472
11 Electrostatics
(i) What is the force on the electron while it is between the plates?
(ii) What is its acceleration and with what speed does it leave the hole?
(iii) What is the force on the electron outside of the plates?
[University of Aberystwyth, Wales 2005]
11.45 What is the electric potential V at a distance r from a point charge Q? Write
down an expression describing the electric potential due to a continuous
charge distribution.
Consider a disk of radius R which carries a uniform surface charge distribution.
(a) Find the total charge on the disc.
(b) Find the potential at a point on the axis of the disc lying at a distance x
from the disc.
(c) What is the form of the potential when x becomes much larger than R?
Comment on your result.
Fig. 11.9
11.46 In the Bohr’s hydrogen atom model, show that the orbital motion of the electron obeys Kepler’s third law of motion, that is, T 2 ∝ r 3 .
11 Electrostatics
(i) What is the force on the electron while it is between the plates?
(ii) What is its acceleration and with what speed does it leave the hole?
(iii) What is the force on the electron outside of the plates?
[University of Aberystwyth, Wales 2005]
11.45 What is the electric potential V at a distance r from a point charge Q? Write
down an expression describing the electric potential due to a continuous
charge distribution.
Consider a disk of radius R which carries a uniform surface charge distribution.
(a) Find the total charge on the disc.
(b) Find the potential at a point on the axis of the disc lying at a distance x
from the disc.
(c) What is the form of the potential when x becomes much larger than R?
Comment on your result.
Fig. 11.9
11.46 In the Bohr’s hydrogen atom model, show that the orbital motion of the electron obeys Kepler’s third law of motion, that is, T 2 ∝ r 3 .