Consider two co-planar, co-axial circular coils A and B as shown in figure. The radius of coil A is 10 cm while that of coil B is 1cm. The number of turns in coils A and B are 100 and 500 respectively. Calculate the mutual inductance_________x10^-4H between the coils when the current in coil A changes from 4 A to 8 A in 0.04 s.
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Answer:
given I=10A
t=0.5A
ϕ=500wb/turn
N=200
total flux =500×200
=10
5
wb
mutual inductance =r
2
induced emf e=?
Q=MI
m=
I
Q
=
10
10
5
m=10
4
H
e=
dt
mdI
=
0.5
10
5
×10
e=2×10
6
V
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