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phasor

GATE Electrical Engineering · AC Circuits - Power Factor · 1997-2025

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2025 Q1

A device (single-phase, 50 Hz, AC) yields the following measurements at its terminals: voltage = 141.4 ∠ -10° V, current = 0.7 ∠ -55° A. The power factor of the device is ________...

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2019 Q43

The voltage across and the current through a load are expressed as follows v(t) = -170 sin (377t - $\frac{\pi}{6}$) V i(t) = 8 cos (377t + $\frac{\pi}{6}$) A The average power in w...

medium
2018 Q48

The voltage across the circuit in the figure, and the current through it, are given by the following expressions: v(t) = 5 - 10 cos(wt + 60°) V i(t) = 5 + X cos(wt) A where w = 100...

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2018 Q55

The voltage v(t) across the terminals a and b as shown in the figure, is a sinusoidal voltage having a frequency ω = 100 radian/s. When the inductor current i(t) is in phase with t...

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2011 PYQ

The voltage applied to a circuit is $$100\sqrt2\cos\left(100\mathrm{πt}\right)$$ volts and the circuit draws a current of $$10\sqrt2\;\sin\left(100\mathrm{πt}+\mathrm\pi/4\right)$$...

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2001 PYQ

In a series $$RLC$$ circuit at resonance, the magnitude of the voltage developed across the capacitor

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1999 PYQ

The voltage phasor of a circuit is $$10\angle {15^0}\,V$$ and the current phasor is $$2\,\,\angle - {45^0}A.$$ The active and the reactive powers in the circuit are

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1998 PYQ

A sinusoidal source of voltage $$V$$ and frequency $$f$$ is connected to a series circuit of variables resistance, $$R$$ and a fixed reactance, $$X.$$ The locus of the tip of the c...

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1997 PYQ

A voltage $$V=400$$ sin $$314.16t$$ is applied to a $$1$$-phase transformer on no-load. If the no load current of the transformer is $$2\sin \left( {314.16t - {{85}^0}} \right),\,\...

easyanswer key