Question:
Five charges \( +q, +5q, -2q, +3q \) and \( -4q \) are situated as shown in the figure. The electric flux due to this configuration through the surface S is:
Five charges \( +q, +5q, -2q, +3q \) and \( -4q \) are situated as shown in the figure. The electric flux due to this configuration through the surface S is:
Show Hint
Gauss’s Law states that the total electric flux through a closed surface depends only on the net charge enclosed within the surface.
Updated On: Apr 30, 2026
- \( \frac{5q}{\epsilon_0} \)
- \( \frac{4q}{\epsilon_0} \)
- \( \frac{3q}{\epsilon_0} \)
- \( \frac{q}{\epsilon_0} \)
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Gauss's Law
According to Gauss's Law, the total electric flux \( \Phi_E \) through a closed surface is given by: \[ \Phi_E = \frac{Q_{\text{enc}}}{\epsilon_0} \] where \( Q_{\text{enc}} \) is the total charge enclosed within the closed surface.
Step 2: Calculating the Net Charge Enclosed
The charges enclosed inside the closed surface are: \[ q, -2q, +5q \] Adding them together: \[ Q_{\text{enc}} = q + (-2q) + 5q = 4q \]
Step 3: Finding the Flux
Using Gauss's Law: \[ \Phi_E = \frac{Q_{\text{enc}}}{\epsilon_0} = \frac{4q}{\epsilon_0} \]
Final Answer: The electric flux through the closed surface is \( \frac{4q}{\epsilon_0} \).
Was this answer helpful?
2
1
Top VITEEE Physics Questions
- A motor of power $P_0$ is used to deliver water at a certain rate through a given horizontal pipe. To increase the rate of flow of water through the same pipe $n$ times, the power of the motor is increased to $P_1$. The ratio of $P_1 $ to $P_0$ is
- A $30\,V-90\,W$ lamp is operated on a $120\,V$ DC line. A resistor is connected in series with the lamp in order to glow it properly. The value of resistance is
- The masses of three copper wires are in the ratio $2 : 3 : 5$ and their lengths are in the ratio $5 : 3 : 2$ .Then, the ratio of their electrical resistances is
- A soap bubble of radius $r$ is blown up to form a bubble of radius $2 r$ under isothermal conditions. If $T$ is the surface tension of soap solution, the energy spent in the blowing
- A large number of liquid drops each of radius r coalesce to from a single drop of radius R. The energy released in the process is converted into kinetic energy of the big drop so formed. The speed of the big drop is (given, surface tension of liquid T, density $\rho$)
View More Questions
Top VITEEE Electrostatics Questions
- A parallel plate capacitor with plate area \(A\) and separation \(d\) is filled with a dielectric of constant \(K\). The capacitance becomes:
- In nature, the electric charge of any system is always equal to
- The energy stored in the capacitor as shown in Fig. (a) is \(4.5\times 10^{-6}\) J. If the battery is replaced by another capacitor of 900 pF as shown in Fig. (b), then the total energy of system is
- If the force exerted by an electric dipole on a charge \(q\) at a distance of 1 m is \(F\), the force at a point 2 m away in the same direction will be
- A solid sphere of radius \(R_1\) and volume charge density \(\rho = \frac{\rho_0}{r}\) is enclosed by a hollow sphere of radius \(R_2\) with negative surface charge density \(\sigma\), such that the total charge in the system is zero. \(\rho_0\) is a positive constant and \(r\) is the distance from the centre of the sphere. The ratio \(\frac{R_2}{R_1}\) is
View More Questions
Top VITEEE Questions
- A motor of power $P_0$ is used to deliver water at a certain rate through a given horizontal pipe. To increase the rate of flow of water through the same pipe $n$ times, the power of the motor is increased to $P_1$. The ratio of $P_1 $ to $P_0$ is
- A $30\,V-90\,W$ lamp is operated on a $120\,V$ DC line. A resistor is connected in series with the lamp in order to glow it properly. The value of resistance is
- Which of the following is not a characteristic of transition elements ?
- Most crystals show good cleavage because their atoms, ions or molecules are
- Which of the following sets consists only of essential amino acids ?
View More Questions