A hollow sphere is charged to 14 µC. Find the potential (a) at its surface (b) inside the sphere (c) at a distance of 0.2m from the surface. The radius of the sphere is 0.3m. (Answer 42 x 10⁴ V, 42 x 10⁴ V, 25.2 x 10⁴ V)
Given:
Hollow sphere of charge = q = 14 x 10⁻⁶ C
Radius of sphere = r = 0.3 m
Distance = d = 0.2 m
∴ Coulomb's Constant = K = `\frac {1}{4ㄫε_0}` = 9 x 10⁹ N m² C⁻²
To Find:
(a) Potential at the surface of sphere = `V_s` = ?
(b) Potential inside of sphere = `V_i` = ?
(c) Potential at distance d = `V_d` = ?
Solution:
The General formula for finding potential V is
V = k `\frac {q}{r}`
(a) Potential at the surface of sphere = `V_s` = ?
The charge distributes itself equally on the surface as well as inside the sphere, so
`V_s` = `V_i` = 42 x 10⁴ N m C⁻¹
(c) Potential at distance d = 0.2 m away from sphere:
Here the total distance r' = distance d + radius r
r' = 0.2 m + 0.3 m = 0.5 m
now
`V_s` = k `\frac {q}{r'}`
putting values
`V_d` = 9 x 10⁹ N m² C⁻² x `\frac {14 x 10⁻⁶ C
}{0.5 m}`
}{0.5 m}`
`V_d` = 9 x 10⁹ N m² C⁻² x 28 x 10⁻⁶ C m⁻¹
`V_d` = 252 x 10⁹⁻⁶ N m C⁻¹
`V_d` = 252 x 10³ N m C⁻¹
or
`V_d` = 25.2 x 10⁴ N m C⁻¹ ------------------Ans.
************************************
************************************
Shortcut Links For
1. Website for School and College Level Physics 2. Website for School and College Level Mathematics 3. Website for Single National Curriculum Pakistan - All Subjects Notes
© 2022-Onwards by Academic Skills and Knowledge (ASK)
Note: Write me in the comment box below for any query and also Share this information with your class-fellows and friends.
1. Website for School and College Level Physics
2. Website for School and College Level Mathematics
3. Website for Single National Curriculum Pakistan - All Subjects Notes
© 2022-Onwards by Academic Skills and Knowledge (ASK)
Note: Write me in the comment box below for any query and also Share this information with your class-fellows and friends.
0 Comments
If you have any QUESTIONs or DOUBTS, Please! let me know in the comments box or by WhatsApp 03339719149