The dimensions of the ratio of magnetic flux | vedclass

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

Question

(A) Magnetic flux,$\phi = B A$ $(1)$,where $B$ is the magnetic field and $A$ is the area.Also,$B = \mu H$ $(2)$,where $\mu$ is permeability and $H$ is

Vedclass · Accepted Answer

$[M^{0} L^{1} T^{0} A^{1}]$

Vedclass · Answer

(A) Magnetic flux,$\phi = B A$ $(1)$,where $B$ is the magnetic field and $A$ is the area.Also,$B = \mu H$ $(2)$,where $\mu$ is permeability and $H$ is magnetic field intensity.Substituting Eq. $(2)$ into Eq. $(1)$,we get $\phi = (\mu H) A$.Rearranging,we find the ratio $\frac{\phi}{\mu} = H A$.The dimensions of area $A$ are $[L^{2}]$.The magnetic field intensity $H$ is defined as $\frac{	ext{Number of turns} 	imes 	ext{Current}}{	ext{Length}}$,so its dimensions are $[L^{-1} A]$.Therefore,the dimensions of $\frac{\phi}{\mu} = [L^{-1} A] 	imes [L^{2}] = [L^{1} A]$.In terms of $M, L, T, A$,this is $[M^{0} L^{1} T^{0} A^{1}]$.

The dimensions of the ratio of magnetic flux $(\phi)$ and permeability $(\mu)$ are

Similar Questions

An arc of a circle of radius $R$ subtends an angle $\frac{\pi}{2}$ at the centre. It carries a current $I$. The magnetic field at the centre will be ($\mu_0 =$ permeability of free space).

$A$ current of $I$ $A$ is passed through a straight wire of length $2.0$ $m$. The magnetic field at a point in air at a distance of $3$ $m$ from either end of the wire and lying on the axis of the wire will be:

Two concentric coils of $10$ turns each are placed in the same plane. Their radii are $20 \ cm$ and $40 \ cm$ and carry $0.2 \ A$ and $0.3 \ A$ current respectively in opposite directions. The magnetic induction (in $T$) at the centre is

$A$ long wire carries a steady current. It is bent into a circle of one turn and the magnetic field at the centre of the coil is $B$. It is then bent into a circular loop of $n$ turns. The magnetic field at the centre of the coil for the same current will be

The unit of magnetic permeability is

Vedclass Test Series

Exam Paper Generator

Online Exam Module