The resistors in the circuit below have the following values: R1 = 8.20 Ω, R2 = 7.00 Ω, and R3 = 4.40 Ω. The two batteries each have a voltage of 7.00 V. (a) Find the current in through R3. (b) How much power do the batteries deliver to R3? I keep calculating the current incorrectly, yet I calculate the power. Which uses the current. Can you help me to understand what part of Kirchhoff's Law I keep messing up.
The resistors in the circuit below have the following values: R1 = 8.20 Ω, R2 = 7.00 Ω, and R3 = 4.40 Ω. The two batteries each have a voltage of 7.00 V. (a) Find the current in through R3. (b) How much power do the batteries deliver to R3? I keep calculating the current incorrectly, yet I calculate the power. Which uses the current. Can you help me to understand what part of Kirchhoff's Law I keep messing up.
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The resistors in the circuit below have the following values: R1 = 8.20 Ω, R2 = 7.00 Ω, and R3 = 4.40 Ω. The two batteries each have a voltage of 7.00 V.
(a) Find the current in through R3.
(b) How much power do the batteries deliver to R3?
I keep calculating the current incorrectly, yet I calculate the power. Which uses the current. Can you help me to understand what part of Kirchhoff's Law I keep messing up.
Transcribed Image Text:The diagram illustrates an electrical circuit with the following components:
1. **Resistors**:
- \( R_1 \) is connected in series with the power source \( \varepsilon_1 \).
- \( R_2 \) is connected in parallel to both \( R_1 \) and the power source \( \varepsilon_1 \).
- \( R_3 \) is connected in series with the power source \( \varepsilon_2 \) and in parallel with \( R_2 \).
2. **Power Sources**:
- \( \varepsilon_1 \) is a voltage source connected in series with \( R_1 \).
- \( \varepsilon_2 \) is a voltage source connected in series with \( R_3 \).
The circuit features two parallel branches, each containing a resistor and a voltage source. The first branch contains \( R_1 \) in series with \( \varepsilon_1 \), while the second branch contains \( R_3 \) in series with \( \varepsilon_2 \). \( R_2 \) is positioned between these branches, in parallel to both sources and their respective loaded resistors. The circuit layout demonstrates a combination of series and parallel connections, highlighting various points for voltage and current analysis.
Transcribed Image Text:The resistors in the circuit below have the following values: \( R_1 = 8.20 \, \Omega \), \( R_2 = 7.00 \, \Omega \), and \( R_3 = 4.40 \, \Omega \). The two batteries each have a voltage of \( 7.00 \, \text{V} \).
**Diagram Description:**
The circuit diagram includes three resistors \( R_1 \), \( R_2 \), and \( R_3 \). Resistors \( R_2 \) and \( R_3 \) are in parallel, and this combination is in series with \( R_1 \). There are two batteries labeled \( \varepsilon_1 \) and \( \varepsilon_2 \), each providing \( 7.00 \, \text{V} \).
**Questions:**
(a) Find the current in through \( R_3 \).
- Incorrect Attempt: 1.67 A
- Additional Considerations: Is it possible to reduce the circuit by considering series and/or parallel combination of resistors? What is the total current delivered by the batteries? What is the voltage across \( R_3 \)?
(b) How much power do the batteries deliver to \( R_3 \)?
- Correct Answer: 2.64 W
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