What is the relationship between current (I) and voltage (E) in a circuit consisting of a capacitor in series with a resistor?

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IPRC (ISRO) Technician B (Electronic Mechanic): Previous Year Paper (Held on 10 Dec 2016)
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  1. I and E are in phase across the capacitor
  2. I leads E across the resistor
  3. E leads I across the capacitor
  4. I and E are in phase across the resistor

Answer (Detailed Solution Below)

Option 4 : I and E are in phase across the resistor
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Detailed Solution

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 Key Points

  • In a pure resistive circuit, the current is in phase with the voltage. Hence the power factor is unity
  • In a pure capacitive circuit, current leads the voltage by 90°. Hence the power factor is zero leading
  • In a circuit consists of a resistor and a capacitor, the current lead the voltage by an angle less than 90° and it is leading.
  • Since V = IR across the resistor, and the imaginary part of resistance is zero across a resistor, the voltage and the current will be in phase across the resistor.
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