### Magnetic Field of a Permanent Magnet and Solenoid#### ContextThis content relates to understanding the magnetic field strength produced by a permanent magnet and comparing it to that produced by a solenoid.#### Problem StatementThe magnetic field strength at the north pole of a permanent magnet, which is 2.0 cm in diameter and 8 cm in length, is 0.10 T.#### ObjectiveTo produce the same magnetic field strength with a solenoid of the same size, carrying a current of 1.8 A, how many turns of wire would be needed?#### Instructions- **Express your answer to two significant figures.**##### Input Field:- \( N = \) [__________] turns##### Actions Available:- **Submit**- **Previous Answers**- **Request Answer**The user is expected to calculate the number of turns (\( N \)) of the wire required for the solenoid to produce a magnetic field of 0.10 T given a current of 1.8 A.### Background Information- **Permanent Magnet**: A magnet that maintains its magnetic properties even in the absence of an external magnetic field.- **Solenoid**: A coil of wire designed to generate a magnetic field when an electric current passes through it.- **Magnetic Field (B)**: The magnetic influence produced by electric currents and magnetic materials.#### Input Parameters:- Diameter of magnet: 2.0 cm- Length of magnet: 8 cm- Magnetic field strength: 0.10 T (tesla)- Solenoid current: 1.8 A (amperes)### Formula (For self-calculation)The magnetic field \( B \) inside a solenoid is given by:\[ B = \mu_0 \frac{N}{L} I \]Where:- \( B \) is the magnetic field strength (tesla, T)- \( \mu_0 \) is the permeability of free space (\( 4\pi \times 10^{-7} \, \text{T·m/A} \))- \( N \) is the number of turns of the coil- \( L \) is the length of the solenoid (meters, m)- \( I \) is the current through the solenoid (amperes, A)#### ApplicationBased on these parameters, someone can calculate the required number of turns \( N \)

Given magnetic field (B)=0.10 T length (l)=0.08 m current(i)=1.8 A Required turns(N)=?

The magnetic field strength at the north pole of a 2.0-cm-diameter, 8-cm-long permanent magnet is 0.10 T. Part A To produce the same field with a solenoid of the same size, carrying a current of 1.8 A, how many turns of wire would you need? Express your answer to two significant figures. 15. ΑΣΦ ? N = Submit Previous Answers Request Answer turns

The magnetic field strength at the north pole of a 2.0-cm-diameter, 8-cm-long permanent magnet is 0.10 T. Part A To produce the same field with a solenoid of the same size, carrying a current of 1.8 A, how many turns of wire would you need? Express your answer to two significant figures. 15. ΑΣΦ ? N = Submit Previous Answers Request Answer turns

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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