Chapter 24: Q. 25 (page 684)

The electric field strength just above one face of a copper penny is $2000 N / C$ . What is the surface charge density on this face of the penny?

Short Answer

Expert verified

The surface charge density on this face of the penny is $17.1 x 10^{- 9} C / m ²$

Step by step solution

Given information and Theory used

Given :

Electric field strength : $2000 N / C$

Theory used :

The electric field inside a conductor is zero at all times when it is in electrostatic equilibrium. However, all surplus charges on the conductor accumulate on the outside surface, and as further charges are added, they spread out on the outer surface until they reach the electrostatic equilibrium points.

The electric field at the surface of a charged conductor is given by the equationrole="math" localid="1649667892464" $E_{s u r f a c e} = \frac{η}{ε_{0}}$ (1)

where $η$ is the surface charge density, which is a physical parameter that relies on the conductor's form.

Calculating the surface charge density on this face of the penny.

We will calculate the surface charge density using the electric field outside the conductor. Rearranging equation (1) for $η$ , we get :

$η = E_{s u r f a c e} \cdot ε_{0}$ (2)

We now input the values for into equation (2) to get

$η = E_{s u r f a c e} \cdot ε_{0} = (2000 N / C) (8.85 x 10^{- 12} N m ² / C ²) = 17.1 x 10^{- 9} C / m ²$

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The electric field strength just above one face of a copper penny is $2000 N / C$ . What is the surface charge density on this face of the penny?

Short Answer

Step by step solution

Given information and Theory used

Calculating the surface charge density on this face of the penny.

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The electric field strength just above one face of a copper penny is 2000N/C. What is the surface charge density on this face of the penny?

Short Answer

Step by step solution

Given information and Theory used

Calculating the surface charge density on this face of the penny.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Modern Physics

Particle Model of Matter

Dynamics

Mechanics and Materials

Conservation of Energy and Momentum

Geometrical and Physical Optics

Study anywhere. Anytime. Across all devices.

The electric field strength just above one face of a copper penny is $2000 N / C$ . What is the surface charge density on this face of the penny?