Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
105 views
in Physics by (115k points)
closed by
If a charged metallic sphere is cut into two unequal parts A and B such that the surface area of part A is more than part B, then the surface charged density of:
1. Part A will be more than part B
2. Part B will be more than part A
3. Part A and part B will be equal
4. can't say

1 Answer

0 votes
by (114k points)
selected by
 
Best answer
Correct Answer - Option 3 : Part A and part B will be equal

CONCEPT:

Linear charge density:

  • It is defined as the quantity of charge per unit length.
  • Its SI unit is C/m.
  • If ΔQ charge is contained in the line element Δl, the linear charge density λ will be,

\(\Rightarrow \lambda=\frac{\Delta Q}{\Delta l}\)

Surface charge density:

  • It is defined as the quantity of charge per unit area.
  • Its SI unit is C/m2.
  • If ΔQ charge is contained in the elemental area Δs, the surface charge density σ will be,

\(\Rightarrow \sigma=\frac{\Delta Q}{\Delta s}\)

Volume charge density:

  • It is defined as the quantity of charge per unit volume.
  • Its SI unit is C/m3.
  • If ΔQ charge is contained in the elemental volume Δv, the volume charge density ρ will be,

\(\Rightarrow \rho=\frac{\Delta Q}{\Delta v}\)

EXPLANATION:

  • We know that the charge given to a metallic body always distributed uniformly over the surface of the metallic body because the charge can flow in a metallic body.
  • So the surface charge density of a metallic body will always be uniform at all points on the surface.
  • Therefore when the metallic sphere is cut into two unequal parts A and B, the surface charged density of both the parts will be equal. Hence, option 3 is correct.

  • The charge density is a measure of how much electric charge is accumulated in a particular field. Specifically, it finds the charge density per unit volume, surface area, and length. Charge density depends on the distribution of charge and it can be positive or negative. 

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...