For a charged plane sheet, if the surface charge density is doubled, what happens to the electric field?
Practice Questions
1 question
Q1
For a charged plane sheet, if the surface charge density is doubled, what happens to the electric field?
It remains the same
It doubles
It halves
It quadruples
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.
Questions & Step-by-step Solutions
1 item
Q
Q: For a charged plane sheet, if the surface charge density is doubled, what happens to the electric field?
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.
Steps: 5
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.
