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Chapter 15: Q7Q (page 616)

When calculating the electric field of an object with electric charge distributed approximately uniformly over its surface, what is the order in which you should do the following operations? (1) Check the direction and units. (2) Write an expression for the electric field due to one point-like piece of the object. (3) Divide up the object into small pieces of a shape whose field is known. (4) Sum the vector contributions of all the pieces.

Short Answer

Expert verified

Answer

The order of doing the following operation is (3)-(2)-(4)-(1).

Step by step solution

01

Significance of an electric charge

The electric charge is described as the physical property of a matter that helps to induce a force when placed inside a particular electromagnetic field. There are two types of the electric charges mainly positive and negative charges.

02

Determination of the right order of doing the operations

The first and the foremost step for calculating the electric field of an object is to divide the objects into small pieces whose electric field is known. The second step write the expression of the electric field of that object. The third step is adding the vector contributions of the pieces. The final step is to checking the units and directions in order to check the results.

Thus, the order of doing the following operation is (3)-(2)-(4)-(1).

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Most popular questions from this chapter

A capacitor consists of two large metal disks of radius 1.1 m placed parallel to each other, a distance of 1.2 mm apart. The capacitor is charged up to have an increasing amount of charge +Q on one disk and −Q on the other. At about what value of Q does a spark appear between the disks?

A thin circular sheet of glass of diameter 3 m is rubbed with a cloth on one surface and becomes charged uniformly. A chloride ion (a chlorine atom that has gained one extra electron) passes near the glass sheet. When the chloride ion is near the center of the sheet, at a location 0.8 mm from the sheet, it experiences an electric force of 5 × 10−15 N, toward the glass sheet. It will be useful to you to draw a diagram on paper, showing field vectors, force vectors, and charges, before answering the following questions about this situation. Which of the following statements about this situation are correct? Select all that apply. (1) The electric field that acts on the chloride ion is due to the charge on the glass sheet and to the charge on the chloride ion. (2) The electric field of the glass sheet is equal to the electric field of the chloride ion. (3) The charged disk is the source of the electric field that causes the force on the chloride ion. (4) The net electric field at the location of the chloride ion is zero. (5) The force on the chloride ion is equal to the electric field of the glass sheet. In addition to an exact equation for the electric field of a disk, the text derives two approximate equations. In the current situation we want an answer that is correct to three significant figures. Which of the following is correct? We should not use an approximation if we have enough information to do an exact calculation. (1) R≫z, so it is adequate to use the most approximate equation here. (2) z is nearly equal to R, so we have to use the exact equation. (3) z≪R, so we can’t use an approximation. How much charge is on the surface of the glass disk? Give the amount, including sign and correct units

A rod is 2.5m long. Its charge is -2×10-7C. The observation location is 4cm from the rod, in the mid plane. In the expression

E=14πε0Qrr2+(L2)2

what isr in meters?

Consider the algebraic expression for the electric field of a uniformly charged ring, at a location on the axis of the ring. Q is the charge on the entire ring, and ∆Qis the charge on one piece of the ring. ∆θis the angle subtended by one piece of the ring (or, alternatively, ∆ris the arc length of one piece). What is∆Q, expressed in terms of given constants and an integration variable? What are the integration limits?

A thin plastic spherical shell of radius 5 cmhas a uniformly distributed charge of -25nCon its outer surface. A concentric thin plastic spherical shell of radius 8 cmhas a uniformly distributed charge of+64nC on its outer surface. Find the magnitude and direction of the electric field at distances of, 3 cm, 7 cm and 10 cmfrom the center. See Figure 15.63.
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