L-R circuit and mutual inductance

Mutual Induction

Mutual Induction

An oscillating circuit consists of two coils connected in series whose inductances are L_(1) and L_(2) active resistances are R_(1) and R_(2) , and mutual inductance is negligible. These coils are to be replaced by one, keeping the frequency and the quality factor of the circuit constant. Find the inductance and the active resistance of such a coil.

If the current in a primary circuit is I=I_(0) Sin omegat and the mutual inductance is M, then the value of induced voltage in secondary circuit will be :-

Self induction and Mutual induction

An oscillating circuit consists of a capacitor of capacitance C and a solenoid with inductance L_(1) . The solenoid is inductively connected with a short - circuited coil having an inductance L_(2) and a negligible active resistance. Their mutual inductance coefficient is eqaul to L_(12) . Find the natural frequency of the given oscillating ciruit.

Two electric circuits are placed near one another. Each circuit has self inductance Must there be a mutual inductance.

A long straight wire is placed along the axis of a circuit ring of radius R. The mutual inductance of this system is