Calculate the terminal voltage for a battery with an internal resistance of 0.835 N and an emf of 4.90 V when the battery is connected in series with an 70.6 N resistor.
Calculate the terminal voltage for a battery with an internal resistance of 0.835 N and an emf of 4.90 V when the battery is connected in series with an 70.6 N 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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Please help me with both parts of this problem, and double check your answers, i have had many issues with tutors in the past giving incorrect answers, and thats of no use to me then
![**Problem 26.1**
### Part A
Calculate the terminal voltage for a battery with an internal resistance of 0.835 Ω and an emf of 4.90 V when the battery is connected in series with an 70.6 Ω resistor.
\[ V_{ab} = \]
**Submit** `[Submit Button]` `[Request Answer]`
### Part B
Calculate the terminal voltage for a battery with an internal resistance of 0.835 Ω and an emf of 4.90 V when the battery is connected in series with an 706 Ω resistor.
\[ V_{ab} = \]
**Submit** `[Submit Button]` `[Request Answer]`
**Explanation:**
- **Part A and Part B** ask for the terminal voltage calculation for a battery under different load conditions.
- **Terminal Voltage (V_ab)** of a battery can be calculated using the formula:
\[ V_{ab} = E - I \cdot r \]
where:
- \( E \) is the electromotive force (emf) of the battery.
- \( I \) is the current flowing through the circuit.
- \( r \) is the internal resistance of the battery.
- The current \( I \) in the series circuit can be computed using Ohm's Law:
\[ I = \frac{E}{R + r} \]
where:
- \( R \) is the resistance of the external resistor connected in series with the battery.
- Substituting this current back into the terminal voltage formula provides the terminal voltage for each part.
**Usage on Educational Websites:**
- This problem set demonstrates the concepts of internal resistance and terminal voltage in electrical circuits.
- Students can use the provided information and formulas to calculate required values and understand the impact of different resistances on the terminal voltage of a battery.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F21db6622-43a4-4645-afe6-60014187ed53%2F00b2de12-d307-4293-87cf-a3b4d77e6f2d%2F15es1fz.png&w=3840&q=75)
Transcribed Image Text:**Problem 26.1**
### Part A
Calculate the terminal voltage for a battery with an internal resistance of 0.835 Ω and an emf of 4.90 V when the battery is connected in series with an 70.6 Ω resistor.
\[ V_{ab} = \]
**Submit** `[Submit Button]` `[Request Answer]`
### Part B
Calculate the terminal voltage for a battery with an internal resistance of 0.835 Ω and an emf of 4.90 V when the battery is connected in series with an 706 Ω resistor.
\[ V_{ab} = \]
**Submit** `[Submit Button]` `[Request Answer]`
**Explanation:**
- **Part A and Part B** ask for the terminal voltage calculation for a battery under different load conditions.
- **Terminal Voltage (V_ab)** of a battery can be calculated using the formula:
\[ V_{ab} = E - I \cdot r \]
where:
- \( E \) is the electromotive force (emf) of the battery.
- \( I \) is the current flowing through the circuit.
- \( r \) is the internal resistance of the battery.
- The current \( I \) in the series circuit can be computed using Ohm's Law:
\[ I = \frac{E}{R + r} \]
where:
- \( R \) is the resistance of the external resistor connected in series with the battery.
- Substituting this current back into the terminal voltage formula provides the terminal voltage for each part.
**Usage on Educational Websites:**
- This problem set demonstrates the concepts of internal resistance and terminal voltage in electrical circuits.
- Students can use the provided information and formulas to calculate required values and understand the impact of different resistances on the terminal voltage of a battery.
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