Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

A large superconducting magnet, used for magnetic resonance imaging, has a \(50.0{\rm{ }}H\) inductance. If you want current through it to be adjustable with a \(1.00{\rm{ }}s\) characteristic time constant, what is the minimum resistance of system?

The minimum resistance of system is \(50\Omega \).

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Concept Introduction

Resistance is a measurement of the resistance to current flow in an electrical circuit. Resistance in ohms is denoted by the Greek letter omega \(\left( \Omega \right)\). Ohms are named after Georg Simon Ohm \(\left( {1784 - 1854} \right)\), a German scientist who studied the relationship between voltage, current, and resistance.

Step 2: Information Provided

Inductance of the magnet: \(50.0{\rm{ }}H\)
The time constant value: \(1.00{\rm{ }}s\)

Step 3: Calculating Minimum Resistance

In \(RL\) systems, the time constant is given as

\(\tau = \frac{L}{R}\)

This means that given a time constant and inductance, the value of the resistor in the

system may be calculated as follows:

\(R = \frac{L}{\tau }\)

Numerically, in our case, we will have

\(\begin{array}{c}R = \frac{{50}}{1}\\ = 50\Omega \end{array}\)

Therefore, the required solution is \(50\Omega \).

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College Physics (Urone)

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Short Answer

A large superconducting magnet, used for magnetic resonance imaging, has a \(50.0{\rm{ }}H\) inductance. If you want current through it to be adjustable with a \(1.00{\rm{ }}s\) characteristic time constant, what is the minimum resistance of system?

Step by Step Solution

Step 1: Concept Introduction

Step 2: Information Provided

Step 3: Calculating Minimum Resistance

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College Physics (Urone)

Answers without the blur.

Short Answer

A large superconducting magnet, used for magnetic resonance imaging, has a \(50.0{\rm{ }}H\) inductance. If you want current through it to be adjustable with a \(1.00{\rm{ }}s\) characteristic time constant, what is the minimum resistance of system?

Step by Step Solution

Step 1: Concept Introduction

Step 2: Information Provided

Step 3: Calculating Minimum Resistance

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