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Chapter 3: Problem 3

If a conductor is electrically neutral, then \(\cdots \ldots\) a. net charge on it should be zero b. potential on it should be zero c. both charge and potential should be zero d. none of them may not be zero

Short Answer

Expert verified
The net charge on a neutral conductor should be zero (option a).

Step by step solution

01

Understanding Electrical Neutrality

When a conductor is said to be 'electrically neutral,' it means it has a balanced amount of positive and negative charges. These charges cancel each other out, resulting in no net charge on the conductor.
02

Examining the Options

a. Net charge should be zero - This means the total positive and negative charges balance each other out, making the net effect zero. b. Potential on it should be zero - This would mean there is no electric potential energy per unit charge at that point. Neutrality refers to net charge, not potential. c. Both charge and potential should be zero - As stated earlier, neutrality is about the net charge, not the potential. d. None of them may not be zero - This suggests that both net charge and potential can be non-zero, which defies the definition of neutrality.
03

Selecting the Correct Answer

Since electrically neutral specifically indicates zero net charge, option (a) is correct. Electrical neutrality does not inherently imply zero potential, so options b, c, and d are incorrect.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Net Charge
Net charge is a crucial concept when it comes to understanding electrical neutrality. When we talk about a conductor being electrically neutral, we are specifically referring to the idea of net charge. A conductor or any object has both positive and negative charges due to its atomic structure. These charges include protons (positive) and electrons (negative). For an object to be electrically neutral, these two types of charges must be balanced, meaning the number of protons and electrons are equal.
  • If the number of positive and negative charges is equal, they cancel each other out, leading to a net charge of zero.
  • This balanced condition occurs naturally in many everyday objects, which is why they do not exhibit any external electrical effects.
  • Net charge is always the sum of all positive and negative charges in a system.
Understanding this balance is essential in many physics and electrical engineering problems because it explains why certain objects don't react externally to electric fields or forces.
Potential
The concept of potential is about the electric potential energy per unit charge at a point in space. Often referred to simply as 'voltage,' potential is a measure of the work needed to move a charge within an electric field. In the context of a conductor, having zero net charge does not automatically mean the conductor has zero potential. The potential of a conductor is influenced not only by its charge but also by external factors, such as nearby charged objects or electric fields.
  • An electrically neutral conductor (zero net charge) can still have a non-zero potential due to its position relative to other charges.
  • Potential is relative; what we consider to be zero potential might differ based on the chosen reference point or grounding.
  • Understanding potential helps us determine how much energy an electrical system can store or transfer.
Thus, while net charge offers a basic insight into the internal balance of charges, potential gives us a broader picture of how energy is distributed in an electric context.
Conductors
Conductors are materials which allow free movement of electrons across their surface. This property makes conductors essential in transmitting electricity over distances efficiently. Common examples include metals like copper and aluminum. What sets conductors apart is their ability to maintain electrical neutrality even while facilitating charge movement.
  • Electrons are free to move within the material, which allows conductors to rapidly adjust to electric fields by redistributing surface charges.
  • Good conductors easily maintain their balance of positive and negative charges in response to external forces, ensuring stability.
  • This free flow of electrons is what distinguishes conductors from insulators, where electron movement is highly restricted.
Conductors are vital components in powering devices, creating circuit designs, and engineering solutions across various technological fields. Their ability to handle electric charge dynamics seamlessly is why they are integral to nearly every electronic system.

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Most popular questions from this chapter

A small conducting sphere of radius \(a\), carrying a charge of \(+Q\), is placed inside an equal and oppositely charged conducting shell of radius \(b\) such that their centers coincide. Determine the potential at a point at a distance of \(c\) from center such that \(a

We bave three identical metallic spheres \(A, B\), and \(C, A\) is given a charge \(Q\) and \(B\) and \(C\) are uncharged. The following processes of touching of two spheres is camied out in succession. Each process is carried out with sufficient time: i. \(A\) and \(B\) ii. \(B\) and \(C\) iii. \(C\) and \(A\) iv. \(A\) and \(B\) v. \(B\) and \(C\) The final charges on the spheres are a. \(\frac{11 Q}{32}, \frac{5 Q}{16}, \frac{11 Q}{32}\) b. \(\frac{11 Q}{32}, \frac{11 Q}{32}, \frac{5 Q}{16}\) C. \(\frac{8 Q}{8}, \frac{5 Q}{16}, \frac{5 Q}{16}\) d. \(\frac{5 Q}{16}, \frac{11 Q}{32}, \frac{11 Q}{32}\)

There is an infinite straight chain of alternating charges \(q\) and \(-q\). The distance between the two neighboring charges is equal to \(a\). Find the interaction energy of any charge with all the other charges. a. \(-\frac{2 q^{2}}{4 \pi \varepsilon_{0} a}\) b. \(\frac{2 q^{2} \log _{e} 2}{4 \pi \varepsilon_{0} a}\) c. \(-\frac{2 q^{2} \log _{e} 2}{4 \pi \varepsilon_{0} a}\) d. None of these

Two charged particles having charges 1 and \(-1 \mu \mathrm{C}\) and of mass \(50 \mathrm{gm}\) each arc held at rest while their separation is \(2 \mathrm{~m}\). Find the speed of the particles when their separation is \(1 \mathrm{~m}_{\text {. }}\) a. \(\frac{1}{5} \mathrm{~m} / \mathrm{s}\) b. \(\frac{3}{5} \mathrm{~m} / \mathrm{s}\) c. \(\frac{3}{10} \mathrm{~m} / \mathrm{s}\) d. \(\frac{2}{7} \mathrm{~m} / \mathrm{s}\)

Let \(V_{0}\) be the potential at the origin in an electric field \(\vec{E}=E_{x} \hat{i}+E_{y} \hat{j}\). The potential at the point \((x, y)\) is a. \(V_{0}-x E_{x}-y E_{y}\) b. \(V_{0}+x E_{x}+y E_{y}\) c. \(x E_{x}+y E_{y}-V_{0}\) d. \(\left(\sqrt{x^{2}+y^{2}}\right) \sqrt{E_{x}^{2}+E_{y}^{2}}-V_{0}\)
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