A point charge is surrounded by a spherical gaussian surface of radius r. If the sphere is replaced by a cube of side r, will \({\phi _{\rm{E}}}\) be larger, smaller, or the same? Explain.

Short Answer

Expert verified

The electric flux \({\phi _{\rm{E}}}\) will be the same.

Step by step solution

01

Concepts used in the solution

The electric flux through any closed surface is\({\phi _{\rm{E}}} = \frac{Q}{{{\varepsilon _ \circ }}}\).

The electric flux depends on the charge inside the enclosed surface, not on the shape of the surface.

02

Explanation for the solution

You know the electric flux does not depend on the shape of the surface. So as the charge is the same inside both closed characters, then the change is the same.

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 Vaia!

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

(II) Determine the magnitude of the acceleration experienced by an electron in an electric field of\({\bf{756 N/C}}\).How does the direction of the acceleration depend on the direction of the field at that point?

(II) Two charged dust particles exert a force of\({\bf{4}}{\bf{.2 \times 1}}{{\bf{0}}^{{\bf{ - 2}}}}\;{\bf{N}}\)on each other. What will be the force if they are moved so they are only one-eighth as far apart?

Figure 16–50 shows electric field lines due to a point charge. What can you say about the field at point 1 compared with the field at point 2?

(a) The field at point 2 is larger, because point 2 is on a field line.

(b) The field at point 1 is larger, because point 1 is not on a field line.

(c) The field at point 1 is zero, because point 1 is not on a field line.

(d) The field at point 1 is larger, because the field lines are closer together in that region.

A negative point charge is in an electric field created by a positive point charge. Which of the following is true?

(a) The field points toward the positive charge, and the force on the negative charge is in the same direction as the field.

(b) The field points toward the positive charge, and the force on the negative charge is in the opposite direction to the field.

(c) The field points away from the positive charge, and the force on the negative charge is in the same direction as the field.

(d) The field points away from the positive charge, and the force on the negative charge is in the opposite direction to the field.

Swap the positions of \({Q_1}\) and \({Q_2}\) of Mis Conceptual Question 1. Which of the following is true of the force on \({Q_1}\) due to\({Q_2}\)?

(a) It does not change.

(b) It changes from attractive to repulsive.

(c) It changes from repulsive to attractive.

(d) It changes from \( + x\) the direction to the \( - x\) direction.

(e) It changes from the \( - x\) direction to the \( + x\) direction

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.

Sign-up for free