A solenoid with a cross-sectional area of 1.72 m2 is 0.805 m long and has 950 turns per m

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
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### Solenoid Problem - Part A

**Problem Description:**

A solenoid with the following specifications is given:
- Cross-sectional area: \( 1.72 \times 10^{-3} \, \text{m}^2 \)
- Length: \( 0.805 \, \text{m} \)
- Turns per meter: 950

**Task:**

Calculate the induced electromotive force (emf) in this solenoid. The current in the solenoid is increased from 0 to \( 1.50 \, \text{A} \) over a time interval of \( 30.8 \, \text{ms} \).

**User Input:**

- Enter the value of the induced emf in the input box provided with the unit in millivolts (mV).
- Use the available templates and symbols for mathematical expressions if needed.

**Actions:**

- Click "Submit" to check your answer.
- Use "Request Answer" if you need help.
- Provide feedback if necessary.

**Note:** The formula for calculating induced emf in a solenoid due to a change in current is based on Faraday's Law of Electromagnetic Induction.
Transcribed Image Text:### Solenoid Problem - Part A **Problem Description:** A solenoid with the following specifications is given: - Cross-sectional area: \( 1.72 \times 10^{-3} \, \text{m}^2 \) - Length: \( 0.805 \, \text{m} \) - Turns per meter: 950 **Task:** Calculate the induced electromotive force (emf) in this solenoid. The current in the solenoid is increased from 0 to \( 1.50 \, \text{A} \) over a time interval of \( 30.8 \, \text{ms} \). **User Input:** - Enter the value of the induced emf in the input box provided with the unit in millivolts (mV). - Use the available templates and symbols for mathematical expressions if needed. **Actions:** - Click "Submit" to check your answer. - Use "Request Answer" if you need help. - Provide feedback if necessary. **Note:** The formula for calculating induced emf in a solenoid due to a change in current is based on Faraday's Law of Electromagnetic Induction.
Expert Solution
Step 1

Given:-

The solenoid with a cross-sectional  area A = 1.72 x 10-3 m2

The length of the solenoid l= 0.805 m 

The number of  turn N  = 950 

Find:-

The induced emf in this solenoid if the current in it increases from 0 to 1.50 A in 30 ms 

 

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