In an ac circuit, V and I are given by V = 100 sin (100 t) volts, $I=100\mathrm{sin}\text{\hspace{0.17em}}\left(100t+\frac{\pi }{3}\right)\text{\hspace{0.17em}}mA$. The power dissipated in circuit is

(1) 104 watt

(2) 10 watt

(3) 2.5 watt

(4) 5 watt

Concept Questions :-

Rms and average values
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The resistance of a coil for dc is in ohms. In ac, the impedance:

(1) Will remain the same

(2) Will increase

(3) Will decrease

(4) Will be zero

Concept Questions :-

AC vs DC
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A generator produces a voltage that is given by V = 240 sin 120 t, where t is in seconds. The frequency and r.m.s. voltage are

(1) 60 Hz and 240 V

(2) 19 Hz and 120 V

(3) 19 Hz and 170 V

(4) 754 Hz and 70 V

Concept Questions :-

Rms and average values
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The peak value of an alternating e.m.f. E is given by $E={E}_{0}\mathrm{cos}\omega \text{\hspace{0.17em}}t$ is 10 volts and its frequency is 50 Hz. At time $t=\frac{1}{600}sec$, the instantaneous e.m.f. is

(1) 10 V

(2) $5\sqrt{3}\text{\hspace{0.17em}}V$

(3) 5 V

(4) 1 V

Concept Questions :-

Different types of AC Circuits
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If a current I given by ${I}_{0}\mathrm{sin}\text{\hspace{0.17em}}\left(\omega \text{\hspace{0.17em}}t-\frac{\pi }{2}\right)$ flows in an ac circuit across which an ac potential of $E={E}_{0}\mathrm{sin}\omega \text{\hspace{0.17em}}t$ has been applied, then the power consumption P in the circuit will be

(1) $P=\frac{{E}_{0}{I}_{0}}{\sqrt{2}}$

(2) $P=\sqrt{2}{E}_{0}{I}_{0}$

(3) $P=\frac{{E}_{0}{I}_{0}}{2}$

(4) P = 0

Concept Questions :-

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 $i=\mathrm{sin}\text{\hspace{0.17em}}\left(314t+\frac{\pi }{3}\right)$ 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 $i={i}_{1}\mathrm{cos}\omega \text{\hspace{0.17em}}t+{i}_{2}\mathrm{sin}\omega \text{\hspace{0.17em}}t$. The r.m.s. current is given by

(1) $\frac{1}{\sqrt{2}}\left({i}_{1}+{i}_{2}\right)$

(2) $\frac{1}{\sqrt{2}}{\left({i}_{i}+{i}_{2}\right)}^{2}$

(3) $\frac{1}{\sqrt{2}}{\left({i}_{1}^{2}+{i}_{2}^{2}\right)}^{1/2}$

(4) $\frac{1}{2}{\left({i}_{1}^{2}+{i}_{2}^{2}\right)}^{1/2}$

Concept Questions :-

Rms and average values
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In an ac circuit, the current is given by $i=5\mathrm{sin}\text{\hspace{0.17em}}\left(100\text{\hspace{0.17em}}t-\frac{\pi }{2}\right)$ 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 $V=220\mathrm{sin}\left(100\pi t\right)$. 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 $V=5\mathrm{sin}\text{\hspace{0.17em}}\left(100\pi t-\frac{\pi }{6}\right)$ and $I=4\mathrm{sin}\text{\hspace{0.17em}}\left(100\pi t+\frac{\pi }{6}\right)$

(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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Difficulty Level: