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Chapter 13: Q32P (page 541)

A sphere with radius 2cm is placed at a location near a point charge. The sphere has a charge of -9脳10-10C spread uniformly over its surface. The electric field due to the point charge has a magnitude of 470N/C at the center of the sphere. What is the magnitude of the force on the sphere due to the point charge?

Short Answer

Expert verified

The magnitude of force on the sphere due to point charge is -4.23脳10-7N.

Step by step solution

01

Identification of given data

The given data can be listed below,

  • The radius of the sphere is, r=2cm.
  • The charge on the sphere is, q=-9脳10-10C.
  • The magnitude of electric field on the point charge is, E=470N/C.
02

Concept/Significance of electric force.

The electric force is the force exerted on any charged particle or body when it interacts with an electric field. There will be no electric force if there is no electric field.

03

Determination of the magnitude of the force on the sphere due to the point charge.

The force on the sphere due to point charge is given by,

F鈫�=E鈫�q

Here, E鈫� is the electric field on the point charge and q is the charge on sphere.

Substitute all the values in the above equation.

F鈫�=470N/C-9脳10-10C=-4.23脳10-7N

Thus, the magnitude of the force on the sphere due to point charge is=-4.23脳10-7N

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Most popular questions from this chapter

In the region shown in Figure 13.63 there is an electric field due to a point charge located at the center of the dashed circle. The arrows indicate the magnitude and direction of the electric field at the locations shown

(a) What is the sign of the source charge? (b) Now a particle whose charge is -7脳10-9Cis placed at location B. What is the direction of the electric force on the -7脳10-9Ccharge? (c) The electric field at location B has the value (2000,2000,0)N/C. What is the unit vector in the direction ofat this location? (d) What is the electric force on the -7脳10-9Ccharge? (e) What is the unit vector in the direction of this electric force?

You make repeated measurements of the electric fieldE鈫�due to a distant charge, and you find it is constant in magnitude and direction. At timerole="math" localid="1656916621351" t=0your partner moves the charge. The electric field doesn鈥檛 change for a while, but at timet=45nsyou observe a sudden change. How far away was the charge originally?

A dipole consists of two charges +6鈥�nCand 鈭�6鈥�nC, held apart by a rod of length 3鈥�mm, as shown in Figure 13.71. (a) What is the magnitude of the electric field due to the dipole at location A, 5鈥�cmfrom the center of the dipole? (b) What is the magnitude of the electric field due to the dipole at location B, 5鈥�cmfrom the center of the dipole?

At a particular location in the room there is an electric field <1000,0,0>鈥�N/C. Where would you place a single negative point particle of charge 1渭Cin order to produce this electric field?

In Figure 13.66 a proton at location A makes an electric field E鈫�1at location B. A different proton, placed at location B, experiences a force F鈫�1. Now the proton at B is removed and replaced by a lithium nucleus, containing three protons and four neutrons. (a) Now what is the value of the electric field at location B due to the proton? (b) What is the force on the lithium nucleus? (c) The lithium nucleus is removed, and an electron is placed at location B. Now what is the value of the electric field at location B due to the proton? (d) What is the magnitude of the force on the electron? (e) Which arrow in Figure 13.65 best indicates the direction of the force on the electron due to the electric field?
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