Which of the following are true? Check all that apply. (1) If the net electric field at a particular location inside a piece of metal is zero, the metal is not in equilibrium. (2) The net electric field inside a block of metal is zero under all circumstances. (3) The net electric field at any location inside a block of copper is zero if the copper block is in equilibrium. (4) The electric field from an external charge cannot penetrate to the center of a block of iron. (5) In equilibrium, there is a net flow of mobile charged particles inside a conductor.

Short Answer

Expert verified

The correct option is (3), The net electric field at any location inside a block of copper is zero if the copper block is in equilibrium.

Step by step solution

01

Significance of the electric field

The electric field is referred to as a region in which a charged particle can exert force on another charged particle.

The net electric field of the metal is zero when the metal is in the equilibrium state but in any other state, the net electric field of the metal cannot be zero.

02

Identification of the correct statement

Statement (1) is incorrect as the net electric field of the metal is zero when the metal is in the equilibrium state. But here, the metal is not in an equilibrium state.

Statement (2) is incorrect as in only equilibrium state, the net electric field in the metal is zero, except this, the net electric field is not zero.

Statement (4) is incorrect as the induced charges mainly cancel the different external fields but the external “electric field” is able to penetrate conductors and hence it can penetrate to the center of the block of iron.

Statement (5) is incorrect as no net electric field acts during the equilibrium state, hence, no force acts to move the different types of mobile charges and no flow of the mobile charges occurs.

Statement (3) is correct as the net electric field in the metal is zero when it is in an equilibrium state. So, the net electric field at any location inside a block of copper is zero if the copper block is in equilibrium (copper is a metal).

Thus, the correct option is (3), The net electric field at any location inside a block of copper is zero if the copper block is in equilibrium.

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Most popular questions from this chapter

Here is a variant of “charging by induction.” Place two uncharged metal objects so as to touch each other, one behind the other. Call them front object and back object. While you hold a charged comb in front of the front object, your partner moves away the back object (handling it through an insulator so as not to discharge it). Now you move the comb away. Explain this process. Use only labeled diagrams in your explanation (no prose!).

: A thin, hollow spherical plastic shell of radius \({\bf{R}}\)carries a uniformly distributed negative charge \({\bf{ - Q}}\). A slice through the plastic shell is shown in Figure 14.95. To the left of the spherical shell are four charges packed closely together as shown (the distance \({\bf{s}}\) is shown greatly enlarged for clarity). The distance from the center of the four charges to the center of the plastic shell is \({\bf{L}}\) , which is much larger than \({\bf{s}}\left( {{\bf{L}} \gg {\bf{s}}} \right)\). Remember that a uniformly charged sphere makes an electric field as though all the charge were concentrated at the center of the sphere.

(a)Calculate the \({\bf{x}}\) and \({\bf{y}}\) components of the electric field at location B, a distance \({\bf{b}}\) to the right of the outer surface of the plastic shell. Explain briefly, including showing the electric field on a diagram. Your results should not contain any symbols other than the given quantities \({\bf{R,Q,q,s,L}}\), and \({\bf{b}}\)(and fundamental constants). You need not simplify the final algebraic results except for taking into account the fact that \({\bf{L}} \gg {\bf{s}}\).

(b)What simplifying assumption did you have to make in part (a)?

(c)The plastic shell is removed and replaced by an uncharged metal ball, as in Figure 14.96. At location Ainside the metal ball, a distance \({\bf{b}}\)to the left of the outer surface of the ball, accurately draw and label the electric field\({{\bf{\vec E}}_{{\bf{ball}}}}\) due to the ball charges and the electric field \({{\bf{\vec E}}_{\bf{4}}}\) of the four charges. Explain briefly.

(d)Show the distribution of ball charges.

(e)Calculate the \({\bf{x}}\) and \({\bf{y}}\) components of the net electric field at location A.

The diagrams in Figure 14.98 show a sequence of events involving a small lightweight aluminum ball that is suspended from a cotton thread. In order to get enough information, you will need to read through the entire sequence of events described below before beginning to answer the questions. Before trying to select answers, you will need to draw your own diagrams showing the charge state of each object in each situation. (a) A small, lightweight aluminum ball hangs from a cotton thread. You touch the ball briefly with your fingers, then release it (Diagram 1 in Figure 14.98). Which of the diagrams in Figure 14.99 best shows the distribution of charge in and/or on the ball at this moment, using the diagrammatic conventions discussed in this chapter? (b) A block of metal that is known to be charged is now moved near the ball (Diagram 2 in Figure 14.98). The ball starts to swing toward the block of metal, as shown in Diagram 3 in Figure 14.98. Remember to read through the whole sequence before answering this question: Which of the diagrams in Figure 14.99 best shows the distribution of charge in and/or on the ball at this moment? (c) The ball briefly touches the charged metal block (Diagram 4 in Figure 14.98). Then the ball swings away from the block and hangs motionless at an angle, as shown in Diagram 5 in Figure 14.98. Which of the diagrams in Figure 14.99 best shows the distribution of charge in and/or on the ball at this moment? (d) Finally, the block is moved far away. A negatively charged rod is brought near the ball. The ball is repelled by the charged rod, as shown in Diagram 6 in Figure 14.98. Which of the diagrams in Figure 14.99 best shows the distribution of charge in and/or on the ball at this moment?

If the distance between a neutral atom and a point charge is tripled, by what factor does the force on the atom by the point charge change? Express your answer as a ratio: new force/original force.

A student asked, "Since the positive nucleus of the atom is hidden inside a negative electron cloud, why doesn't all matter appear to be negatively charged?" Explain to the student the flaw in this reasoning.

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