C(n). How does the heat produced by a resistor depend on current, resistance of the resistor, and time (taken one at a time) for which the current flows through the resistor?
C(n). How does the heat produced by a resistor depend on current, resistance of the resistor, and time (taken one at a time) for which the current flows through the resistor?
Concept used: Heat produced by a resistor
Step 1: Formula of heat produced by a resistor
When current I flows through a resistor of resistance R for time t, then the current flowing through the resistor, then the heat produced in the resistor is given by the formula:
Step 2: Dependence of heat on current
It can be seen from the formula of heat that, , i.e., the heat produced by a resistor is directly proportional to the square of the current.
Therefore, if we double the current flowing through the resistor, then the heat produced by it will become four times. Also, if the current is halved, then the heat produced will become one-fourth.
Step 3: Dependence of heat on resistance
It can be seen from the formula of heat that, , i.e., the heat produced by a resistor is directly proportional to the resistance of the resistor.
Therefore, if we double the resistance of the resistor, then the heat produced by it will also become double. Also, if the resistance is halved, then the heat produced will also get halved.
Step 4: Dependence of heat on time
It can be seen from the formula of heat that, , i.e., the heat produced by a resistor is directly proportional to the time for which the current flows through the resistor.
Therefore, if we double the time for which the current flows through the resistor, then the heat produced by it will also become double. Also, if the time is halved, then the heat produced will also get halved.
Concept used: Heat produced by a resistor
Step 1: Formula of heat produced by a resistor
When current I flows through a resistor of resistance R for time t, then the current flowing through the resistor, then the heat produced in the resistor is given by the formula:
Step 2: Dependence of heat on current
It can be seen from the formula of heat that, , i.e., the heat produced by a resistor is directly proportional to the square of the current.
Therefore, if we double the current flowing through the resistor, then the heat produced by it will become four times. Also, if the current is halved, then the heat produced will become one-fourth.
Step 3: Dependence of heat on resistance
It can be seen from the formula of heat that, , i.e., the heat produced by a resistor is directly proportional to the resistance of the resistor.
Therefore, if we double the resistance of the resistor, then the heat produced by it will also become double. Also, if the resistance is halved, then the heat produced will also get halved.
Step 4: Dependence of heat on time
It can be seen from the formula of heat that, , i.e., the heat produced by a resistor is directly proportional to the time for which the current flows through the resistor.
Therefore, if we double the time for which the current flows through the resistor, then the heat produced by it will also become double. Also, if the time is halved, then the heat produced will also get halved.
