Solved: A toroidal solenoid has an inner radius of 12.0 cm

Chapter 28, Problem 50E

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QUESTION:

Problem 50E

A toroidal solenoid has an inner radius of 12.0 cm and an outer radius of 15.0 cm. It carries a current of 1.50 A. How many equally spaced turns must it have so that it will produce a magnetic field of 3.75 mT at points within the coils 14.0 cm from its center?

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QUESTION:

Problem 50E

A toroidal solenoid has an inner radius of 12.0 cm and an outer radius of 15.0 cm. It carries a current of 1.50 A. How many equally spaced turns must it have so that it will produce a magnetic field of 3.75 mT at points within the coils 14.0 cm from its center?

ANSWER:

Solution 50E

Introduction

We have to calculate the number of turns the toroidal solenoid has.

Step 1

Since the point where we have to calculate the magnetic field is inside the toroidal solenoid, the magnetic field is given by

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