Considering the Ohm's law, the resistance of the resistor is 27.5 Ω.
You must first know the following definitions:
- Intensity is the circulation of electrons that goes from one point to another. Its unit of measurement is amps (A).
- The voltage is the force that leaves the electrons that can have movement through the conductive material. Its unit of measurement is volts (V).
- Resistance is the property of materials to oppose or resist the movement of electrons. Its unit of measurement is ohms(Ω).
The relationship between current, voltage and resistance is expressed by Ohm's law, which determines that the current flowing in a circuit is directly proportionate to the applied voltage and inversely proportional to the resistance of the circuit, as long as the temperature remains constant.
Mathematically, Ohm's law is expressed by the expression:
[tex]I=\frac{V}{R}[/tex]
where I is the intensity that is measured in amps (A), V the voltage that is measured in volts (V); and R is the resistance that is measured in ohms (Ω).
In this case, you know:
Replacing in Ohm's law:
[tex]0.4 A=\frac{11V}{R}[/tex]
Solving:
R×0.4 A= 11 V
[tex]R=\frac{11V}{0.4 A}[/tex]
R= 27.5 Ω
Finally, the resistance of the resistor is 27.5 Ω.
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