Asked in ETEA MDCAT 2013 2013

An alternating current '1/A' varies with time 't/s' according to the equation I = 5sin(100πt). What is the mean power developed by the current in a resistive load of resistance 10?

Correct answer: A. 125W

  • A. 125W
  • B. 160W
  • C. 250W
  • D. 500W

Explanation

To find the mean power developed by the current in the resistive load, we first calculate the peak value of the current, which is 3.53. With a resistance of 10Ω, the power is determined using P = I²R = (3.53)²(10) = 125 W. The correct answer is 125W. The other options are incorrect because they do not accurately reflect the power calculated based on the values provided in the question.

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About AC Through Resistor, Capacitor and Inductor

Alternating current through a resistor, capacitor and inductor involves phase relationships between voltage and current, reactance, impedance and energy transfer. A resistor keeps voltage and current in phase, while a capacitor and inductor produce opposite phase shifts, a distinction used in circuit diagrams and numerical calculations.

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