Moderate

If 1/2 = 50 sin Irms ?

Correct answer: C. 70.7

  • A. 100
  • B. 0.707
  • C. 70.7
  • D. 50

Explanation

In alternating current (AC) circuits, the RMS (Root Mean Square) value is a measure of the effective value of the AC current or voltage. For a sinusoidal waveform, the RMS value is equal to the peak value divided by the square root of 2 (approximately 0.707). Given that the peak current (Ipeak) is 50, the RMS current (Irms) is calculated as Irms = Ipeak × 0.707. Therefore, the correct answer is 70.7. Option A is incorrect as it represents a simple doubling of the peak value. Option B is incorrect as it refers to the conversion factor, not the actual RMS value. Option D is incorrect as it represents the peak value rather than the RMS value.

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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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