A long straight wire carrying a current of 30 | vedclass

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

Question

(C) Given: Current $i = 30 \ A$,External magnetic field $B_1 = 4 	imes 10^{-4} \ T$,Distance $r = 2 \ cm = 2 	imes 10^{-2} \ m$.The magnetic field p

Vedclass · Accepted Answer

$5 	imes 10^{-4}$

Vedclass · Answer

(C) Given: Current $i = 30 \ A$,External magnetic field $B_1 = 4 	imes 10^{-4} \ T$,Distance $r = 2 \ cm = 2 	imes 10^{-2} \ m$.The magnetic field produced by the straight wire at a distance $r$ is given by $B_2 = \frac{\mu_0 i}{2 \pi r}$.Substituting the values: $B_2 = \frac{2 	imes 10^{-7} 	imes 30}{2 	imes 10^{-2}} = 3 	imes 10^{-4} \ T$.Since the external magnetic field $B_1$ is parallel to the wire,the magnetic field $B_2$ produced by the wire (which is tangential to the circular path around the wire) is perpendicular to $B_1$.Therefore,the resultant magnetic field $B$ is $B = \sqrt{B_1^2 + B_2^2}$.$B = \sqrt{(4 	imes 10^{-4})^2 + (3 	imes 10^{-4})^2} = \sqrt{16 	imes 10^{-8} + 9 	imes 10^{-8}} = \sqrt{25 	imes 10^{-8}} = 5 	imes 10^{-4} \ T$.

Similar Questions

What is the ratio of the electric field to the magnetic field produced by a moving point charge if its speed is $4.5 \times 10^{5} \; m/s$?

What is the ratio of the magnetic field at point $O$ in the given figures?

The magnetic induction due to an infinitely long straight wire carrying a current $i$ at a distance $r$ from the wire is given by:

There are two infinitely long straight current-carrying conductors held at right angles to each other such that their common ends meet at the origin, as shown in the figure. The ratio of current in both conductors is $1:1$. The magnetic field at point $P(x, y)$ is:

$A$ wire carrying current $I$ has the shape as shown in the adjoining figure. The linear parts of the wire are very long and parallel to the $X$-axis,while the semicircular portion of radius $R$ lies in the $Y-Z$ plane. The magnetic field at point $O$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module