### Educational Content#### Problem Sets:**79. Circuit Analysis**- Consider the circuit shown. - (a) Find the current in the 20.0-Ω resistor. - (b) Determine the potential difference between points \( a \) and \( b \). **Diagram:** - A series circuit with a voltage source labeled 25.0 V. - Resistors: - Two 10.0-Ω resistors in parallel. - Two 5.00-Ω resistors in series with points \( a \) and \( b \). - A 20.0-Ω resistor connected in series with the entire circuit.**80. Automobile Battery Analysis**- An automobile battery has an emf of 12.6 V and an internal resistance of 0.0800 Ω.- The headlights present an equivalent resistance of 5.00 Ω (assumed constant). - (a) Calculate the potential difference across the headlight bulbs when they are the only load. - (b) Calculate the potential difference when the starter motor, taking an additional 35.0 A from the battery, is operated.**81. Current through Resistors**- Determine the current through each resistor in the given circuit. **Diagram:** - A multi-loop circuit with: - Voltage sources \( V_1 = 1.6 \) V and \( V_2 = 1.4 \) V. - Resistors: \( R_1 = 2 \) kΩ, \( R_2 = 1 \) kΩ, \( R_3 = 1 \) kΩ.**82. Charging a Capacitor**- Switch \( S \) is closed at time \( t = 0 \), starting the charge of an initially uncharged capacitor.- Capacitance \( C = 15.0 \) μF through a resistor of resistance \( R = 20.0 \) Ω.- At what time is the potential across the capacitor equal to that across the resistor? **Diagram:** - A simple RC circuit with: - A switch \( S \), a resistor \( R \), and a capacitor \( C \).**Extra: Don't hand in, might be on test**---This content can be used for educational purposes to better understand resistor and capacitor networks in electrical circuits.

"Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: 79. Consider 10.0 2 25.0 V the circuit…

79. Consider 10.0 2 25.0 V the circuit shown. Find (a) 10.02 the current in the 20.0-2 resistor and (b) the potential 5.00 2 5.00 2 20.0 2 difference between points a and b.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter23: Series And Parallel Circuits

Section: Chapter Questions

Problem 48A

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Question

### Educational Content

#### Problem Sets:

**79. Circuit Analysis**
- Consider the circuit shown.
- (a) Find the current in the 20.0-Ω resistor.
- (b) Determine the potential difference between points \( a \) and \( b \).

**Diagram:**
- A series circuit with a voltage source labeled 25.0 V.
- Resistors:
- Two 10.0-Ω resistors in parallel.
- Two 5.00-Ω resistors in series with points \( a \) and \( b \).
- A 20.0-Ω resistor connected in series with the entire circuit.

**80. Automobile Battery Analysis**
- An automobile battery has an emf of 12.6 V and an internal resistance of 0.0800 Ω.
- The headlights present an equivalent resistance of 5.00 Ω (assumed constant).
- (a) Calculate the potential difference across the headlight bulbs when they are the only load.
- (b) Calculate the potential difference when the starter motor, taking an additional 35.0 A from the battery, is operated.

**81. Current through Resistors**
- Determine the current through each resistor in the given circuit.

**Diagram:**
- A multi-loop circuit with:
- Voltage sources \( V_1 = 1.6 \) V and \( V_2 = 1.4 \) V.
- Resistors: \( R_1 = 2 \) kΩ, \( R_2 = 1 \) kΩ, \( R_3 = 1 \) kΩ.

**82. Charging a Capacitor**
- Switch \( S \) is closed at time \( t = 0 \), starting the charge of an initially uncharged capacitor.
- Capacitance \( C = 15.0 \) μF through a resistor of resistance \( R = 20.0 \) Ω.
- At what time is the potential across the capacitor equal to that across the resistor?

**Diagram:**
- A simple RC circuit with:
- A switch \( S \), a resistor \( R \), and a capacitor \( C \).

**Extra: Don't hand in, might be on test**

---

This content can be used for educational purposes to better understand resistor and capacitor networks in electrical circuits.

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