College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
The batteries in the following figure are identical. Both resistors have equal currents.
What is the resistance of the resistor on the right?
Express your answer in terms of R.(ONLY R IS USED IN THE ANSWER)
Transcribed Image Text:The image illustrates an electrical circuit featuring two power sources and two resistors.
**Components:**
1. **Power Sources:**
- There are two identical power sources, each marked with a voltage (E) and polarities (+ and -). These are connected in series, indicating that their voltages add up to drive the current through the circuit.
2. **Resistors:**
- The circuit contains two resistors. One resistor is labeled "R" and the other is labeled with a question mark ("?"), indicating an unknown resistance value. These resistors are arranged in series with the power sources.
**Circuit Layout:**
- The power sources are aligned vertically, with the positive terminal of one connected to the negative terminal of the other.
- A wire connects the free terminal of the first power source to resistor "R".
- Another wire runs from resistor "R" to the second resistor (with the unknown resistance).
- A final wire completes the circuit by connecting the second resistor back to the free terminal of the second power source.
**Explanation:**
The series circuit setup suggests that the total resistance is the sum of the individual resistances. The total voltage across the power sources equals the sum of the voltages provided by each source. This type of circuit is commonly used to study the relationships between voltage, current, and resistance, often referred to as Ohm's Law.
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