Coil A is a large 900 turn circular coil of radius 46 cm. Circular coil B has 10 turns, a radius of 4 cm and is located L=42 cm from coil A along the same axis. The planes of the two coils are parallel. If the current in coil A varies with time according to I=12t3−20t2−1, where I is in amps and t is in s, find the magnitude of the EMF induced in coil B at time t=6 s. Select all the statements that are true. Select "None of the above" if none of them are true.
Coil A is a large 900 turn circular coil of radius 46 cm. Circular coil B has 10 turns, a radius of 4 cm and is located L=42 cm from coil A along the same axis. The planes of the two coils are parallel. If the current in coil A varies with time according to I=12t3−20t2−1, where I is in amps and t is in s, find the magnitude of the EMF induced in coil B at time t=6 s.
Select all the statements that are true. Select "None of the above" if none of them are true.
A. If we increase the distance between the coils, the mutual inductance will decrease.
B. If the permittivity of the region where the coils are located is increased, the mutual inductance increases proportionately. Note that 'permittivity' refers to ϵ or ϵ0.
C. If the current is increased, the mutual inductance increases.
D. In the first part, if we had calculated the field due to coil B in the region of coil A, rather than the other way around, we would have found no difference in the calculated mutual inductance.
E. If we rotated one of the coils by 90 degrees relative to the other, the mutual inductance of the system would change.
F. If we increase the number of loops in the coils, the mutual inductance will increase.
G. None of the above.
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