Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

Show that units of V/m and N/m for electric field strength are indeed equivalent.

The units V/m and N/m are equivalent.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Principle

In a homogeneous electric field of magnitude E , the potential difference between two locations separated by a distance d is

$ΔV = Ed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (1)$

The electric force F_e at any point due to a test charge q and electric field $\vec{E}$ is given by,

$\vec{E} = \frac{{\vec{F}}_{e}}{q} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)$

Step 2: Explanation

The electric field strength is, according to Equation (1), equal to:

$E = \frac{F_{e}}{q}$

Where F_e is measured in Newton and q is in Coulombs, therefore, the electric field strength is measured in Newton/Coulomb or N/C.

From equation (2), electric field strength is:

$E = \frac{ΔV}{d}$

Where $∆ V$ is measured in volts and d is measured in meters, the electric field strength is measured in volt/meter or V/m .

Hence, V/m is equivalent to N/m.

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College Physics (Urone)

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Short Answer

Show that units of V/m and N/m for electric field strength are indeed equivalent.

Step by Step Solution

Step 1: Principle

Step 2: Explanation

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College Physics (Urone)

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Short Answer

Show that units of V/m and N/m for electric field strength are indeed equivalent.

Step by Step Solution

Step 1: Principle

Step 2: Explanation

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