These questions are related to RL Series Circuit, RC Series Circuit, and RLC Series Circuit. These topics are covered in detail here:

RL Series Circuit

RC Series Circuit

RLC Series Circuit

Impedance in an AC Circuit

**1. Define a series RL circuit:**

The combination of a resistor and inductor connected in series to an AC source.

**2. Define impedance:**

The total opposition to current flow in an AC circuit. Mathematically, it is represented as:

$Z=R+jX$

Where R is a resistance and X represents Reactance.

**3. What is the unit of measurement for impedance?**

Impedance is measured in Ohms.

**4. What is the formula for impedance in an RL Series circuit?**

Since, current remains the same through each component in a RC Series circuit, so total impedance can be find by using:

$Z=\frac{{{V}_{s}}}{I}$

Where Vs represents source voltage and I is the total circuit current.

**5. With a 5 ohm resistor and a 10 ohm inductive reactance, what is the total impedance?**

$Z=\sqrt{{{R}^{2}}+X_{L}^{2}}=\sqrt{{{5}^{2}}+{{10}^{2}}}=11.18\Omega $

**6. Define True Power.**

True power is measured in watts (W) and is the power drawn by the resistive component of the circuit.

**7. What is reactive power?**

Reactive power is measured in volt-amperes reactive (VARs) and is defined as the power continually stored and discharged by the magnetic field of the inductive load.

**8. What is apparent power?**

Apparent power is measured in volt-amperes (VA) and is the combination of the reactive power and true power.

$S=P+jQ$

**9. What are the formulas for Power Factor (PF)?**

\[\text{PF=}\frac{\text{Watts(W)}}{\text{Volt-Ampere(VA)}}\text{=}\frac{\text{True Power}}{\text{Apparent Power}}\text{=}\frac{\text{Resistnce(R)}}{\text{Impedance(Z)}}\]

**10. Define a series RC circuit.**

The total opposition or impedance is due to a combination of both resistance and capacitance reactance.

**11. With a 7 ohm resistor and a 10 ohm capacitance reactance, what is the total impedance?**

$Z=\sqrt{{{R}^{2}}+X_{C}^{2}}=\sqrt{{{7}^{2}}+{{10}^{2}}}=12.21\Omega $

**12. What is the formula for total impedance in a RLC circuit?**

${{Z}_{T}}=\sqrt{{{R}^{2}}+{{({{X}_{L}}-{{X}_{C}})}^{2}}}$

**13. What is a resonant circuit?**

It is a circuit with inductive reactance equal to capacitance reactance and can be series or parallel.

${{X}_{L}}={{X}_{C}}$