If the voltage connected across a resistor is decreased by 50%, then the power dissipated across it willOnly one correct answerA.Reduced to 25%B.Reduced to 50%C.Reduced to 75%D.Reduced to 80%
Question
If the voltage connected across a resistor is decreased by 50%, then the power dissipated across it willOnly one correct answerA.Reduced to 25%B.Reduced to 50%C.Reduced to 75%D.Reduced to 80%
Solution
The power dissipated across a resistor is given by the formula P = V^2/R, where P is power, V is voltage, and R is resistance.
If the voltage (V) is decreased by 50%, then the new voltage is 0.5V.
Substituting this into the power formula gives P = (0.5V)^2/R = 0.25V^2/R.
This is 25% of the original power (since 0.25 = 25/100), so the power is reduced to 25% of its original value.
So, the correct answer is A. Reduced to 25%.
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