What is the magnetic field at point P in the | vedclass

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

Question

(D) The magnetic field due to a finite straight wire at a point $P$ is given by the formula: $B = \frac{{{\mu _0}i}}{{4\pi r}}(\sin {\phi _1} + \sin {

Vedclass · Accepted Answer

$\frac{{\sqrt 2 {\mu _0}i}}{{8\pi l}}$

Vedclass · Answer

(D) The magnetic field due to a finite straight wire at a point $P$ is given by the formula: $B = \frac{{{\mu _0}i}}{{4\pi r}}(\sin {\phi _1} + \sin {\phi _2})$ where $r$ is the perpendicular distance from the wire to point $P$. From the figure,the perpendicular distance $r = l$. The wire extends from the level of point $P$ downwards to a distance $l$. Thus,the angles subtended at point $P$ by the ends of the wire are $\phi _1 = 0^\circ$ and $\phi _2 = 45^\circ$ (since the wire length is $l$ and the horizontal distance is $l$,$	an \phi _2 = l/l = 1$,so $\phi _2 = 45^\circ$). Substituting these values into the formula: $B = \frac{{{\mu _0}i}}{{4\pi l}}(\sin 0^\circ + \sin 45^\circ)$ $B = \frac{{{\mu _0}i}}{{4\pi l}}(0 + \frac{1}{{\sqrt 2 }})$ $B = \frac{{{\mu _0}i}}{{4\sqrt 2 \pi l}} 	imes \frac{{\sqrt 2 }}{{\sqrt 2 }} = \frac{{\sqrt 2 {\mu _0}i}}{{8\pi l}}$

What is the magnetic field at point $P$ in the given figure?

Similar Questions

The magnetic field due to a straight conductor of uniform cross section of radius $a$ and carrying a steady current is represented by

The magnetic field at the center of a current-carrying circular loop is $B_{1}$. The magnetic field at a distance of $\sqrt{3}R$ from the center on its axis is $B_{2}$,where $R$ is the radius of the loop. The value of $B_{1} / B_{2}$ is:

The wire loop $PQRSP$ formed by joining two semicircular wires of radii $R_1$ and $R_2$ carries a current $I$ as shown. The magnitude of the magnetic field at the centre '$O$' is

Describe the arrangement of iron filings sprinkled around a straight current-carrying wire.

Which law is useful to determine the relation between current and the magnetic field produced by it?

Vedclass Test Series

Exam Paper Generator

Online Exam Module