Answer to Question #291600 in Electricity and Magnetism for TURANA

Question

6. Two circular coil turns are so arranged in two mutually perpendicular planes that the centres of the turns coincide. The radius of each coil is 2 sm and the currents flowing through the turns I1= I2 =5 A. Find the intensity of the magnetic field at the centre of these turns.

Answer 1

Answer

Current in coil I₁=I₂=5A

Radius of each coil R=2cm

Magnetic field due to first coil

$B'=\frac{\mu_0 I_1}{2R}$

Due to second coil

$B''=\frac{\mu_0 I_1}{2R}$

Therefore magnitude of magnetic field at centre

$B=\sqrt{B'^2+B''^2}\\=\frac{\mu_0I}{\sqrt{2}R}$

Putting all values

$B=\frac{4\times3.14\times100^{-7}\times5}{1.414\times0.02}$

B=0.02T