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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

Two dipoles are oriented as shown in Figure 13.72. Each dipole consists of two charges +qand -q, held apart by a rod of length s, and the center of each dipole is a distance dfrom location A. If=2nC, s=1mmand d=8cm, what is the electric field at location A? (Hint: Draw a diagram and show the direction of each dipole鈥檚 contribution to the electric field on the diagram.)

2 In the region shown in Figure 13.64 there is an electric field due to charged objects not shown in the diagram. A tiny glass ball with a charge of5脳10-9Cplaced at location A experiences a force of(4脳10-5,-4脳105,0)N, as shown in the figure. (a) Which arrow in Figure 13.65 best indicates the direction of the electric field at location A? (b) What is the electric field at location A? (c) What is the magnitude of this electric field? (d) Now the glass ball is moved very far away. A tiny plastic ball with charge-6脳10-9Cis placed at location A. Which arrow in Figure 13.65 best indicates the direction of the electric force on the negatively charged plastic ball? (e) What is the force on the negative plastic ball? (f) You discover that the source of the electric field at location A is a negatively charged particle. Which of the numbered locations in Figure 13.64 shows the location of this negatively charged particle, relative to location A?

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?

What is the approximate radius of the electron cloud of a typical atom? Which of the following charged particles are constituents of ordinary matter? Protons, positrons, electrons, antiprotons, muons

A 螤鈭�(鈥減i-minus鈥�) particle, which has charge e-, is at location 鉄�7脳10鈭�9,鈥�鈭�4脳10鈭�9,鈥�鈭�5脳10鈭�9鉄�鈥尘.

(a) What is the electric field at location 鉄�鈭�5脳10鈭�9,鈥�5脳10鈭�9,鈥�4脳10鈭�9鉄�鈥尘, due to the 蟺 鈭� particle?

(b) At a particular moment an antiproton (same mass as the proton, chargee- ) is at the observation location. At this moment what is the force on the antiproton, due to the 螤鈭�?
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