Which formula expresses voltage in terms of power and resistance?

Prepare for the Southeast Lineman Training Center Exam with quizzes and detailed explanations. Enhance your skills and knowledge through interactive tests. Get exam-ready!

Multiple Choice

Which formula expresses voltage in terms of power and resistance?

Explanation:
Voltage can be expressed in terms of power and resistance by starting from the relation P = V^2 / R. Multiply both sides by R to get P R = V^2, then take the positive square root to solve for voltage: V = sqrt(P R). This shows that the voltage is the square root of the product of power and resistance. The units confirm this: watts times ohms simplifies to volt squared, so taking the square root gives volts. The other forms don’t match the P = V^2 / R relationship and would not yield voltage with correct units (for example, multiplying P and R without a square root, or including R squared inside the root, would not give volts).

Voltage can be expressed in terms of power and resistance by starting from the relation P = V^2 / R. Multiply both sides by R to get P R = V^2, then take the positive square root to solve for voltage: V = sqrt(P R). This shows that the voltage is the square root of the product of power and resistance.

The units confirm this: watts times ohms simplifies to volt squared, so taking the square root gives volts. The other forms don’t match the P = V^2 / R relationship and would not yield voltage with correct units (for example, multiplying P and R without a square root, or including R squared inside the root, would not give volts).

More practice questions