Solve.
-The power that a resistor must dissipate is jointly proportional to the square of the current flowing through the resistor and the resistance of the resistor. If a resistor needs to dissipate 108 watts of power when 6 amperes of
Current is flowing through the resistor whose resistance is 3 ohms, find the power that a resistor needs to
Dissipate when 3 amperes of current are flowing through a resistor whose resistance is 7 ohms.
A) 126 watts
B) 147 watts
C) 21 watts
D) 63 watts

Question

Quizplus · Accepted Answer

The power P is given by P = k * I^2 * R, where k is the constant of proportionality. First, find k using the given values: 108 = k * 6^2 * 3. Solving for k gives k = 1. Then, use this k to find the power for the new values: P = 1 * 3^2 * 7 = 63 watts.

Solve. -The Power That a Resistor Must Dissipate Is Jointly Proportional