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Magnetic Effects of Curre question bank (Physics)

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Q1.

A circular coil having 'n' turns, each of radius 'r' carries a current 'I'. The magnetic field at a distance $x = \sqrt{8}\ r$ from its centre along axis of the coil is $(\mu_0 =$ permeability of free space)

(A)

$\dfrac{\mu_0 nI}{54\ r}$

(B)

$\dfrac{\mu_0 nI}{27\ r}$

(C)

$\dfrac{\mu_0 nI}{64\ r}$

(D)

$\dfrac{\mu_0 nI}{36\ r}$

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Q2.

The magnitude of the magnetic induction (B) 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 given by $x \times 10^{-7}$ SI unit. The value of x is $(\mu_0 = 4\pi \times 10^{-7}$ SI unit$)$

(A)

$\dfrac{niA}{r^3}$

(B)

$\dfrac{2niA}{r^3}$

(C)

$\dfrac{2ni}{Ar^3}$

(D)

$\dfrac{nA}{ir^3}$

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