The maximum power dissipated by a 100\(\Omega\) resistor in a circuit is 4W. Calculate the voltage across the resistor
Question 1 Report
The maximum power dissipated by a 100\(\Omega\) resistor in a circuit is 4W. Calculate the voltage across the resistor
Answer Details
The maximum power dissipated by a resistor in a circuit occurs when the resistor is operating at its maximum voltage. The power dissipated by a resistor can be calculated as:
P = V^2 / R
where P is the power in watts, V is the voltage across the resistor in volts, and R is the resistance in ohms.
In this case, the power is given as 4W and the resistance is 100Ω, so we can rearrange the formula to solve for V:
V^2 = P * R
V = sqrt(P * R)
Substituting the values given, we get:
V = sqrt(4W * 100Ω) = sqrt(400V^2) = 20V
Therefore, the voltage across the resistor is 20V.
Answer: 20V
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