A point charge + 10 μC is a distance 5 cm directly above the centre of a square of side 10 cm, as shown in Fig. What is the magnitude of the electric flux through the square? (Hint: Think of the square as one face of a cube with edge 10 cm).

Solution

Let us assume that the charge q = + 10 μC = 10^–5 C is placed at a distance of 5 cm from the square ABCD of each side 10 cm.
The square ABCD can be considered as one of the six faces of a cubic Gaussian surface of each side 10 cm.

Now, the total electric flux through the faces of the cube as per Gaussian theorem

$φ = \frac{q}{ε_{\circ}}$

Therefore, the total electric flux through the square ABCD will be

$ϕ_{E} = \frac{1}{6} \times ϕ = \frac{1}{6} \times \frac{q}{ε_{0}} = \frac{1}{6} \times \frac{10^{- 5}}{8.854 \times 10^{- 12}} = 1.88 \times 10^{5} N m^{2} C^{- 1}$

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Electric Charges And Fields

A point charge + 10 μC is a distance 5 cm directly above the centre of a square of side 10 cm, as shown in Fig. What is the magnitude of the electric flux through the square? (Hint: Think of the square as one face of a cube with edge 10 cm).

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?

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For Daily Free Study Material Join wiredfaculty

Electric Charges And Fields

A point charge + 10 μC is a distance 5 cm directly above the centre of a square of side 10 cm, as shown in Fig. What is the magnitude of the electric flux through the square? (Hint: Think of the square as one face of a cube with edge 10 cm).

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?b) Explain why two field lines never cross each other at any point?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?