/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q2MCQ Two identical positive charges a... [FREE SOLUTION] | 91影视

91影视

Two identical positive charges are placed near each other. At the point halfway between the two charges,

(a) the electric field is zero and the potential is positive.

(b) the electric field is zero and the potential is zero.

(c) the electric field is not zero and the potential is positive.

(d) the electric field is not zero and the potential is zero.

(e) None of these statements is true.

Short Answer

Expert verified

The correct answer is option (a) the electric field is zero and the potential is positive.

Step by step solution

01

Understanding electric field

The electric field at a particular point halfway among the two positive charges is the sum of the electric fields from each positive charge.

02

Evaluation of the electric field and electric potential

The electric field at any point due to a point charge is given by,

\(\overrightarrow E = \frac{{kQ}}{{{r^2}}}\hat r\)

Here, k is the Coulomb鈥檚 constant, Q is the charge and r is the distance.

The electric field is a vector quantity. At the midpoint between the two charges, the magnitude of the electric field is the same but opposite in direction. Therefore, due to both charges, the electric field is added up to give zero at the midpoint.

The electric potential is given as:

\(V = \frac{{kQ}}{r}\)

Electric potential is a scalar quantity. The electric potential due to a positive point charge is positive. So, the electric potential due to both the charges will add up to give a positive value of the electric potential at the point halfway between the two charges.

Thus, the correct option is (a).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In the dynamic random access memory (DRAM) of a computer, each memory cell contains a capacitor for charge storage. Each of these cells represents a single binary bit value of 鈥1鈥 when its 35-fF capacitor \(\left( {{\bf{1}}\;{\bf{fF = 1}}{{\bf{0}}^{{\bf{ - 15}}}}\;{\bf{F}}} \right)\) is charged at 1.5 V, or 鈥0鈥 when uncharged at 0 V.

(a) When fully charged, how many excess electrons are on a cell capacitor鈥檚 negative plate?

(b) After charge has been placed on a cell capacitor鈥檚 plate, it slowly 鈥渓eaks鈥 off at a rate of about \({\bf{0}}{\bf{.30}}\;{\bf{fC/s}}\). How long does it take for the potential difference across this capacitor to decrease by 2.0% from its fully charged value? (Because of this leakage effect, the charge on a DRAM capacitor is 鈥渞efreshed鈥 many times per second.) Note: A DRAM cell is shown in Fig. 21鈥29.

Can a particle ever move from a region of low electric potential to one of high potential and yet have its electric potential energy decrease? Explain.

Question: (II) How much energy is stored by the electric field between two square plates, 8.0 cm on a side, separated by a 1.5-mm air gap? The charges on the plates are equal and opposite and of magnitude \({\bf{370}}\;{\bf{\mu C}}\).

Question: A \({\bf{3}}{\bf{.4}}\;{\bf{\mu C}}\) and a \({\bf{ - 2}}{\bf{.6}}\;{\bf{\mu C}}\) charge are placed 2.5 cm apart. At what points along the line joining them is (a) the electric field zero, and (b) the electric potential zero?

If a negative charge is initially at rest in an electric field, will it move toward a region of higher potential or lower potential? What about a positive charge? How does the potential energy of the charge change in each instance? Explain.

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.