In the same 30 V circuit, what is the voltage across the 20 Ω 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 the same 30 V circuit, what is the voltage across the 20 Ω resistor?

Explanation:
In a series circuit, the same current flows through every component, and the voltage drops divide in proportion to each resistance. Here the 20 Ω resistor is in series with a 10 Ω resistor across a 30 V source, so the total resistance is 30 Ω. The current is 30 V / 30 Ω = 1 A. The voltage across the 20 Ω resistor is V = I × R = 1 A × 20 Ω = 20 V. So the 20 Ω resistor drops 20 V. If the resistors were in parallel, each branch would see the full 30 V instead.

In a series circuit, the same current flows through every component, and the voltage drops divide in proportion to each resistance. Here the 20 Ω resistor is in series with a 10 Ω resistor across a 30 V source, so the total resistance is 30 Ω. The current is 30 V / 30 Ω = 1 A. The voltage across the 20 Ω resistor is V = I × R = 1 A × 20 Ω = 20 V. So the 20 Ω resistor drops 20 V. If the resistors were in parallel, each branch would see the full 30 V instead.

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