Advertisements
Advertisements
Question
Calculate potential on the axis of a disc of radius R due to a charge Q uniformly distributed on its surface.
Advertisements
Solution
`σ = Q/(piR^2)`
`dU = 1/(4piε_0) (σ . 2pirdr)/sqrt(r^2 + z^2)`
∴ U = `(piσ)/(4piε_0) int_O^R (2rdr)/sqrt(r^2 + z^2)`
= `(2piσ)/(4piε_0) [sqrt(r^2 + z^2)]_O^R`
= `(2piσ)/(4piε_0) [sqrt(R^2 + z^2) - z]`
= `(2Q)/(4piε_0R^2) [sqrt(R^2 + z^2) - z]`
APPEARS IN
RELATED QUESTIONS
Draw a plot showing the variation of (i) electric field (E) and (ii) electric potential (V) with distance r due to a point charge Q.
Can two equi-potential surfaces intersect each other? Give reasons.
A hollow metal sphere and a solid metal sphere of equal radii are given equal charges. Which of the two will have higher potential?
Electric Potential V at a point in an electrical field is ______.
Electric potential is potential energy ______.
Electric potential at a distance r from a point charges q is _________.
The electric potential inside a conducting sphere ______.
Which of the following about potential at a point due to a given point charge is true?
The potential at a point P due to a given point charge ______.
In a certain region of space, the electric field is zero. From this fact, what can you conclude about the electric potential in this region?
The electric potential at the surface of an atomic nucleus (Z = 50) of radius 9.0 × 10-15m is
Calculate potential on the axis of a ring due to charge Q uniformly distributed along the ring of radius R.
