The voltage applied to a circuit is 100\sqrt{2}\cos \text{⁡ (100 \pi} t) volts and the circuit draws a current of 10\sqrt{2} \sin ⁡ (100\pi t + \pi \/ 4) amperes. Taking the voltage as the reference phasor, the phasor representation of the current in amperes is

Correct Answer is : 10∠−π∕4

GATE Electrical Engineering (EE) 2011 Solved Paper

Question : 25 of 65

Marks: +1, -0

The voltage applied to a circuit is

100{√{2}}\cos \text"⁡ (100 π" t)

volts and the circuit draws a current of

10{√{2}} sin \;⁡ (100π t + π \/ 4)

amperes. Taking the voltage as the reference phasor, the phasor representation of the current in amperes is

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