If in a series L-C-R AC circuit, the voltages across L, C and R are V1, V2 and V3 respectively, then the voltage of the source is always:

Correct answer: D. none of these

  • A. Equal to V1 + V2 + V3
  • B. Equal to V1 - V2 + V3
  • C. More than V1 + V2 + V3
  • D. none of these

Explanation

In a series L-C-R AC circuit, the voltages across the inductor (L), capacitor (C), and resistor (R) have phase differences due to their reactive nature. The voltage across the inductor leads the current by 90 degrees, the voltage across the capacitor lags the current by 90 degrees, and the voltage across the resistor is in phase with the current. Therefore, the source voltage is not just the arithmetic sum of V1, V2, and V3 because of the phase differences. Instead, it is calculated using vector addition (phasor sum). The correct option is 'none of these' because the simple addition or subtraction of voltages without accounting for phase is incorrect. The incorrect options fail to consider these phase differences.

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About Alternating Current

Alternating current varies periodically, so phase relationships become essential when current passes through a resistor, capacitor or inductor. The chapter distinguishes resistance from capacitive and inductive reactance, explains phase lead and lag, and connects changing electric and magnetic fields with the production and properties of electromagnetic waves.

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