Answer:
Part a)

Part b)

Explanation:
Part a)
Electric field due to large sheet is given as


now the electric field is given as


Now acceleration of an electron due to this electric field is given as



Now work done on the electron due to this electric field



So work done is given as



Part b)
Now we know that work done by all forces = change in kinetic energy of the electron
so we will have



Answer:
(a) 43.2 kC
(b) 0.012V kWh
(c) 0.108V cents
Explanation:
<u>Given:</u>
- i = current flow = 3 A
- t = time interval for which the current flow =

- V = terminal voltage of the battery
- R = rate of energy = 9 cents/kWh
<u>Assume:</u>
- Q = charge transported as a result of charging
- E = energy expended
- C = cost of charging
Part (a):
We know that the charge flow rate is the electric current flow through a wire.

Hence, 43.2 kC of charge is transported as a result of charging.
Part (b):
We know the electrical energy dissipated due to current flow across a voltage drop for a time interval is given by:

Hence, 0.012V kWh is expended in charging the battery.
Part (c):
We know that the energy cost is equal to the product of energy expended and the rate of energy.

Hence, 0.108V cents is the charging cost of the battery.
Resistivity of nichrome is high.
The electron charge is equal to

. The atomic nucleus of the problem has a charge of

. The distance between the nucleus and the electron is

, so we can calculate the electrostatic (Coulomb) force between the two:


which is attractive, since the two charges have opposite sign.