For a charged plane sheet, if the surface charge density is doubled, what happen

₹0.0

Question: For a charged plane sheet, if the surface charge density is doubled, what happens to the electric field?

Options:

Correct Answer: It doubles

Solution:

The electric field due to a charged plane sheet is directly proportional to the surface charge density. Therefore, if σ is doubled, E also doubles.

For a charged plane sheet, if the surface charge density is doubled, what happens to the electric field?

For a charged plane sheet, if the surface charge density is doubled, what happens to the electric field?

Correct Answer: Electric field doubles.

Step 1: Understand what surface charge density (σ) means. It is the amount of charge per unit area on the sheet.
Step 2: Know that the electric field (E) created by a charged plane sheet depends on the surface charge density.
Step 3: Remember the relationship: Electric field (E) is directly proportional to surface charge density (σ). This means if you change σ, E changes in the same way.
Step 4: If the surface charge density (σ) is doubled, it means you have twice as much charge on the same area.
Step 5: Since E is directly proportional to σ, if σ is doubled, the electric field (E) will also double.

Electric Field of a Charged Plane Sheet – The electric field generated by an infinite plane sheet of charge is given by E = σ / (2ε₀), where σ is the surface charge density and ε₀ is the permittivity of free space.
Proportionality of Electric Field to Surface Charge Density – The electric field strength is directly proportional to the surface charge density, meaning that any change in σ will result in a corresponding change in E.