Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

A 2.50-m segment of wire supplying current to the motor of a submerged submarine carries 1000 A and feels a 4.00-N repulsive force from a parallel wire 5.00cm away. What is the direction and magnitude of the current in the other wire?

The current magnitude in the wire is 400 A and direction will be opposite to the other wire.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given data

The force between two wires is $F = 4.00 N$

The separation between the wires is $r = 5.00 cm (\frac{1 m}{100 cm}) = 5.00 \times 10^{- 2} m$

Current in the first wire is $I_{1} = 1000 A$

Length of the wire segment $L = 2.50 cm$

Step 2: Define current

A flow of electrical charge carriers, generally electrons or electron-deficient atoms, is referred to as current.

Step 3: Evaluating the magnitude and direction of the current

To determine the current in another wire, we will use the formula for force per unit length that can be expressed as,

$\frac{F}{L} = \frac{μ_{0} I_{1} I_{2}}{2 ττr}$ ……………(1)

Where $I_{1}$ and $I_{2}$ is the current in the wires, r is the separation between the wires, and $μ_{0}$ is the permeability of free space.

Substitute the given data in equation (1) and solve for $I_{2}$ to get the current in another wire, such that

$I_{2} = \frac{2 πrF}{μ_{0} I_{1} L} = \frac{2 π \times 4.00 N \times 5.00 \times 10^{- 2} m}{4 π \times 10^{- 7} N / A^{2} \times 1000 A \times 2.50 m} = 400 A$

Since the force is repulsive, the current in the other wire will flow in the opposite direction as the current in the first.

Therefore, the current magnitude is 400 A and direction is opposite of the other wire.

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College Physics (Urone)

Answers without the blur.

Short Answer

A 2.50-m segment of wire supplying current to the motor of a submerged submarine carries 1000 A and feels a 4.00-N repulsive force from a parallel wire 5.00cm away. What is the direction and magnitude of the current in the other wire?

Step by Step Solution

Step 1: Given data

Step 2: Define current

Step 3: Evaluating the magnitude and direction of the current

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College Physics (Urone)

Answers without the blur.

Short Answer

A 2.50-m segment of wire supplying current to the motor of a submerged submarine carries 1000 A and feels a 4.00-N repulsive force from a parallel wire 5.00cm away. What is the direction and magnitude of the current in the other wire?

Step by Step Solution

Step 1: Given data

Step 2: Define current

Step 3: Evaluating the magnitude and direction of the current

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