The peak value of an alternating e.m.f. E is given by E=E0cosωt is 10 volts and its frequency is 50 Hz. At time t=1600sec, the instantaneous e.m.f. is

(1) 10 V

(2) 53V

(3) 5 V

(4) 1 V

Concept Questions :-

Different types of AC Circuits
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If a current I given by I0sinωtπ2 flows in an ac circuit across which an ac potential of E=E0sinωt has been applied, then the power consumption P in the circuit will be 

(1) P=E0I02

(2) P=2E0I0

(3) P=E0I02

(4) P = 0

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Different types of AC Circuits
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In an ac circuit, the instantaneous values of e.m.f. and current are e = 200 sin 314 t volt and i=sin314t+π3 ampere. The average power consumed in watt is 

(1) 200

(2) 100

(3) 50

(4) 25

Concept Questions :-

Rms and average values
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An alternating current is given by the equation i=i1cosωt+i2sinωt. The r.m.s. current is given by

(1) 12(i1+i2)

(2) 12(ii+i2)2

(3) 12(i12+i22)1/2

(4) 12(i12+i22)1/2

Concept Questions :-

Rms and average values
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In an ac circuit, the current is given by i=5sin100tπ2 and the ac potential is V = 200 sin(100t) volt. Then the power consumption is :

(1) 20 watts

(2) 40 watts

(3) 1000 watts

(4) 0 watt

Concept Questions :-

Different types of AC Circuits
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A resistance of 20 ohms is connected to a source of an alternating potential V=220sin(100πt). The time taken by the current to change from its peak value to r.m.s value is 

(1) 0.2 sec

(2) 0.25 sec

(3) 25 × 10–3 sec

(4) 2.5 × 10–3 sec

Concept Questions :-

Different types of AC Circuits
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Voltage and current in an ac circuit are given by V=5sin100πtπ6 and I=4sin100πt+π6 

(1) Voltage leads the current by 30°

(2) Current leads the voltage by 30°

(3) Current leads the voltage by 60°

(4) Voltage leads the current by 60°

Concept Questions :-

Different types of AC Circuits
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An alternating current of frequency ‘f’ is flowing in a circuit containing a resistance R and a choke L in series. The impedance of this circuit is 

(1) R + 2πfL

(2) R2+4π2f2L2

(3) R2+L2

(4) R2+2πfL

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Different types of AC Circuits
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A resistance of 300 Ω and an inductance of 1π henry are connected in series to a ac voltage of 20 volts and 200 Hz frequency. The phase angle between the voltage and current is :

(1) tan143

(2) tan134

(3) tan132

(4) tan125

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Different types of AC Circuits
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In a region of uniform magnetic induction B = 10–2 tesla, a circular coil of radius 30 cm and resistance π2 ohm is rotated about an axis that is perpendicular to the direction of B and which forms a diameter of the coil. If the coil rotates at 200 rpm the amplitude of the alternating current induced in the coil is :

(1) 4π2 mA

(2) 30 mA

(3) 6 mA

(4) 200 mA

Concept Questions :-

Different types of AC Circuits
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