A charge of flows through a conductor at a potential difference of for one hour. What is the magnitude of heat energy produced?
Step 1: Given data and formula used
Given data:
Formula:
To find out the amount of heat energy produced, we must know the value of resistance and for that, we have to calculate the current flowing through a conductor.
The formula to calculate the current flowing through the conductor is
Step 2: Finding the value of current
Substituting the values of charge and time into the formula to calculate the current.
Step 3: Finding the value of resistance
According to Ohm's law, the relationship between potential difference and current is given by
Where is the resistance,
Also, it can be written as
Substituting the value of current and potential difference into the equation.
Step 4: Calculating the amount of heat produced
According to Joule's law of heating, the amount of heat produced in a conductor is
Put the values of current, resistance, and time into the equation to calculate the amount of heat produced.
Thus, the magnitude of heat energy produced is .