A part of a long wire carrying a current i is | vedclass

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

Question

(C) The magnetic field at the center $O$ due to the circular loop of radius $r$ is given by $B_{	ext{loop}} = \frac{{\mu _0 i}}{{2r}}$,directed perpe

Vedclass · Accepted Answer

$\frac{{\mu _0 i}}{{2\pi r}}(\pi + 1)$

Vedclass · Answer

(C) The magnetic field at the center $O$ due to the circular loop of radius $r$ is given by $B_{	ext{loop}} = \frac{{\mu _0 i}}{{2r}}$,directed perpendicularly outwards (using the right-hand thumb rule).The magnetic field at the center $O$ due to the long straight wire at a distance $r$ is given by $B_{	ext{wire}} = \frac{{\mu _0 i}}{{2\pi r}}$,also directed perpendicularly outwards.Since both magnetic fields are in the same direction,the net magnetic field $B_{	ext{net}}$ is the sum of the two:$B_{	ext{net}} = B_{	ext{loop}} + B_{	ext{wire}}$$B_{	ext{net}} = \frac{{\mu _0 i}}{{2r}} + \frac{{\mu _0 i}}{{2\pi r}}$$B_{	ext{net}} = \frac{{\mu _0 i}}{{2\pi r}}(\pi + 1)$

$A$ part of a long wire carrying a current $i$ is bent into a circle of radius $r$ as shown in the figure. The net magnetic field at the centre $O$ of the circular loop is

Similar Questions

$A$ long straight wire of radius $a$ carries a steady current $i$. The current is uniformly distributed across its cross-section. The ratio of the magnetic field at $a/2$ and $2a$ is:

Two circular loops having same radius $[ R = 10 \, cm ]$ and same current $[ I = \frac{7}{2} \, A ]$ are placed along the same axis as shown. If the distance between their centers is $[ 10 \, cm ]$,find the net magnetic field at point $P$ located at the midpoint between them.

Two long straight conductors with currents $I_1$ and $I_2$ are placed along $X$ and $Y$-axes respectively. The equation of the locus of points of zero magnetic induction is:

Find the magnitude of the magnetic field at point $p$ due to the semi-infinite wire shown below.

Vedclass Test Series

Exam Paper Generator

Online Exam Module