How Do You Calculate Impedance in a Series RLC Circuit?

In summary, impedance is a measure of the opposition to the flow of an alternating current in an electrical circuit. It is calculated using Ohm's law and takes into account the effects of resistance, inductance, and capacitance. Impedance differs from resistance in that it also considers reactance and can affect the performance of an electrical circuit by influencing voltage, current, efficiency, and power consumption. To effectively solve impedance homework problems, it is important to have a thorough understanding of resistance, reactance, impedance, and how to use mathematical equations and circuit analysis tools.
  • #1
Kris1120
42
0

Homework Statement


A 1170 resistor, a 1.46 μF capacitor, and
a 2.7 H inductor are connected in series across
a 350 Hz AC source for which the maximum
voltage is 230 V.
Calculate the impedance of the circuit.


Homework Equations



Z=sqrt(R^2+(XL-XC)^20

XL=2*pi*f*L

XC=1 / (2*pi*f*C)

The Attempt at a Solution



XL= 2*pi*(350Hz)*(2.7H) = 5937.61

XC= 1 / (2*pi*350Hz* 1.46e-6 F) = .000245

Z= sqrt( 1170^2 + (5937.61 - 2.54e-4)^2) = 6051.79 ohms => 6.05179 kiloohms
 
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  • #2


Your Xc calculation looks wrong... should be up closer to 100 Ohms or so...
 
  • #3


awesome! thanks!
 

Related to How Do You Calculate Impedance in a Series RLC Circuit?

1. What is impedance and how is it related to electricity?

Impedance is a measure of the opposition to the flow of an alternating current (AC) in an electrical circuit. It is a combination of resistance, inductance, and capacitance, and is represented by the symbol Z.

2. How do you calculate impedance?

Impedance can be calculated using Ohm's law, which states that impedance (Z) is equal to the voltage (V) divided by the current (I): Z = V/I. In more complex circuits, the calculation may involve using the Pythagorean theorem to account for the phase difference between voltage and current.

3. What is the difference between impedance and resistance?

Resistance is a measure of the opposition to the flow of direct current (DC) in an electrical circuit, while impedance is a measure of the opposition to the flow of alternating current (AC). Impedance takes into account the effects of both resistance and reactance (inductance and capacitance).

4. How does impedance affect the performance of an electrical circuit?

Impedance can affect the voltage and current in an electrical circuit, as well as the overall efficiency and power consumption. High impedance can lead to voltage drops and reduced current flow, while low impedance can cause excessive current flow and potential damage to the circuit.

5. How can I solve impedance homework problems effectively?

To solve impedance homework problems, it is important to understand the concepts of resistance, reactance, and impedance, as well as how to calculate them using mathematical equations. It may also be helpful to draw circuit diagrams and use tools such as Kirchhoff's laws to analyze the circuit and determine the correct values for voltage, current, and impedance.

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