Two wires carrying currents of 5 A and 2 A | vedclass

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

Question

(C) According to Ampere's circuital law,the line integral of the magnetic field $\overrightarrow{B}$ around any closed loop is equal to $\mu_0$ times

Vedclass · Accepted Answer

$3 \mu_0$

Vedclass · Answer

(C) According to Ampere's circuital law,the line integral of the magnetic field $\overrightarrow{B}$ around any closed loop is equal to $\mu_0$ times the net current $I_{	ext{enclosed}}$ passing through the loop.$\oint \overrightarrow{B} \cdot d\overrightarrow{l} = \mu_0 I_{	ext{enclosed}}$In the given figure,two wires carrying currents of $5 \ A$ and $2 \ A$ are inside the loop. Since these currents are in opposite directions,the net current enclosed by the loop is $I_{	ext{enclosed}} = 5 \ A - 2 \ A = 3 \ A$.The wire carrying $3 \ A$ current is situated outside the loop,so it does not contribute to the net enclosed current.Therefore,the value of the line integral is $\oint \overrightarrow{B} \cdot d\overrightarrow{l} = \mu_0 	imes 3 \ A = 3 \mu_0$.

Similar Questions

$A$ toroid has a number of turns per unit length $n$ and current $i$. What is the magnetic field inside the toroid?

$A$ toroid of $n$ turns,mean radius $R$ and cross-sectional radius $a$ carries current $I$. It is placed on a horizontal table taken as $xy$-plane. Its magnetic moment $m$ is:

$A$ toroidal solenoid with air core has an average radius $R$,number of turns $N$,and area of cross-section $A$. The self-inductance of the solenoid is (Neglect the field variation across the cross-section of the toroid).

What is the magnetic field at point $P$ located at a distance of $\frac{3R}{2}$ from the center of the cylindrical conductor with inner radius $R$ and outer radius $2R$ carrying a current $i$?

The magnetic field $(B)$ inside a long solenoid having '$n$' turns per unit length and carrying current '$i$' when an iron core is kept in it,is ($\mu_0 =$ permeability of vacuum,$\chi =$ magnetic susceptibility).

Vedclass Test Series

Exam Paper Generator

Online Exam Module