Electric Charges And Fields

Question

Given a uniform electric field E =5 ×10^{3 $straight i with hat on top$}N/C, find the flux of this field through a square of 10 cm on a side whose plane is parallel to the y-z plane. What would be the flux through the same square if the plane makes a 30° angle with the x-axis?

Solution

Given, Electric flux, $E with rightwards arrow on top space equals space space 5 space cross times 10 cubed i with hat on top$
$Error converting from MathML to accessible text.$

We have, Electric flux, ϕ = E.A = $Error converting from MathML to accessible text.$
= 50 Weber

When the plane makes a 30° angle with the x-axis, the area vector makes 60° with the x-axis

ϕ = E. A

⇒ ϕ=EA cos θ

⇒ ϕ= (5×10³)(10⁻²) cos 60°

⇒ ϕ= $50 over 2$

⇒ ϕ = 25 Weber

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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Electric Charges And Fields

Given a uniform electric field E =5 ×10^{3 $straight i with hat on top$}N/C, find the flux of this field through a square of 10 cm on a side whose plane is parallel to the y-z plane. What would be the flux through the same square if the plane makes a 30° angle with the x-axis?

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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NCERT Sample Papers

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For Daily Free Study Material Join wiredfaculty

Electric Charges And Fields

Given a uniform electric field E =5 ×103 N/C, find the flux of this field through a square of 10 cm on a side whose plane is parallel to the y-z plane. What would be the flux through the same square if the plane makes a 30° angle with the x-axis?

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

Given a uniform electric field E =5 ×10^{3 $straight i with hat on top$}N/C, find the flux of this field through a square of 10 cm on a side whose plane is parallel to the y-z plane. What would be the flux through the same square if the plane makes a 30° angle with the x-axis?

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?