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Chapter 24: Q. 25 (page 684)

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

Expert verified

The surface charge density on this face of the penny is17.1x10-9C/m虏

Step by step solution

01

Given information and Theory used 

Given :

Electric field strength : 2000N/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" Esurface=畏蔚0 (1)

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

02

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 畏, we get :

畏=Esurface路蔚0 (2)

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

畏=Esurface路蔚0=(2000N/C)(8.85x10-12Nm虏/C虏)=17.1x10-9C/m虏

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Most popular questions from this chapter

An early model of the atom, proposed by Rutherford after his discovery of the atomic nucleus, had a positive point charge +Ze (the nucleus) at the center of a sphere of radius R with uniformly distributed negative charge -Ze. Z is the atomic number, the number of protons in the nucleus and the number of electrons in the negative sphere. a. Show that the electric field strength inside this atom is

Ein=Ze4蟺系01r2-rR3

b. What is E at the surface of the atom? Is this the expected value? Explain.

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