Two concentric coils each of radius equal to 4 π cm are placed at right angles to each other. If 10…

Two concentric coils each of radius equal to 4πcm 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
  1. 13×10-5 Wb m-2
  2. 12×10-5 Wb m-2
  3. 7×10-5 Wb m-2
  4. 5×10-5 Wb m-2

Solution

Magnetic field due to the coil, B1=μ0i2r

⇒B1=μ0×1024π×10-2=μ0×10×1028π

⇒B1=10×10-52=5×10-5 T

similarly, ⇒B2=24×10-52=12×10-5 T

⇒B=B12+B22=13×10-5 wb m-2

Asked in: AP EAMCET 2021 (20 Aug Shift 2)

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