Single Choice

A charge q is located at the centre of a cube.The electric flux through any face is -

A$$\frac{2\pi q}{6(4\pi \varepsilon _{0})}$$
B
Correct Answer
C$$\frac{4\pi q}{6(4\pi \varepsilon _{0})}$$
D$$\frac{q}{6(4\pi \varepsilon _{0})}$$

Solution

$$EA=\dfrac{q}{\epsilon_0}$$ where A is total surface area of cube=$$6a^2$$ ,
So $$Ea^2=\dfrac{q}{6\epsilon_0}$$

SIMILAR QUESTIONS

Electrostatics

The dimensional formula for electric flux is

Electrostatics

A charge $$Q$$ is uniformly distributed over a rod of length $$l$$. Consider a hypothetical cube of edge $$l$$ with the centre of the cube at one end of the rod. Find the minimum possible flux of the electric field through the entire surface of the cube.

Electrostatics

Total flux produced by a source of $$1cd$$ is :

Electrostatics

An arbitrary surface encloses a dipole. What is the electric flux through this surface ?

Electrostatics

Answer the following Questions. (i) Define electric flux. Write its $$SI$$ units. (ii) A spherical rubber balloon carries a charge that is uniformly distributed over its surface. As the balloon is blown up and increases in size, how does the total electric flux coming out of the surface change? Give reason.

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