The two coils A and B wound coaxially on an insulating cylinder. It will be evident that the

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The two coils A and B wound coaxially on an insulating cylinder. It will be evident that the
fluxes produced by a current i through the two coils are in the same direction, and the coils
are said to be cumulatively coupled. If the direction of the current in B relative to that in A is
reverse, then coils are said to be differential coupling. Suppose A and B to have self-
inductances LA and -B henrys respectively and a mutual inductance M henrys. If two coils
are connected in series, their effective inductance is found to be 12.0H. However, when the
connections to one coil are reversed, the effective inductance is 8.0 H. If the coefficient of
coupling is 0.6.
a) Show that the total inductance of inductively coupled circuits is LA + LB + 2M
b) Calculate the self-inductance of each coil and the mutual inductance.
Transcribed Image Text:The two coils A and B wound coaxially on an insulating cylinder. It will be evident that the fluxes produced by a current i through the two coils are in the same direction, and the coils are said to be cumulatively coupled. If the direction of the current in B relative to that in A is reverse, then coils are said to be differential coupling. Suppose A and B to have self- inductances LA and -B henrys respectively and a mutual inductance M henrys. If two coils are connected in series, their effective inductance is found to be 12.0H. However, when the connections to one coil are reversed, the effective inductance is 8.0 H. If the coefficient of coupling is 0.6. a) Show that the total inductance of inductively coupled circuits is LA + LB + 2M b) Calculate the self-inductance of each coil and the mutual inductance.
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