Given:
- Amount of heat produced (Q) = 200 J
- Resistance (R) = 8 ohm
- Time (t) = 1 second

To find:
- Potential difference (V)
- Power (P)

Formulae:
- Joule's Law of Heating: Q = I^2 * R * t
- Ohm's Law: V = I * R
- Power formula: P = V * I

Solution:

1. Finding the current (I)
- Using Joule's Law of Heating:
Q = I^2 * R * t
200 = I^2 * 8 * 1
I^2 = 25
I = 5 A

2. Finding the potential difference (V)
- Using Ohm's Law:
V = I * R
V = 5 * 8
V = 40 V

3. Finding the power (P)
- Using the Power formula:
P = V * I
P = 40 * 5
P = 200 W

Therefore,
- The potential difference across the resistor is 40 V.
- The power produced by the resistor is 200 W.

Explanation:

- When a current flows through a resistor, some of the electrical energy is converted into heat energy due to the resistance of the material. This phenomenon is called Joule's Heating.
- Joule's Law of Heating states that the amount of heat produced is directly proportional to the square of the current, the resistance of the material, and the time for which the current flows.
- Ohm's Law states that the potential difference across a resistor is directly proportional to the current flowing through it and its resistance.
- The power produced by the resistor is the rate at which electrical energy is converted into heat energy. It is given by the product of the potential difference and the current flowing through it.