Two concentric coils each of radius equal to 4 π cm are placed at right angles to each other. If 10 A and 24 A are the currents flowing through the coils, respectively, the magnetic induction at the center of the coils will be

Step-by-step solution

Magnetic field due to the coil, B 1 = μ 0 i 2 r ⇒ B 1 = μ 0 × 10 2 4 π × 10 - 2 = μ 0 × 10 × 10 2 8 π ⇒ B 1 = 10 × 10 - 5 2 = 5 × 10 - 5   T similarly, ⇒ B 2 = 24 × 10 - 5 2 = 12 × 10 - 5   T ⇒ B = B 1 2 + B 2 2 = 13 × 10 - 5   wb   m - 2