Two identical coils, each of radius R and number of turns N are lying in perpendicular - Physics - Moving Charges And Magnetism

Question

Two identical coils, each of radius ‘R’ and
number of turns ‘N’ are lying in perpendicular planes
such that their centres coincide Find the magnitude and direction
of the resultant magnetic field at the centre of the coils,if they
are carrying currents ‘I’ and I/root 3'
respectively

Dinesh Pandey · Accepted Answer

Dear Student,

Let B1 and B2 be the magnetic fields due to two coils with current
I and I3 resp
B1=μo4π×2πNIR=μoNI2RB2=μo4π×2πNIR3=μoNI23RThe
magnetic field will be perpendicular to each
other,B=B12+B22B=μoNI2R2+μoNI23R2B=μoNI2R1+13B=μoNI2R43B=μoNI3R

Two identical coils, each of radius ‘R’ and number of turns ‘N’ are lying in perpendicular planes such that their centres coincide. Find the magnitude and direction of the resultant magnetic field at the centre of the coils,if they are carrying currents ‘I’ and I/root 3' respectively.

Two identical coils, each of radius ‘R’ and
number of turns ‘N’ are lying in perpendicular planes such that their centres coincide. Find the magnitude and direction of the resultant magnetic field at the centre of the coils,if they are carrying currents ‘I’ and I/root 3' respectively.