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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 -9×10-10C 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 -4.23×10-7N.

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=-9×10-10C.
  • 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→=E→q

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

Substitute all the values in the above equation.

F→=470N/C-9×10-10C=-4.23×10-7N

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

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Most popular questions from this chapter

A water molecule is asymmetrical, with one end positively charged and other end negatively charged. It has a dipole moment whose magnitude is measure to be 6.2×10−30​C⋅m. If the dipole moment oriented perpendicularly to an electric field whose magnitude is4×105 ​N/m , what is the magnitude of torque on water molecule? Also, show that vector torque is equal to p→×E→,wherep→ is the dipole moment.

You are the captain of a spaceship. You need to measure the electric field at a specified location P in space outside your ship. You send a crew member outside with a meter stick, a stopwatch, and a small ball of known mass M and net charge +Q (held by insulating strings while being carried). (a) Write down the instructions you will give to the crew member, explaining what observations to make. (b) Explain how you will analyze the data that the crew member brings you to determine the magnitude and direction of the electric field at location P.

A charged particle located at the origin creates an electric field of <-1.2×103,0,0>N/Cat a location <0.12,0,0>m. What is the particle’s charge?

If the charge of the point charge in Figure 13.60 were -9Q(instead of Q):

(a) By what factor would the magnitude of the force on the point charge due to the dipole change? Express your answer as the ratio (magnitude of new force / magnitude of FV).

(b) Would the direction of the force change?

You make repeated measurements of the electric fieldE→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’t change for a while, but at timet=45nsyou observe a sudden change. How far away was the charge originally?
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