Find the equivalent resistance, the current supplied by the battery and the current through each resistor when the specified resistors are connected across a 7-V battery. Part (a) uses two resistors with resistance values that can be set with the animation sliders, and you can use the animation to verify your calculation. In part (b), three resistors are specified. (a) Two resistors are connected in series across a 7-V battery. Let R, = 10 and R, = 6 n. Reg - I - AV AV2 A ]v |v (b) Add a third resistor to the circuit in series. Let R, - 1 n, R, -6 n, and R, - 2n. Rea A |v v I = AV, AV2 AV3 V

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Two resistors are connected in series across a 7-V battery. Let R1 = 1 Ω and R2 = 6 Ω.

 

Add a third resistor to the circuit in series. Let R1 = 1 Ω, R2 = 6 Ω, and R3 = 2 Ω.

Title: Calculating Equivalent Resistance and Current in Series Circuits

---

**Objective:** Understand how to find the equivalent resistance, the current supplied by the battery, and the current through each resistor in a series circuit connected to a 7-V battery.

**Instructions:**

**Part (a):** Two Resistors in Series
- Two resistors are connected in series across a 7-V battery.
- Resistance values: \(R_1 = 1 \, \Omega\), \(R_2 = 6 \, \Omega\).

**Calculations:**
1. **Equivalent Resistance (\(R_{\text{eq}}\)):** 
   - Calculate using \(R_{\text{eq}} = R_1 + R_2\).
   - Enter your calculated value in \(\Omega\).

2. **Current (\(I\)):**
   - Use Ohm’s Law: \(I = \frac{V}{R_{\text{eq}}}\).
   - Enter the current in Amperes (A).

3. **Voltage Across Each Resistor (\(\Delta V_1\) and \(\Delta V_2\)):**
   - Calculate using \(\Delta V = IR\).
   - Find \(\Delta V_1\) for \(R_1\) and \(\Delta V_2\) for \(R_2\).
   - Enter the values in Volts (V).

**Part (b):** Three Resistors in Series
- Add a third resistor to the circuit.
- Resistance values: \(R_1 = 1 \, \Omega\), \(R_2 = 6 \, \Omega\), \(R_3 = 2 \, \Omega\).

**Calculations:**
1. **Equivalent Resistance (\(R_{\text{eq}}\)):** 
   - Calculate using \(R_{\text{eq}} = R_1 + R_2 + R_3\).
   - Enter your calculated value in \(\Omega\).

2. **Current (\(I\)):**
   - Use Ohm’s Law: \(I = \frac{V}{R_{\text{eq}}}\).
   - Enter the current in Amperes (A).

3. **Voltage Across Each Resistor (\(\Delta V_1\), \(\Delta V_2\), and \(\Delta V_3\)):**
   - Calculate using
Transcribed Image Text:Title: Calculating Equivalent Resistance and Current in Series Circuits --- **Objective:** Understand how to find the equivalent resistance, the current supplied by the battery, and the current through each resistor in a series circuit connected to a 7-V battery. **Instructions:** **Part (a):** Two Resistors in Series - Two resistors are connected in series across a 7-V battery. - Resistance values: \(R_1 = 1 \, \Omega\), \(R_2 = 6 \, \Omega\). **Calculations:** 1. **Equivalent Resistance (\(R_{\text{eq}}\)):** - Calculate using \(R_{\text{eq}} = R_1 + R_2\). - Enter your calculated value in \(\Omega\). 2. **Current (\(I\)):** - Use Ohm’s Law: \(I = \frac{V}{R_{\text{eq}}}\). - Enter the current in Amperes (A). 3. **Voltage Across Each Resistor (\(\Delta V_1\) and \(\Delta V_2\)):** - Calculate using \(\Delta V = IR\). - Find \(\Delta V_1\) for \(R_1\) and \(\Delta V_2\) for \(R_2\). - Enter the values in Volts (V). **Part (b):** Three Resistors in Series - Add a third resistor to the circuit. - Resistance values: \(R_1 = 1 \, \Omega\), \(R_2 = 6 \, \Omega\), \(R_3 = 2 \, \Omega\). **Calculations:** 1. **Equivalent Resistance (\(R_{\text{eq}}\)):** - Calculate using \(R_{\text{eq}} = R_1 + R_2 + R_3\). - Enter your calculated value in \(\Omega\). 2. **Current (\(I\)):** - Use Ohm’s Law: \(I = \frac{V}{R_{\text{eq}}}\). - Enter the current in Amperes (A). 3. **Voltage Across Each Resistor (\(\Delta V_1\), \(\Delta V_2\), and \(\Delta V_3\)):** - Calculate using
Expert Solution
Step 1

Given:

Voltage of battery, V = 7 V

Resistance, R1 = 1 Ω

Resistance, R2 = 6 Ω

Resistance, R3 = 2 Ω

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