Circuits Problem: Find Voltage Across Resistor, Capacitor, Inductor

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In summary, the problem involves finding the voltage response of a circuit with a resistor, capacitor, and inductor connected in parallel with resistance = 5000 ohm, inductance = 1.25H, and capacitance = 8nF. The concept of damping should be investigated to determine the circuit's behavior.
  • #1
Red_CCF
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Homework Statement



A circuit with a resistor, capacitor, and inductor all connected in parallel with resistance = 5000 ohm, inductance = 1.25H and capacitance = 8nF, find the voltage across the components.

Homework Equations



v = L*di/dt, i = C*dv/dt, v = iR

The Attempt at a Solution



I'm not sure what to do, I tried both node-voltage and mesh current but can't get at a solution
 
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  • #2
Hi Red_CCF! :smile:

Don't we need some more information? :confused:

What is the power supply (and if it's AC, what is the frequency)?
 
  • #3
tiny-tim said:
Hi Red_CCF! :smile:

Don't we need some more information? :confused:

What is the power supply (and if it's AC, what is the frequency)?

Hi

Thanks for the response. I uploaded the problem with the drawing of the circuit. They just drew the three components connected in parallel, defined an unknown voltage across them and asked for the voltage response.
 

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  • #4
Presumably the "response" required will be that due to a unit step or impulse applied to the circuit.

You should investigate the concept of damping for oscillations. You should be able to find the expression for the damping factor for the parallel RLC circuit and determine whether this circuit is underdamped, critically damped, or overdamped.
 
  • #5
gneill said:
Presumably the "response" required will be that due to a unit step or impulse applied to the circuit.

You should investigate the concept of damping for oscillations. You should be able to find the expression for the damping factor for the parallel RLC circuit and determine whether this circuit is underdamped, critically damped, or overdamped.

Thanks very much. I completely forgot about the formula for RLC circuits
 

Related to Circuits Problem: Find Voltage Across Resistor, Capacitor, Inductor

1. What is a circuit and why do we need to find the voltage across its components?

A circuit is an electrical network that allows the flow of electric current. We need to find the voltage across its components in order to understand how the circuit is functioning, and to determine the amount of energy being used or stored in each component.

2. How do you find the voltage across a resistor in a circuit?

To find the voltage across a resistor, you can use Ohm's Law (V=IR), where V is the voltage, I is the current flowing through the resistor, and R is the resistance of the resistor. You can also use Kirchhoff's Voltage Law (KVL) to calculate the voltage across a resistor by summing the voltage drops in a closed loop in the circuit.

3. How is the voltage across a capacitor different from a resistor?

The voltage across a capacitor is different from a resistor because a capacitor stores electrical energy, while a resistor dissipates it. This means that the voltage across a capacitor is directly proportional to the amount of charge stored on it, while the voltage across a resistor is directly proportional to the current flowing through it.

4. How does the voltage across an inductor change with time in a circuit?

The voltage across an inductor changes with time in a circuit because an inductor resists changes in current flow. When the current changes, the inductor creates a magnetic field that opposes the change in current, resulting in a change in voltage. This can be calculated using Faraday's Law (V=L(di/dt)), where V is the voltage, L is the inductance of the inductor, and di/dt is the rate of change of current.

5. What are some common applications of finding voltage across circuit components?

Finding voltage across circuit components is important in many practical applications, such as designing and troubleshooting electronic circuits, analyzing power consumption in electrical systems, and designing efficient power supplies. It is also crucial in industries such as telecommunications, power generation, and automotive engineering.

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