Question

Consider the charge configuration and a spherical gaussian surface as shown in the figure. When calculating the flux of the electric field over the spherical surface, the electric field will be due to (a) $q_{2}$ (b) only the positive charges (c) all the charges (d) $+q_{1}$ and $-q_{1}$

Name: Problem 23, Chapter 17: Master Resource Book in JEE Main Physics
Uploaded: 2022-01-29T13:05:37-08:00
Duration: 1 min 44 s
Channel: Prem Bijarniya
Description: Consider the charge configuration and a spherical gaussian surface as shown in the figure. When calculating the flux of the electric field over the spherical surface, the electric field will be due to (a) q2 (b) only the positive charges (c) all the charges (d) +q1 and -q1

   Consider the charge configuration and a spherical gaussian surface as shown in the figure. When calculating the flux of the electric field over the spherical surface, the electric field will be due to
(a) $q_{2}$
(b) only the positive charges
(c) all the charges
(d) $+q_{1}$ and $-q_{1}$

Master Resource Book in JEE Main Physics

D. B. Singh 1st Edition

Chapter 17, Problem 23

Instant Answer

Solved by Expert Prem Bijarniya

01/29/2022

Step 1

In this case, the Gaussian surface is a sphere that encloses all the charges. Therefore, the electric field contributing to the flux will be due to all the charges enclosed by the Gaussian surface. Show more…

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Consider the charge configuration and a spherical gaussian surface as shown in the figure. When calculating the flux of the electric field over the spherical surface, the electric field will be due to (a) $q_{2}$ (b) only the positive charges (c) all the charges (d) $+q_{1}$ and $-q_{1}$

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Key Concepts

Gauss's Law

Gauss's law relates the net electric flux through a closed surface to the total charge enclosed by that surface. This principle is essential because it tells us that only the charge within the closed surface contributes to the net flux, even though charges outside may contribute to the local electric field.

Electric Flux

Electric flux is the measure of the number of electric field lines passing through a given surface. It is calculated by taking the integral of the electric field over the surface and, according to Gauss's law, is directly proportional to the enclosed charge.

Gaussian Surface

A Gaussian surface is an imaginary closed surface used as a tool in applying Gauss's law. The choice of this surface leverages symmetry in the charge distribution, simplifying the calculation of the electric field and ensuring that only the enclosed charges affect the net electric flux.

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