JEE PYQ: Magnetic Effects Of Current Question 14
Question 14 - 2020 (03 Sep 2020 Shift 1)
Magnitude of magnetic field (in SI units) at the centre of a hexagonal shape coil of side $10$ cm, $50$ turns and carrying current $I$ (Ampere) in units of $\frac{\mu_0 I}{\pi}$ is:
(1) $250\sqrt{3}$
(2) $50\sqrt{3}$
(3) $500\sqrt{3}$
(4) $5\sqrt{3}$
Show Answer
Answer: (3) $500\sqrt{3}$
Solution
$B = 50 \times 6 \times \frac{\mu_0 I}{2\sqrt{3}a\pi} = \frac{150\mu_0 I}{\sqrt{3} \times 0.1 \times \pi} = 500\sqrt{3} \frac{\mu_0 I}{\pi}$.
BETA
