MHT CET (PCB) 2025 9th April Morning Shift | Moving Charges and Magnetism Question 5 | Physics

The magnetic field at the centre of a current carrying circular coil of area ' $A$ ' is ' $B$ '. The magnetic moment of the coil is $x$ times $\left(2 B / \mu_0\right)$. The value of $x$ is ( $\mu_0=$ permeability of free space)

$\left(\frac{\mathrm{A}}{\pi^2}\right)^{\frac{1}{3}}$

$\left(\frac{\pi^3}{A^3}\right)^{\frac{1}{2}}$

$\left(\frac{\pi^2}{\mathrm{~A}^2}\right)^{\frac{1}{3}}$

$\left(\frac{A^3}{\pi}\right)^{\frac{1}{2}}$

MHT CET (PCB) 2024 22th April Evening Shift

MCQ (Single Correct Answer)

-0

To manufacture a solenoid of length ' $l$ ' and inductance ' $L$ ', the length of the thin wire required is (cross - sectional diameter of a solenoid is considerably less than length, $\mu_0=$ permeability of free space)

$\left[\frac{4 \pi \ell_0 L}{\mu_0}\right]^{1 / 2}$

$\left[\frac{2 \pi \ell_0 \mathrm{~L}}{\mu_0}\right]^{1 / 2}$

$\left[\frac{8 \pi \ell_0 L^2}{\mu_0}\right]^{\frac{1}{2}}$

$\left[\frac{\pi \ell_0^2 L}{\mu_0}\right]^{\frac{1}{2}}$

MHT CET (PCB) 2024 22th April Evening Shift

MCQ (Single Correct Answer)

-0

The magnitude of magnetic induction at a point on the axis at a large distance ' $r$ ' from the centre of a circular coil of ' $n$ ' turns and area ' $A$ ' carrying current ' I ' is ( $\mu_0=$ permeabilty of free space)

$\mathrm{B}_{\text {axis }}=\frac{\mu_0}{4 \pi} \frac{\mathrm{nA}}{\mathrm{Ir}^3}$

$\quad \mathrm{B}_{\text {axis }}=\frac{\mu_0}{4 \pi} \frac{2 \mathrm{nIA}}{\mathrm{r}^3}$

$\mathrm{B}_{\text {axis }}=\frac{\mu_0}{4 \pi} \frac{2 \mathrm{nI}}{\mathrm{Ar}^3}$

$\quad B_{\text {axis }}=\frac{\mu_0}{4 \pi} \frac{n A}{r^3}$

MHT CET (PCB) 2024 22th April Evening Shift

MCQ (Single Correct Answer)

-0

A circular coil carrying current ' $I$ ' has radius ' $R$ ' and magnetic field at the centre is ' $B$ '. At what distance from the centre along the axis of the same coil, the magnetic field will be $\frac{\mathrm{B}}{8}$ ?

$\mathrm{R} \sqrt{2}$

$\mathrm{R} \sqrt{3}$

$\quad 2 R$

$3 R$

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