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JEE PYQ: Magnetic Effects Of Current Question 34

Question 34 - 2019 (09 Apr 2019 Shift 1)

A rectangular coil (Dimension $5$ cm $\times$ $2.5$ cm) with $100$ turns, carrying a current of $3$ A in the clock-wise direction, is kept centered at the origin and in the X-Z plane. A magnetic field of $1$ T is applied along X-axis. If the coil is tilted through $45°$ about Z-axis, then the torque on the coil is:

(1) $0.38$ Nm

(2) $0.55$ Nm

(3) $0.42$ Nm

(4) $0.27$ Nm

Show Answer

Answer: (4) $0.27$ Nm

Solution

$\tau = NIA B\sin 45° = 100 \times 3 \times (5 \times 2.5) \times 10^{-4} \times 1 \times \frac{1}{\sqrt{2}} = 0.27$ Nm.


Learning Progress: Step 34 of 52 in this series