Question

A rectangular loop carrying a current \( i \) is placed in a uniform magnetic field \( B \). The area enclosed by the loop is \( A \). If there are \( n \) turns in the loop, the torque acting on the loop is given by:

• A. \( n i A B \)
• B. \( i A \times B \)
• C. \( n i B A \)
• D. \( i A \times B \)

Hint:

The torque on a current loop in a magnetic field is proportional to the number of turns, the current, the area, and the magnetic field.

Answer 1

The Correct Option is A

Step 1: Formula for torque.
The torque \( \tau \) on a current-carrying loop in a magnetic field is given by: \[ \tau = n i A B \sin \theta \] where \( n \) is the number of turns, \( i \) is the current, \( A \) is the area of the loop, and \( B \) is the magnetic field strength.
Step 2: Explanation.
The torque depends on the number of turns, current, area of the loop, and the magnetic field.
Final Answer: \[ \boxed{n i A B} \]