Consider the circuit shown below, with a battery of emf E = 20. V, and resistors R1 = 2.0 Ω, R2 = 5.0 Ω, R3 = 4.0 Ω, and R4 = 12 Ω. In this problem, give your answers to two significant figures. a) How much current I2 flows through resistor R2, in amperes? b) How much current flows through resistor R3, in amperes? c) How much current flows through resistor R4, in amperes?

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Consider the circuit shown below, with a battery of emf E = 20. V, and resistors R1 = 2.0 Ω, R2 = 5.0 Ω, R3 = 4.0 Ω, and R4 = 12 Ω. In this problem, give your answers to two significant figures.

a) How much current I2 flows through resistor R2, in amperes?

b) How much current flows through resistor R3, in amperes?

c) How much current flows through resistor R4, in amperes?

### Circuit Analysis Problem

Consider the circuit shown below, with a battery of emf \( \mathcal{E} = 20 \) V, and resistors \( R_1 = 2.0 \Omega \), \( R_2 = 5.0 \Omega \), \( R_3 = 4.0 \Omega \), and \( R_4 = 12 \Omega \). In this problem, give your answers to two significant figures.

![Circuit Diagram](https://user-images.githubusercontent.com/placeholder/circuit-image)

**Circuit Description:**
- A battery represented with EMF \( \mathcal{E} \) provides a voltage of 20 V.
- Four resistors labeled \( R_1 \), \( R_2 \), \( R_3 \), and \( R_4 \) are connected in the circuit.
- Resistors \( R_1 \) and \( R_2 \) are connected in series.
- Resistors \( R_3 \) and \( R_4 \) are connected in parallel with each other, and the combination is in series with \( R_1 \) and \( R_2 \).

**Resistances:**
- \( R_1 = 2.0 \Omega \)
- \( R_2 = 5.0 \Omega \)
- \( R_3 = 4.0 \Omega \)
- \( R_4 = 12 \Omega \)

#### Diagram Explanation

1. **Battery:** The diagram includes a symbolic representation of a battery with emf \( \mathcal{E} \).
2. **Resistors in Series:** \( R_1 \) and \( R_2 \) are placed one after another, indicating that they are in series.
3. **Parallel Connection:** \( R_3 \) and \( R_4 \) are placed parallel to each other, forming a parallel branch that is then connected in series to the combination of \( R_1 \) and \( R_2 \).

**Instructions:**
- Calculate equivalent resistances, currents, and voltages in the circuit using series and parallel resistance formulas.
- Round off your final answers to two significant figures.
Transcribed Image Text:### Circuit Analysis Problem Consider the circuit shown below, with a battery of emf \( \mathcal{E} = 20 \) V, and resistors \( R_1 = 2.0 \Omega \), \( R_2 = 5.0 \Omega \), \( R_3 = 4.0 \Omega \), and \( R_4 = 12 \Omega \). In this problem, give your answers to two significant figures. ![Circuit Diagram](https://user-images.githubusercontent.com/placeholder/circuit-image) **Circuit Description:** - A battery represented with EMF \( \mathcal{E} \) provides a voltage of 20 V. - Four resistors labeled \( R_1 \), \( R_2 \), \( R_3 \), and \( R_4 \) are connected in the circuit. - Resistors \( R_1 \) and \( R_2 \) are connected in series. - Resistors \( R_3 \) and \( R_4 \) are connected in parallel with each other, and the combination is in series with \( R_1 \) and \( R_2 \). **Resistances:** - \( R_1 = 2.0 \Omega \) - \( R_2 = 5.0 \Omega \) - \( R_3 = 4.0 \Omega \) - \( R_4 = 12 \Omega \) #### Diagram Explanation 1. **Battery:** The diagram includes a symbolic representation of a battery with emf \( \mathcal{E} \). 2. **Resistors in Series:** \( R_1 \) and \( R_2 \) are placed one after another, indicating that they are in series. 3. **Parallel Connection:** \( R_3 \) and \( R_4 \) are placed parallel to each other, forming a parallel branch that is then connected in series to the combination of \( R_1 \) and \( R_2 \). **Instructions:** - Calculate equivalent resistances, currents, and voltages in the circuit using series and parallel resistance formulas. - Round off your final answers to two significant figures.
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