Determine the constant of variation for the stated condition.
-The voltage across a resistor is jointly proportional to the resistance of the resistor and the current flowing through the resistor. If the voltage across a resistor is 32 volts for a resistor whose resistance is 4 ohms and when the current flowing through the resistor is 8 amperes, find the voltage across a resistor whose resistance is 2 ohms and when the current flowing through the resistor is 7 amperes.
A) 14 volts
B) 28 volts
C) 56 volts
D) 16 volts

Question

Quizplus · Accepted Answer

The constant of variation (k) can be found using the formula V = IR, where V is voltage, I is current, and R is resistance. For the first scenario, V = 32 volts, I = 8 amperes, and R = 4 ohms. Thus, k = V/(IR) = 32/(8*4) = 1. For the second scenario, with R = 2 ohms and I = 7 amperes, V = k * I * R = 1 * 7 * 2 = 14 volts.

Determine the Constant of Variation for the Stated Condition