Answer:
a) The current in the heating element when it is connected to 120 V is 9.229 amperes, b) The power received by the heatng element connected to 120 V is 1107.522 watts.
Explanation:
a) The resistance as a function of voltage and power can be obtained from this expression, derived from the Ohm's Law:
Where:
- Source voltage, measured in volts.
- Heating element resistance, measured in ohms.
Now, resistance is clear and determined afterwards:
If and , then:
Now, let consider that heating element is conected to a 120-V source. The power generated by this element is:
Besides, power as a function of current and resistance is given by this:
Where is the current required by the heating element, measured in amperes, and which is cleared herein:
If and , then:
The current in the heating element when it is connected to 120 V is 9.229 amperes.
b) The power received by the heatng element connected to 120 V is 1107.522 watts. (see point a) for further details)