MHT CET202314 May 2023Morning ShiftPhysicsMagnetic Effects of CurrentActual
A solenoid of length 0.4 ~m and having 500 turns of wire carries a current 3 ~A . A thin coil having 10 turns of wire and radius 0.1 ~m carries current 0.4 ~A . the torque required to hold the coil in the middle of the solenoid with its axis perpendicular to the axis of the solenoid is ( ₀=4 10⁻⁷ . SI units, . ^2=10 ) ( 90^ =1 )
Options
- A3 10⁻⁴ Nm
- B12 10⁻⁴ Nm
- C6 10⁻⁴ Nm
- D24 10⁻⁴ Nm
Correct answer
C. 6 10⁻⁴ Nm
Step-by-step solution
The equation for torque is given by: = NIAB As axis of coil and solenoid are perpendicular to each other, =90^ and =1 aligned & = ₀ nI ₁ NIA & =4 10⁻⁷ 500 0.4 3 10 0.4 10⁻² & =6 10⁻⁴ Nm aligned [Note: The answer of the question is not mentioned as an option.]