In a parallel circuit with two equal resistors and a supply of 24 V, if the total current is 2 A, what is the resistance of each resistor?

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Enhance your understanding of the fundamentals of electricity with the AMT General Exam. Study with multiple-choice questions crafted to improve your knowledge and confidence. Prepare effectively for your success!

Multiple Choice

In a parallel circuit with two equal resistors and a supply of 24 V, if the total current is 2 A, what is the resistance of each resistor?

Explanation:
In a parallel circuit, the voltage across each resistor is the same as the supply, and the total current is the sum of the currents through each branch. For two identical resistors in parallel, the equivalent resistance is half of one resistor: R_eq = R/2. Given V = 24 V and total current I_total = 2 A, the equivalent resistance is R_eq = V / I_total = 24 / 2 = 12 ohms. Since R_eq = R/2 for two equal resistors, the resistance of each resistor is R = 2 × R_eq = 2 × 12 = 24 ohms.

In a parallel circuit, the voltage across each resistor is the same as the supply, and the total current is the sum of the currents through each branch. For two identical resistors in parallel, the equivalent resistance is half of one resistor: R_eq = R/2.

Given V = 24 V and total current I_total = 2 A, the equivalent resistance is R_eq = V / I_total = 24 / 2 = 12 ohms. Since R_eq = R/2 for two equal resistors, the resistance of each resistor is R = 2 × R_eq = 2 × 12 = 24 ohms.

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