JEE Main202431 Jan 2024Evening ShiftPhysicsMagnetic Effects of CurrentActual
Two circular coils P and Q of 100 turns each have same radius of π cm . The currents in P and R are 1 A and 2 A respectively. P and Q are placed with their planes mutually perpendicular with their centers coincide. The resultant magnetic field induction at the center of the coils is x mT , where x = ______. [Use μ 0 = 4 π × 10 − 7 T m A − 1 ]
Correct answer
0
Step-by-step solution
Consider two coils as shown below: Magnetic field due to P, B P = N μ 0 i 1 2 r = 100 × μ 0 × 1 2 π × 10 - 2 = 2 × 10 − 3 T Magnetic field due to Q, B Q = N μ 0 i 2 2 r = 100 × μ 0 × 2 2 π × 10 - 2 = 4 × 10 − 3 T Therefore, B net = B P 2 + B Q 2 = 20 mT Hence, x = 20