An impedance of a circuit containing a resistor of resistance 8 ohm. a...
An impedance of a circuit containing a resistor of resistance 8 ohm. a...
Impedance of the circuit:
The impedance of a circuit is the overall opposition to the flow of alternating current (AC). It is a combination of resistance, reactance, and impedance angle. In this circuit, the impedance is given as 10 ohms.
Resistance:
Resistance is the opposition to the flow of current in a circuit. In this circuit, there is a resistor with a resistance of 8 ohms. Resistance does not change with frequency.
Reactance:
Reactance is the opposition to the flow of current due to the presence of capacitance or inductance in a circuit. It depends on the frequency of the AC signal.
Capacitor:
A capacitor is a passive component that stores and releases electrical energy in the form of an electric field. It exhibits reactance known as capacitive reactance (Xc), which is inversely proportional to the frequency of the AC signal.
Inductor:
An inductor is a passive component that stores and releases electrical energy in the form of a magnetic field. It exhibits reactance known as inductive reactance (Xl), which is directly proportional to the frequency of the AC signal.
Calculating Reactance:
To calculate the reactance of the circuit, we need to know the values of the resistance, capacitance, and inductance. However, only the resistance is given in this case.
Since the impedance of the circuit is equal to 10 ohms, and the resistance is 8 ohms, we can use the Pythagorean theorem to calculate the reactance.
Impedance (Z) = √(Resistance² + Reactance²)
Substituting the given values:
10 = √(8² + Reactance²)
100 = 64 + Reactance²
Reactance² = 100 - 64
Reactance² = 36
Reactance = √36
Reactance = 6 ohms
Conclusion:
The reactance of the circuit is 6 ohms.