I have not done fields yet, but i reckon i can try and explain question 1 on electricity
Its useful to learn the definitions:
ELECTROMOTIVE FORCE, is the energy transferred per unit charge from a cell to the circuit... i.e. amount of energy that is converted to electrical energy per unit charge.
POTENTIAL DIFFERENCE, is the energy transferred per unit charge from the circuit to a component and converted to other forms.... i.e. the amount of electrical energy converted to other forms of energy per unit charge
Therefore,
from the definitions above:
Potential Difference = E/Q (e = energy, q = charge)
Learn the things above, they are useful for electricity
P = IV
Therefore,
V = P / I
therefore potential difference is a ratio of power dissipated to the current