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Chapter 17: Q4MCQ (page 473)

Which of the following statements is valid?

(a) If the potential at a particular point is zero, the field at that point must be zero.

(b) If the field at a particular point is zero, the potential at that point must be zero.

(c) If the field throughout a particular region is constant, the potential throughout that region must be zero.

(d) If the potential throughout a particular region is constant, the field throughout that region must be zero.

Short Answer

Expert verified

The correct answer is option (d) If the potential throughout a particular region is constant, the field throughout that region must be zero.

Step by step solution

01

Relationship between electric field and electric potential

One of the significant misinterpretations about the electric field is that it is directly proportional to the electric potential. However, the electric field is proportional to the variation in electric potential.

02

Evaluation of the electric field and potential at a particular point

Since the electric potential midway between equal and opposite electric charges is zero, the electric field is non-zero. It is known that change in electric potential relies on the electric field, so when the potential through a certain region remains unchanged, the electric field throughout that region should be zero.

Thus, the correct option is (d).

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Most popular questions from this chapter

Question: (II) A 3500-pF air-gap capacitor is connected to a 32-V battery. If a piece of mica is placed between the plates, how much charge will flow from the battery?

The parallel plates of an isolated capacitor carry opposite charges, Q. If the separation of the plates is increased, is a force required to do so? Is the potential difference changed? What happens to the work done in the pulling process?

(II) An electric field of \({\bf{8}}{\bf{.50 \times 1}}{{\bf{0}}^{\bf{5}}}\;{\bf{V/m}}\) is desired between two parallel plates, each of area \({\bf{45}}{\bf{.0}}\;{\bf{c}}{{\bf{m}}^{\bf{2}}}\) and separated by 2.45 mm of air. What charge must be on each plate?

Draw in a few equipotential lines in Fig. 16–32b and c.

FIGURE 16-32

A dielectric is pulled out from between the plates of a capacitor which remains connected to a battery. What changes occur to (a) the capacitance, (b) the charge on the plates, (c) the potential difference, (d) the energy stored in the capacitor, and (e) the electric field? Explain your answers.
See all solutions

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