Four resistors are connected as shown below. R1 = R2 = R3 = R4 = 36 Ω. The voltage across the battery is 97 V. What is the voltage across R2, in Volts?
Four resistors are connected as shown below. R1 = R2 = R3 = R4 = 36 Ω. The voltage across the battery is 97 V. What is the voltage across R2, in Volts?
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Question
Four resistors are connected as shown below. R1 = R2 = R3 = R4 = 36 Ω. The voltage across the battery is 97 V. What is the voltage across R2, in Volts?
Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
Transcribed Image Text:### Circuit Diagram Explanation
This image depicts a simple electrical circuit containing resistors and an electromotive force (EMF) source, denoted by \( \mathcal{E} \).
#### Components:
1. **EMF Source (\( \mathcal{E} \)):**
- Positioned at the bottom left of the circuit.
- Represents a battery or power supply that provides the voltage to drive current through the circuit.
2. **Resistors:**
- **\( R_1 \):**
- Connected in series with the EMF source.
- Located immediately to the right of the EMF source.
- **\( R_2 \):**
- Connected in parallel with \( R_1 \).
- Forms a vertical path between the positive and negative terminals.
- **\( R_3 \):**
- Positioned at the top of the circuit.
- Connected in series following the parallel combination of \( R_1 \) and \( R_2 \).
- **\( R_4 \):**
- Located at the bottom right.
- Connected in series after \( R_3 \) and completes the loop back to the negative terminal of the EMF source.
#### Circuit Configuration:
- This is a mixed configuration consisting of both series and parallel resistors.
- \( R_1 \) and \( R_2 \) form a parallel branch, while \( R_3 \) and \( R_4 \) are in series with this parallel combination.
- The EMF provides the potential difference across the circuit, driving current through the resistors.
#### Analysis:
- To analyze this circuit, Ohm's Law and Kirchhoff’s Laws can be used to determine current and voltage across each resistor.
- Total resistance in the circuit can be calculated by first finding the equivalent resistance of the parallel resistors (\( R_1 \) and \( R_2 \)) and then adding it to the resistance of \( R_3 \) and \( R_4 \).
This diagram is fundamental for understanding basic circuit design and analysis in electrical engineering and physics.
Expert Solution
Step 1
Given:
- R1 = R2 = R3 = R4 = 36 Ω.
- voltage across the battery is 97 V.
To find:
- Voltage across R2
Step by step
Solved in 2 steps with 1 images
