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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

If \({\bf{V = 0}}\) at a point in space, must \({\bf{\vec E = 0}}\) ? If \({\bf{\vec E = 0}}\) at some point, must \({\bf{V = 0}}\) at that point? Explain. Give examples for each.

(III) In the Bohr model of the hydrogen atom, an electron orbits a proton (the nucleus) in a circular orbit of radius \({\bf{0}}{\bf{.53 \times 1}}{{\bf{0}}^{{\bf{ - 10}}}}\;{\bf{m}}\). (a) What is the electric potential at the electron鈥檚 orbit due to the proton? (b) What is the kinetic energy of the electron? (c) What is the total energy of the electron in its orbit? (d) What is the ionization energy鈥� that is, the energy required to remove the electron from the atom and take it to \({\bf{r = }}\infty \), at rest? Express the results of parts (b), (c), and (d) in joules and eV.

(II) The work done by an external force to move a \( - {\bf{6}}{\bf{.50}}\;{\bf{\mu C}}\) charge from point A to point B is \({\bf{15}}{\bf{.0 \times 1}}{{\bf{0}}^{{\bf{ - 4}}}}\;{\bf{J}}\). If the charge was started from rest and had \({\bf{4}}{\bf{.82 \times 1}}{{\bf{0}}^{{\bf{ - 4}}}}\;{\bf{J}}\)of kinetic energy when it reached point B, what must be the potential difference between A and B?

(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?

Question:(III) Electrons are accelerated by 6.0 kV in a CRT. The screen is 30 cm wide and is 34 cm from the 2.6-cm-long deflection plates. Over what range must the horizontally deflecting electric field vary to sweep the beam fully across the screen?
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