In the circuit of (Figure 1), each resistor represents a light bulb. Let R1 = R2 = R3 = R4 = 4.56 N and let the EMF be 8.98 V. Find the current in the bulb R3. Express your answer in amperes. I = A Figure < 1 of 1 R1 Part D R3 R4 Find the current in the bulb R4. R2 Express your answer in amperes. A I =

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**Part A: Circuit Description**

In the circuit depicted in **Figure 1**, each resistor represents a light bulb. The resistances are as follows: 

- \( R_1 = R_2 = R_3 = R_4 = 4.56 \, \Omega \)

The electromotive force (EMF) of the circuit is \( 8.98 \, \text{V} \).

**Figure 1: Circuit Diagram**

The diagram shows a circuit with an EMF source, labeled with a positive and negative terminal. Four resistors, \( R_1 \), \( R_2 \), \( R_3 \), and \( R_4 \), are arranged in a combination of series and parallel connections. Resistors \( R_1 \) and \( R_2 \) are in series, and this series combination is in parallel with a series combination of resistors \( R_3 \) and \( R_4 \).

**Part B: Problem-Solving**

1. **Find the current in the bulb \( R_3 \).**

   You need to express your answer in amperes (A). Use the formula for calculating current in a resistor when the resistors are connected in parallel.

   \[
   I = \text{(Insert Calculation Box Here)}
   \]

2. **Find the current in the bulb \( R_4 \).**

   Similarly, express your answer in amperes (A). This involves using the same principles for parallel circuits.

   \[
   I = \text{(Insert Calculation Box Here)}
   \]

These tasks involve applying Ohm's Law and understanding series-parallel circuits to determine the current flowing through specific resistors.
Transcribed Image Text:**Part A: Circuit Description** In the circuit depicted in **Figure 1**, each resistor represents a light bulb. The resistances are as follows: - \( R_1 = R_2 = R_3 = R_4 = 4.56 \, \Omega \) The electromotive force (EMF) of the circuit is \( 8.98 \, \text{V} \). **Figure 1: Circuit Diagram** The diagram shows a circuit with an EMF source, labeled with a positive and negative terminal. Four resistors, \( R_1 \), \( R_2 \), \( R_3 \), and \( R_4 \), are arranged in a combination of series and parallel connections. Resistors \( R_1 \) and \( R_2 \) are in series, and this series combination is in parallel with a series combination of resistors \( R_3 \) and \( R_4 \). **Part B: Problem-Solving** 1. **Find the current in the bulb \( R_3 \).** You need to express your answer in amperes (A). Use the formula for calculating current in a resistor when the resistors are connected in parallel. \[ I = \text{(Insert Calculation Box Here)} \] 2. **Find the current in the bulb \( R_4 \).** Similarly, express your answer in amperes (A). This involves using the same principles for parallel circuits. \[ I = \text{(Insert Calculation Box Here)} \] These tasks involve applying Ohm's Law and understanding series-parallel circuits to determine the current flowing through specific resistors.
## Circuit Analysis – Educational Exercise

### Problem Statement

In the circuit of **Figure 1**, each resistor represents a light bulb. Let \( R_1 = R_2 = R_3 = R_4 = 4.56 \, \Omega \) and let the EMF (electromotive force) be \( 8.98 \, \text{V} \).

---

### Diagram Explanation

**Figure 1** displays a schematic of a circuit with four resistive components, labeled \( R_1, R_2, R_3, \) and \( R_4 \). 

- The voltage source \( \mathcal{E} \) is connected in series with resistors \( R_1 \) and \( R_2 \).
- Resistors \( R_3 \) and \( R_4 \) are in parallel with each other, connected to the junction between \( R_1 \) and \( R_2 \).

---

### Tasks

#### Part A

Find the current in the bulb \( R_1 \).  
**Express your answer in amperes.**

\[ I = \_ \, \text{A} \]

---

#### Part B

Find the current in the bulb \( R_2 \).  
**Express your answer in amperes.**

\[ I = \_ \, \text{A} \]

---

### Instructions

- Calculate the current flowing through each resistor using Ohm's Law and the rules for series and parallel circuits.
- Assume ideal conditions without any energy losses other than those described by the resistances.
- You may use formulas related to series and parallel resistors for simplification.
Transcribed Image Text:## Circuit Analysis – Educational Exercise ### Problem Statement In the circuit of **Figure 1**, each resistor represents a light bulb. Let \( R_1 = R_2 = R_3 = R_4 = 4.56 \, \Omega \) and let the EMF (electromotive force) be \( 8.98 \, \text{V} \). --- ### Diagram Explanation **Figure 1** displays a schematic of a circuit with four resistive components, labeled \( R_1, R_2, R_3, \) and \( R_4 \). - The voltage source \( \mathcal{E} \) is connected in series with resistors \( R_1 \) and \( R_2 \). - Resistors \( R_3 \) and \( R_4 \) are in parallel with each other, connected to the junction between \( R_1 \) and \( R_2 \). --- ### Tasks #### Part A Find the current in the bulb \( R_1 \). **Express your answer in amperes.** \[ I = \_ \, \text{A} \] --- #### Part B Find the current in the bulb \( R_2 \). **Express your answer in amperes.** \[ I = \_ \, \text{A} \] --- ### Instructions - Calculate the current flowing through each resistor using Ohm's Law and the rules for series and parallel circuits. - Assume ideal conditions without any energy losses other than those described by the resistances. - You may use formulas related to series and parallel resistors for simplification.
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