A rectangular coil of sides 2 cm and 5 cm having 2000 turns and carrying a current of 200 mA is placed in a uniform magnetic field of 5.0 T directed along positive X-axis. The maximum torque experienced by the coil is
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 2 N m
Given:
Length $l = 5$ cm = 0.05 m
Width $w = 2$ cm = 0.02 m
Number of turns $N = 2000$
Current $I = 200$ mA = 0.2 A
Magnetic field $B = 5$ T
Area of one turn: $A = l \times w = 0.05 \times 0.02 = 0.001$ m²
Maximum torque: $\tau_\text{max} = N I A B$
$\tau_\text{max} = 2000 \times 0.2 \times 0.001 \times 5$
$\tau_\text{max} = 2$ N·m
Answer: $\tau_\text{max} = 2$ N·m