Here's a transcription and explanation suitable for an educational website:---**Physics Problem Set****80.** An automobile battery has an electromotive force (emf) of 12.6 V and an internal resistance of 0.0800 Ω. The headlights together present an equivalent resistance of 5.00 Ω (assumed constant). What is the potential difference across the headlight bulbs (a) when they are the only load on the battery, and (b) when the starter motor is operated, taking an additional 35.0 A from the battery?**81.** Determine the current through each resistor shown in the circuit diagram below.*Circuit Diagram Description:* - The circuit consists of a battery with a voltage of **V₁ = 1.6 V**.- Three resistors are present: **R₁ = 2 kΩ**, **R₂ = 1 kΩ**, and **R₃ = 1 kΩ**.- There is a voltage across the resistors given as **V₂ = 1.4 V**.**82.** Switch S is closed at time \( t = 0 \) to begin charging an initially uncharged capacitor of capacitance \( C = 15.0 \, \mu\text{F} \) through a resistor of resistance \( R = 20.0 \, \Omega \). At what time is the potential across the capacitor equal to that across the resistor?*Circuit Diagram Description:* - The circuit includes a switch S, a resistor with resistance \( R = 20.0 \, \Omega \), and a capacitor with capacitance \( C = 15.0 \, \mu\text{F} \).- The battery supplies potential difference across this RC circuit.**Extra:** This problem set might be included in a test, so do not hand it in.--- This text provides a clear and concise presentation of the problems, helping students understand the requirements and visualize the associated circuits.

Solution: Given that C = 15 μF R = 20 ohm

82. Switch S in is closed at time t 30, to begin charging an initially uncharged capacitance C= 15.0 µF through a resistor of resistance R = 20.0 Q. %3D S. cаpacitor of R %3D At what time is the potential across the capacitor equal to that across the resistor?

82. Switch S in is closed at time t 30, to begin charging an initially uncharged capacitance C= 15.0 µF through a resistor of resistance R = 20.0 Q. %3D S. cаpacitor of R %3D At what time is the potential across the capacitor equal to that across the resistor?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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---

**Physics Problem Set**

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

**81.** Determine the current through each resistor shown in the circuit diagram below.

*Circuit Diagram Description:*
- The circuit consists of a battery with a voltage of **V₁ = 1.6 V**.
- Three resistors are present: **R₁ = 2 kΩ**, **R₂ = 1 kΩ**, and **R₃ = 1 kΩ**.
- There is a voltage across the resistors given as **V₂ = 1.4 V**.

**82.** Switch S is closed at time \( t = 0 \) to begin charging an initially uncharged capacitor of capacitance \( C = 15.0 \, \mu\text{F} \) through a resistor of resistance \( R = 20.0 \, \Omega \). At what time is the potential across the capacitor equal to that across the resistor?

*Circuit Diagram Description:*
- The circuit includes a switch S, a resistor with resistance \( R = 20.0 \, \Omega \), and a capacitor with capacitance \( C = 15.0 \, \mu\text{F} \).
- The battery supplies potential difference across this RC circuit.

**Extra:** This problem set might be included in a test, so do not hand it in.

---

This text provides a clear and concise presentation of the problems, helping students understand the requirements and visualize the associated circuits.

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