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question_answer1) A series AC circuit containing an inductor (20 mH), a capacitor \[(120\mu F)\] and a resistor \[\left( 60\text{ }\Omega \right)\] is driven by an AC source of 24 V/50 Hz. The energy (in joule) dissipated in the circuit in 60 s is:
question_answer2) A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having 4000 turns. The output power is delivered at 230 V by the transformer. If the current in the primary of the transformer is 5A and its efficiency is 90%, the output current (in ampere) would be:
question_answer3) An alternating voltage v(t) = 220 sin \[100\pi t\] volt is applied to a purely resistive load of \[50\Omega \]. The time taken (in ms) for the current to rise from half of the peak value to the peak value is :
question_answer4) An inductor of inductance 100 mH is connected in series with a resistance, a variable capacitance and an AC source of frequency 2.0 kHz. What should be the value of the capacitance (in farad) so that maximum current maybe drawn into the circuit?
question_answer5) A 60 Hz AC voltage of 160 V impressed across an LR - circuit results in a current of 2 A. If the power dissipation is 200 W, calculate the maximum value of the back emf (in volt) arising in the inductance.
question_answer6) A 100 V AC source of frequency 500 Hz is connected to LCR circuit with \[L=8.1mH,\] \[C=12.5\mu F\,\,\,and\,R=\,10\Omega \], all connected in series. Find the potential (in volt) across the resistance.
question_answer7) A coil has a resistance of \[10\Omega \] and an inductance of 0.4 henry. It is connected to an AC source of \[6.5V,\frac{30}{\pi }Hz\]. Find the average power (in watt) consumed in the circuit.
question_answer8) A circuit has a resistance of 12 ohm and an impedance of 15 ohm. The power factor of the circuit will be
question_answer9) An AC generator of 220 V having internal resistance \[r=10\Omega \] and external resistance\[R=100\Omega \]. What is the power (in watt) developed in the external circuit?
question_answer10) If \[{{i}_{1}}=3\sin \omega t,\,\,\,{{i}_{2}}=4\cos \omega t,\,\,\]and \[\,\,{{i}_{3}}={{i}_{0}}\sin (\omega t+53{}^\circ )\], find the value of \[{{i}_{0}}\].
question_answer11) Given LCR circuit has \[L=5H,C=80\mu F,\] \[R=40\Omega \] and variable frequency source of 200 V. The source frequency (in Hz) which drives the circuit at resonance is \[\frac{x}{\pi }.\] Find the value of x.
question_answer12) An LCR series circuit with \[100\Omega \] resistance is connected to an AC source of 200 V and angular frequency 300 rad/s. When only the capacitance is removed, the current lags behind the voltage by \[60{}^\circ \]. When only the inductance is removed, the current leads the voltage by \[60{}^\circ \]. Calculate the current (in ampere) in the LCR circuit.
question_answer13) A current of 4 A flows in a coil when connected to a 12 V DC source. If the same coil is connected to a 12 V, 50 rad/s AC source, a current of 2.4 A flows in the circuit. Determine the inductance (in henry) of the coil.
question_answer14) A capacitor of capacitance \[12.0\mu F\] is joined to an AC source of frequency 200 Hz. The rms current in the circuit is 2.00 A. Find the rms voltage (in volt) across the capacitor.
question_answer15) A LCR circuit has and \[L=10mH,R=3\Omega ,\] and \[C=1\mu F\]connected in series to a source of \[15\,\,cos\,\,\omega \,t\] volt. Calculate the current amplitude (in ampere) at a frequency that is 10% lower than the resonant frequency.
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