Find RLC Values in RLC Series Circuit

In summary: And I think the best way of doing this is using the Laplace transformation, cause solving the differential equation would take a very hard work, and I don't think it's going to work as well.Let me explain it betterThe Laplace transformation of the given current is I(s)=12500/[(s+700)^2+2400^2]And if I apply the Kirchhoff Law Tension around the RLC series circuit I getI(s)=1/[s*(LC*s^2+RC*s+1)].
  • #1
danilorj
24
0
Guys,
Let's suppose we have RLC series circuit feeded by tension source initially with no energy stored. When we apply an unitary step of tension at t=0 at the terminals of the circuit, we observe a current of i(t)=(125/24) * exp(-700t)* Sin(2400t) mA that goes around the circuit for t>0s.
I want to find the values of R, L, C.
I was trying to match the laplace transformation of the current above to the laplace transformation of the circuit for the current but no success.
 
Physics news on Phys.org
  • #2
danilorj said:
Guys,
Let's suppose we have RLC series circuit feeded by tension source initially with no energy stored. When we apply an unitary step of tension at t=0 at the terminals of the circuit, we observe a current of i(t)=(125/24) * exp(-700t)* Sin(2400t) mA that goes around the circuit for t>0s.
I want to find the values of R, L, C.
I was trying to match the laplace transformation of the current above to the laplace transformation of the circuit for the current but no success.

Can you just write the differential equation for the current and voltage of the circuit, solve the DE and apply your initial conditions? That should get you the answer as well. Or are you required to use transforms?
 
  • #3
Let me explain it better
The Laplace transformation of the given current is I(s)=12500/[(s+700)^2+2400^2]
And if I apply the Kirchhoff Law Tension around the RLC series circuit I get
I(s)=1/[s*(LC*s^2+RC*s+1)]. But I don't know what to do with this. They seem to be different, one has degree 3 and the other has degree 2 in the denominator.
 
  • #4
And I think the best way of doing this is using the Laplace transformation, cause solving the differential equation would take a very hard work, and I don't think it's going to work as well.
 
  • #5
danilorj said:
Let me explain it better
The Laplace transformation of the given current is I(s)=12500/[(s+700)^2+2400^2]
And if I apply the Kirchhoff Law Tension around the RLC series circuit I get
I(s)=1/[s*(LC*s^2+RC*s+1)].
Show us how you got this. I don't think it's correct, which is why it's not matching up with the I(s) you were given.
But I don't know what to do with this. They seem to be different, one has degree 3 and the other has degree 2 in the denominator.
 

FAQ: Find RLC Values in RLC Series Circuit

1. What is an RLC series circuit?

An RLC series circuit is an electric circuit that contains a resistor (R), an inductor (L), and a capacitor (C) connected in series. In this type of circuit, the current flows through each component in the same direction.

2. Why is it important to find the RLC values in an RLC series circuit?

Knowing the values of R, L, and C in an RLC series circuit is important for understanding the behavior of the circuit. These values affect the impedance and resonant frequency of the circuit, and can help determine how the circuit will respond to different frequencies of current.

3. How can I find the RLC values in an RLC series circuit?

The RLC values in an RLC series circuit can be found by measuring the resistance, inductance, and capacitance of each component using a multimeter. Alternatively, they can be calculated using the equations R = V/I, L = V/(2πfI), and C = I/(2πfV), where V is the voltage across the component, I is the current flowing through it, and f is the frequency of the current.

4. What is the resonant frequency in an RLC series circuit?

The resonant frequency in an RLC series circuit is the frequency at which the impedance of the circuit is at its minimum. At this frequency, the reactive components (L and C) cancel each other out, and only the resistive component (R) remains, resulting in a lower overall impedance.

5. How does changing the RLC values affect the behavior of an RLC series circuit?

Changing the RLC values can affect the behavior of an RLC series circuit in several ways. Increasing the resistance (R) will decrease the amplitude of the current, while increasing the inductance (L) or capacitance (C) will cause the circuit to resonate at a lower frequency. Additionally, increasing the inductance or capacitance can also increase the overall impedance of the circuit.

Similar threads

Engineering RLC Series Circuit: Understanding Inductor Behavior
Replies
9
Views
2K
Engineering Impulse Response of an RLC Circuit
Replies
17
Views
5K
Engineering Finding the component values of a RLC circuit
Replies
2
Views
3K
B Initial current in an RLC circuit
Replies
22
Views
906
Series RLC and Parallel RLC circuits
Replies
15
Views
5K
Engineering KVL for a RLC circuit given current direction and polarity o
Replies
34
Views
5K
Engineering Finding Current in a Parallel RLC Circuit
Replies
7
Views
5K
Current in RLC Series Circuit: Need Help
Replies
2
Views
1K
Engineering Quality factor and freq bandwidth in a series RLC circuit
Replies
2
Views
3K
Engineering Series RLC Circuit & Differential Equations
Replies
6
Views
10K

Hot Threads

Recent Insights

Back
Top