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A self-induced emf in a solenoid of inductance L changes in time as ϵ=ϵ0e-Kt. Assuming the charge is finite, find the total charge that passes a point in the wire of the solenoid.

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Important Questions on Electromagnetic Induction and Alternating Currents

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Physics
IMPORTANT
A transformer with efficiency 80% works at 4 kW and 100 V. If the secondary voltage is 200 V, then the primary and secondary currents are respectively
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Physics
IMPORTANT
Two coils have a mutual inductance 0.005 H. The current changes in the first coil according to equation I=I0sinωt, where I0=10 A and ω=100π rad s-1. The maximum value of emf in the second coil is
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Physics
IMPORTANT
In the adjacent circuit, the instantaneous current equation is

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Physics
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How many meters of thin wire is required to design a solenoid of length 1 m and L=1 mH? Assuming that the cross-sectional diameter is very small.

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Physics
IMPORTANT
The output voltage (taken across the resistance) of a LCR series resonant circuit falls to half its peak value at a frequency of 200 Hz and again reaches the same value at 800 Hz. The bandwidth of this circuit is:
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Physics
IMPORTANT
The value of current in two series LCR circuits at resonance is the same when connected across a sinusoidal voltage source, then:
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Physics
IMPORTANT
An LCR series circuit with 100 Ω resistance is connected to an AC source of 200 V and angular frequency 300 radians per second. When only the capacitance is removed, the current lags behind the voltage by 60°. When only the inductance is removed, the current leads the voltage by 60°. Then, the current and power dissipated in LCR circuit are, respectively
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Physics
IMPORTANT
At a frequency ω0, the reactance of a capacitor is equal to that of an inductor. If the frequency is changed to 2ω0, then the ratio of reactance of the inductor to that of the capacitor is