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question_answer1) The current through a wire changes with time according to the equation \[I=\sqrt{t}\].The correct value of the rms (in amp) current within the time interval \[t=2\]to\[t=4s\]will be?
question_answer2) In a circuit an A.C. current and a D.C. current are supplied together. The expression of the instantaneous current is given as\[i=3+6\sin \omega t\].Then the rms value of the current (in amp) is?
question_answer3) The series combination of resistance R and inductance L is connected to an alternating source of e.m.f.\[e=311sin\text{ }(100\pi t)\]). If the peak value of wattless current is 0.5A and the impedance of the circuit is\[311\Omega \], find the power factor.
question_answer4) The inductance of the motor of a fan is 1.0 H. To run the fan at 50 Hz find the capacitance of the capacitor (in\[\mu F\]) that will cancel its inductive reactance.
question_answer5) A direct current of 2 A and an alternating current having a maximum value of 2 A flow through two identical resistances. The ratio of heat produced in the two resistances will be?
question_answer6) In an LCR series a.c. circuit, the voltage across each of the components, L, C and R is 50 V. The voltage across the LC combination will be?
question_answer7) The time (in ms) required for a 50Hz alternating current to increase from zero to 70.7% of its peak value is?
question_answer8) The current in an LCR circuit is given by\[I=20sin(100\pi t+\pi /3)A.\]. The voltage across the inductance L of \[0.1\text{ }H\]at \[t=0\]will be (in volt)
question_answer9) A choke coil of 100 ohm and 1 H is connected to a generator of\[E=200sin\text{ (}100t\text{) }volt\]. The average power dissipated will be?
question_answer10) The self inductance of a choke coil is 10mH. When it is connected with a 10V D.C. source, then the loss of power is 20 watt. When it is connected with 10 volt A.C. source loss of power is 10 watt. The frequency of A.C. source will be (in Hz)
question_answer11) A coil when connected to a dc source of 12 V, carries a current of 4 A. If this coil is connected to an ac source of 12 V and 50 rad/s, then it carries a current of 2.4 A. The inductance of the coil is (in Henry).
question_answer12) Find the time (in ms) required for a 50 Hz alternating current to change its value from zero to the rms value.
question_answer13) A parallel-plate air-capacitor has area\[20c{{m}^{2}}\]and plate separation 0.10 mm. Find the maximum rms voltage (in volt) of an AC source which can be safely connected to this capacitor. Max electric field till capacitor will not break down is \[E=3\times {{10}^{6}}V/m\]
question_answer14) A bulb rated 60 W at 220 V is connected across a household supply of alternating voltage of 220 V. Calculate the maximum instantaneous current (in amp) through the filament.
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