The electric field just above the surface of the charged drum of a photocopying machine has a magnitude E of 3.0 × 105 N/C. What is the surface charge density on the drum, assuming that the drum is a conductor?

The electric field just above the surface of the charged drum of a photocopying machine has a magnitude E of 3.0 × 105 N/C. What is the surface charge density on the drum, assuming that the drum is a conductor?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 69P: The surface charge density on a long straight metallic pipe is . What is the electric field outside...

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

The electric field just above the surface of the charged drum of a photocopying machine has a magnitude E of 3.0 × 105 N/C. What is
the surface charge density on the drum, assuming that the drum is a conductor?
Number
Units

Expert Solution

Step 1

Given in question - Electric field (E) = $3.0 \times 10^{5}$ N/c

To find - Surface charge density( $σ$ ) on the drum.

Solution - Step1 - Here we will understand the concept that will be used to solve this question.

As we know, Electric field on the surface of the conductor is given by -

$E = \frac{σ}{ε_{ο}}$

So the surface charge density( $σ$ ) = $ε_{ο} \times E$ ..........(1)

The value of $ε_{ο} = 8.85 \times 10^{- 12}$

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