A solenoid is wound with N=753 turns on a form that has a diameter of d=3.6cm and length of 1-41cm. The windings carry a current I in the sense that is shown in the figure. The current produces a magnetic field, of magnitude B=15mT, near the center of the solenoid. Determine the current in the solenoid windings (in A).

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A solenoid is wound with N =753 turns on a form that has a diameter of d =3.6cm and length of l =41cm. The windings carry a current I in the sense that is shown in the figure. The current produces a magnetic field, of magnitude B =15mT, near the center of the solenoid. Determine the current in the solenoid windings (in A Look correct answer show all work
### Solenoid Current Calculation

**Problem Statement:**

A solenoid is wound with \( N = 753 \) turns on a form that has a diameter of \( d = 3.6 \, \text{cm} \) and a length of \( l = 41 \, \text{cm} \). The windings carry a current \( I \) in the sense shown in the figure. The current produces a magnetic field of magnitude \( B = 15 \, \text{mT} \) near the center of the solenoid. Determine the current in the solenoid windings (in A).

**Diagram Explanation:**

- The diagram shows a solenoid with wire loops.
- The solenoid is represented as a rectangle with vertical lines indicating the turns of the wire.
- Arrows on either side of the solenoid indicate the direction of current flow.

**Your Answer:**

- You answered: 1.559 A

**Correct Answer:**

- Correct Answer: 6.4994 A 
- Margin of error: +/- 1%

This problem involves calculating the current required to produce a specific magnetic field within a solenoid, given its physical parameters and the number of turns.
Transcribed Image Text:### Solenoid Current Calculation **Problem Statement:** A solenoid is wound with \( N = 753 \) turns on a form that has a diameter of \( d = 3.6 \, \text{cm} \) and a length of \( l = 41 \, \text{cm} \). The windings carry a current \( I \) in the sense shown in the figure. The current produces a magnetic field of magnitude \( B = 15 \, \text{mT} \) near the center of the solenoid. Determine the current in the solenoid windings (in A). **Diagram Explanation:** - The diagram shows a solenoid with wire loops. - The solenoid is represented as a rectangle with vertical lines indicating the turns of the wire. - Arrows on either side of the solenoid indicate the direction of current flow. **Your Answer:** - You answered: 1.559 A **Correct Answer:** - Correct Answer: 6.4994 A - Margin of error: +/- 1% This problem involves calculating the current required to produce a specific magnetic field within a solenoid, given its physical parameters and the number of turns.
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