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Chapter 23: Q. 22 (page 654)

Two circular disks spaced0.50mmapart form a parallel-plate capacitor. Transferring3.0×109electrons from one disk to the other causes the electric field strength to be2.0×105N/C. What are the diameters of the disks?

Short Answer

Expert verified

Diameter of disk is1.85cm.

Step by step solution

01

Formula for area and Electric field intensity

Electric field between capacitor is2×105N/C

Charge is3×109charge of electron.

Q=3×109×1.6×10-19C

Area of circle of radiusris,

A=πr2........1

Electric field due to parallel plate capacitor is,

E=QϵoA............2

02

Calculation for radius of disk

Substitute equation1in equation2then value ofris given by,

E=Qϵoπr2

r2=QϵOπE

r=QϵoπE

=3×109×1.6×10-19Cπ8.85×10-12C2/N·m22×105N/C

r=9.29×10-3m

03

Calculation for diameter of disk

Substitute r=9.29×10-3min below formula,

D=2r

D=2×(9.29×10-3)

D=1.85cm

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Most popular questions from this chapter

FIGURE shows a thin rod of length Lwith total charge Q.

a. Find an expression for the electric field strength at point Pon the axis of the rod at distance rfrom the center.

b. Verify that your expression has the expected behavior if r≫L.

c. Evaluate Eat r=3.0cmif L=5.0cmand Q=3.0nC.

A thin cylindrical shell of radius Rand length L, like a soda straw, is uniformly charged with surface charge density η. What is the electric field strength at the center of one end of the cylinder?

The irregularly shaped area of charge in FIGURE Q23.7 has surface charge densityηi. Each dimension (x and y) of the area is reduced by a factor of 3.163.

a. What is the ratio ηf/ηi , where ηfis the final surface charge density?

b. An electron is very far from the area. What is the ratioFf/Fi of the electric force on the electron after the area is reduced to the force before the area was reduced?

One type of ink-jet printer, called an electrostatic ink-jet printer, forms the letters by using deflecting electrodes to steer charged ink drops up and down vertically as the ink jet sweeps horizontally across the page. The ink jet forms30μm diameter drops of ink, charges them by spraying 800,000 electrons on the surface, and shoots them toward the page at a speed of 20m/s. Along the way, the drops pass through two horizontal, parallel electrodes that are 6.0mmlong,4.0mm wide, and spaced 1.0mm apart. The distance from the center of the electrodes to the paper is 2.0cm. To form the tallest letters, which have a height of 6.0mm, the drops need to be deflected upward (or downward) by 3.0mm. What electric field strength is needed between the electrodes to achieve this deflection? Ink, which consists of dye particles suspended in alcohol, has a density of 800kg/m3 .

Reproduce FIGURE Q23.2on your paper. For each part, draw a dot or dots on the figure to show any position or positions (other than infinity) where →E=→0.
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