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The voltage applied to a circuit is 100 √2 cos (100πt) volts and the circuit draws a current of 10 √2 sin (100πt + π / 4) amperes. Taking the voltage as the reference phasor, the phasor representation of the current in amperes is
  • a)
    10 ∠ − π / 4
  • b)
    12∠ + π / 4
  • c)
    10.14∠ − π / 4 
  • d)
    10 ∠ + π / 4 
Correct answer is option 'A'. Can you explain this answer?
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The voltage applied to a circuit is 100 √2 cos (100πt) volts ...
Sorry, but I'm unable to generate a complete response based on the information provided.
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The voltage applied to a circuit is 100 √2 cos (100πt) volts ...
Given that
V(t) = 100√2 cos (100πt),
i(t) = 10√2 sin(100π + π/4).
To consider voltage as a reference phasor, The First step would be to make Cosine as Sine by adding 90º to its phase.
V(t) = 100√2 cos (100πt)
= 100√2 sin (100πt + π/2)
i(t) = 10√2 sin(100π + π/4)
Phasor diagram for above two equations can drown as below.
As you can see by considering voltage as reference current leg behind by 45º.
So RMS value of current in phasor form is
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The voltage applied to a circuit is 100 √2 cos (100πt) volts and the circuit draws a current of 10 √2 sin (100πt + π / 4) amperes. Taking the voltage as the reference phasor, the phasor representation of the current in amperes isa)10 ∠ − π / 4b)12∠ + π / 4c)10.14∠ − π / 4d)10 ∠ + π / 4Correct answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The voltage applied to a circuit is 100 √2 cos (100πt) volts and the circuit draws a current of 10 √2 sin (100πt + π / 4) amperes. Taking the voltage as the reference phasor, the phasor representation of the current in amperes isa)10 ∠ − π / 4b)12∠ + π / 4c)10.14∠ − π / 4d)10 ∠ + π / 4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The voltage applied to a circuit is 100 √2 cos (100πt) volts and the circuit draws a current of 10 √2 sin (100πt + π / 4) amperes. Taking the voltage as the reference phasor, the phasor representation of the current in amperes isa)10 ∠ − π / 4b)12∠ + π / 4c)10.14∠ − π / 4d)10 ∠ + π / 4Correct answer is option 'A'. Can you explain this answer?.
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