A and B are two concentric circular loops car | vedclass

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

Question

(D) The magnetic field at the centre of a circular loop of radius $r$ carrying current $i$ is given by $B = \frac{\mu_0 i}{2r}$.For loop $A$,$B_1 = \f

Vedclass · Accepted Answer

$\frac{1}{6}$

Vedclass · Answer

(D) The magnetic field at the centre of a circular loop of radius $r$ carrying current $i$ is given by $B = \frac{\mu_0 i}{2r}$.For loop $A$,$B_1 = \frac{\mu_0 i_1}{2r_1}$.For loop $B$,$B_2 = \frac{\mu_0 i_2}{2r_2}$.The ratio of the magnetic flux densities is given as $\frac{B_1}{B_2} = \frac{1}{3}$.Substituting the expressions,we get $\frac{B_1}{B_2} = \frac{i_1}{r_1} 	imes \frac{r_2}{i_2} = \frac{1}{3}$.Given the ratio of radii $\frac{r_1}{r_2} = \frac{1}{2}$,which implies $\frac{r_2}{r_1} = 2$.Substituting this into the ratio equation: $\frac{i_1}{i_2} 	imes 2 = \frac{1}{3}$.Therefore,$\frac{i_1}{i_2} = \frac{1}{3} 	imes \frac{1}{2} = \frac{1}{6}$.

$A$ and $B$ are two concentric circular loops carrying currents $i_1$ and $i_2$ as shown in the figure. If the ratio of their radii is $1:2$ and the ratio of the magnetic flux densities at the centre $O$ due to $A$ and $B$ is $1:3$,then the value of $\frac{i_1}{i_2}$ will be

Similar Questions

$A$ wire is first bent in the form of a circular coil of $5$ turns and the same wire is then bent in the form of another circular coil of $10$ turns. If the same current is passed in both the coils,then the ratio of the magnetic fields at their centres is

$A$ cell is connected between two points of a uniformly thick circular conductor. The magnetic field at the centre of the loop will be

The source of magnetic field is . . . . . . and source of electric field is . . . . . . .

The magnitude of magnetic induction at the mid-point $O$ due to the current arrangement as shown in the figure will be:

The magnetic field induction at the centre of a circular coil of radius $5 \,cm$ carrying a current of $0.9 \,A$ is (in $SI$ units) (where $\varepsilon_0$ is the absolute permittivity of air in $SI$ units, and the velocity of light $c = 3 \times 10^8 \,ms^{-1}$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module