$ and at the point $(2, 2, 0)$ is $\vec{B}_2$,then:

Medium

View Solution

$A$ regular polygon of $6$ sides is formed by bending a wire of length $4 \pi \text{ m}$. If an electric current of $4 \pi \sqrt{3} \text{ A}$ is flowing through the sides of the polygon,the magnetic field at the centre of the polygon would be $x \times 10^{-7} \text{ T}$. The value of $x$ is . . . . . . .

DifficultJEE MAIN 2024

View Solution

What is the magnetic field at a distance $R$ from a coil of radius $r$ carrying current $I$ along its axis?

MediumAIIMS 2007

View Solution

The magnetic induction at the centre $O$ of the current-carrying bent wire shown in the adjoining figure is:

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Two concentric coils of $10$ turns each are placed in the same plane. Their radii are $20 \ cm$ and $40 \ cm$ and carry $0.2 \ A$ and $0.3 \ A$ current respectively in opposite directions. The magnetic induction (in $T$) at the centre is

Similar Questions

$A$ long insulated copper wire is closely wound as a spiral of $N$ turns. The spiral has inner radius $a$ and outer radius $b$. The spiral lies in the $X-Y$ plane and a steady current $I$ flows through the wire. The $Z$-component of the magnetic field at the center of the spiral is

$A$ small current element of length $d\ell$ carrying current $I$ is placed at $(1, 1, 0)$ and is carrying current in the $+z$ direction. If the magnetic field at the origin is $\vec{B}_1$ and at the point $(2, 2, 0)$ is $\vec{B}_2$,then:

What is the magnetic field at a distance $R$ from a coil of radius $r$ carrying current $I$ along its axis?

The magnetic induction at the centre $O$ of the current-carrying bent wire shown in the adjoining figure is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module