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A self-induced emf in a solenoid of inductance changes in time as . Assuming the charge is finite, find the total charge that passes a point in the wire of the solenoid.
(a)
(b)
(c)
(d)

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Important Questions on Electromagnetic Induction and Alternating Currents
HARD
Physics
IMPORTANT
A transformer with efficiency works at and . If the secondary voltage is then the primary and secondary currents are respectively

HARD
Physics
IMPORTANT
Two coils have a mutual inductance The current changes in the first coil according to equation where and The maximum value of emf in the second coil is

HARD
Physics
IMPORTANT
In the adjacent circuit, the instantaneous current equation is


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Physics
IMPORTANT
How many meters of thin wire is required to design a solenoid of length and ? Assuming that the cross-sectional diameter is very small.

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Physics
IMPORTANT
The output voltage (taken across the resistance) of a series resonant circuit falls to half its peak value at a frequency of and again reaches the same value at The bandwidth of this circuit is:

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Physics
IMPORTANT
The value of current in two series circuits at resonance is the same when connected across a sinusoidal voltage source, then:

HARD
Physics
IMPORTANT
An series circuit with resistance is connected to an source of and angular frequency . When only the capacitance is removed, the current lags behind the voltage by . When only the inductance is removed, the current leads the voltage by . Then, the current and power dissipated in circuit are, respectively

HARD
Physics
IMPORTANT
At a frequency , the reactance of a capacitor is equal to that of an inductor. If the frequency is changed to , then the ratio of reactance of the inductor to that of the capacitor is
