Electrical Energy Power

Step 1: Understanding the Concept:
This problem involves the heating effect of electric current, also known as Joule heating. When a potential difference is applied across a resistor, electrical energy is converted into thermal energy. We are given the energy, time, and voltage, and we need to find the resistance.

Step 2: Key Formula or Approach:
The electrical power dissipated in a resistor is the rate at which energy is converted. where is the energy and is the time.
The power dissipated in a resistor can also be expressed in terms of voltage and resistance : By combining these two formulas, we can solve for the resistance .

Step 3: Detailed Explanation:
Given data:
Thermal energy, .
Time, .
Potential difference, .
Calculation:
First, calculate the power dissipated by the resistor: Now, use the power formula involving voltage and resistance to find : Rearranging for : Substitute the given values:

Step 4: Final Answer:
The resistance of the resistor is 10 .