Two coplanar and concentric coils 1 and 2 have respectively the number of turnsN_{1} and N_{2} and radii r_{1} and r_{2} (r_2 >> r_1 ). Deduce the expression for mutual inductance of this system.

 

 
 
 
 
 

Answers (1)
S safeer

magnetic field due to coil with radius r2
B_{2}= \frac{\mu_{0}N_2I_{2}}{2r_{2}}
Magnetic flux linked with coil c1
\phi _{12}= B_{2}\pi r_{1}^{2}N_1= N_1N_2\frac{\mu_{0}I_{2}}{2r_{2}}\times \pi r_{1}^{2}---(i)
if M is the mutual inductance of two coils
\phi _{12}=MI_{2}---(2)
from (1) & (2)
M= \frac{\mu_{0}\pi r_{1}^{2}N_1N_2}{2r_{2}}

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