A very long wire carrying a current I = 4 sqr | vedclass

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

Question

(D) Given: $\mu_0 = 4 \pi 	imes 10^{-7} \, H/m$, distance $d = 20 \, cm = 0.2 \, m$, and current $I = 4 \sqrt{2} \, A$.For a semi-infinite wire, the

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(D) Given: $\mu_0 = 4 \pi 	imes 10^{-7} \, H/m$, distance $d = 20 \, cm = 0.2 \, m$, and current $I = 4 \sqrt{2} \, A$.For a semi-infinite wire, the magnetic field at a perpendicular distance $d$ from one end is given by $B = \frac{\mu_0 I}{4 \pi d}$.For wire $1$, the magnetic field at point $P$ is $B_1 = \frac{\mu_0 I}{4 \pi d} = 10^{-7} 	imes \frac{4 \sqrt{2}}{0.2} = 2 \sqrt{2} 	imes 10^{-6} \, T$.For wire $2$, the magnetic field at point $P$ is $B_2 = \frac{\mu_0 I}{4 \pi d} = 10^{-7} 	imes \frac{4 \sqrt{2}}{0.2} = 2 \sqrt{2} 	imes 10^{-6} \, T$.Since the magnetic fields $B_1$ and $B_2$ are perpendicular to each other, the resultant magnetic field $B$ at point $P$ is:$B = \sqrt{B_1^2 + B_2^2} = \sqrt{(2 \sqrt{2} 	imes 10^{-6})^2 + (2 \sqrt{2} 	imes 10^{-6})^2}$$B = \sqrt{8 	imes 10^{-12} + 8 	imes 10^{-12}} = \sqrt{16 	imes 10^{-12}} = 4 	imes 10^{-6} \, T = 4 \, \mu T$.

Similar Questions

Among the following,the unit of permeability is $NOT$ represented by

Which one of the following options represents the magnetic field $\vec{B}$ at $O$ due to the current $I$ flowing in the given wire segments lying on the $xy$ plane?

The Earth's magnetic induction at a certain point is $7 \times 10^{-5} \ Wb/m^2$. This is to be annulled by the magnetic induction at the center of a circular conducting loop of radius $5 \ cm$. The required current in the loop is......$A$

Consider a tightly wound $100$ turn coil of radius $10 \,cm$ carrying a current of $2 \,A$. The magnitude of the magnetic field at the centre of the coil is

Two infinite wires bent in the form of an $L$ shape carry current $I$ as shown. What is the magnetic field at $O$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module