The red lines are the electric field vector at the surface of cylinder – Free A2

the red lines are the electric field vector at the surface of cylinder. what is the sign of electric flux

Answer

Understanding the Sign of Electric Flux on a Cylinder

🔌 Sign of Electric Flux through a Cylindrical Surface

📘 Concept of Electric Flux

Electric flux is a measure of the number of electric field lines passing through a given surface. It quantifies the total electric field penetrating through a surface and is defined by the formula:

ΦE = E · A = EA cosθ

  • E: Electric field strength
  • A: Area vector (perpendicular to the surface)
  • θ: Angle between electric field vector and area vector

🧲 Interpreting the Red Field Lines

When red lines represent the electric field vectors at the surface of a cylinder:

  • If the field lines are pointing outward from the surface, the electric flux is positive.
  • If the field lines are pointing inward toward the surface, the electric flux is negative.
  • If the number of lines entering equals the number leaving, the net electric flux is zero.

✅ Final Answer

If all the red electric field vectors are directed inward on the surface of the cylinder, then the electric flux is:

➤ Negative

This is because electric flux is considered negative when the electric field vectors are directed opposite to the outward area vector of the surface.

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