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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

Coulombโ€™s law says that electric field falls off like 1/z2. How can Efor a uniformly charged disk depend on [1-z/R], or be independent of distance?

Consider a thin glass rod of length L lying along the x axis with one end at the origin. The rod carries a uniformly distributed positive charge Q.

At a location d > L, on the x axis to the right of the rod in Figure 15.56, what is the electric field due to the rod? Follow the standard four steps. (a) Use a diagram to explain how you will cut up the charged rod, and draw the contributed by a representative piece. (b) Express algebraically the contribution each piece makes to the electric field. Be sure to show your integration variable and its origin on your drawing. (c) Write the summation as an integral, and simplify the integral as much as possible. State explicitly the range of your integration variable. Evaluate the integral. (d) Show that your result is reasonable. Apply as many tests as you can think of

What is wrong with Figure 15.35 and this associated incorrect student explanation? โ€œThe electric field at location inside the uniformly charged sphere points in the direction shown, because the charges closest to this location have the largest effect.โ€ (Spheres provide the most common exception to the normally useful rule that the nearest charges usually make the largest contribution to the electric field.)

Question: A thin hollow spherical glass shell of radius carries a uniformly distributed positive charge +6ร—10-9C, as shown in Figure 15.65. To the right of it is a horizontal permanent dipole with charges +3ร—10-11and -3ร—10-11separated by a distance (the dipole is shown greatly enlarged for clarity). The dipole is fixed in position and is not free to rotate. The distance from the center of the glass shell to the center of the dipole is 0.6 m.

(a) Calculate the net electric field at the center of the glass shell. (b) If the sphere were a solid metal ball with a charge , what would be the net electric field at its center? (c) Draw the approximate charge distribution in and/or on the metal sphere.

Define โ€œfringe field.โ€

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