Solving a Parallel RLC Circuit with a Variable Frequency Supply

In summary, a coil with inductance 0.20 H and resistance 60 ohms is connected in parallel with a 20 µF capacitor across a 20 V, variable frequency supply. The circuit can be represented by a series connection of the coil and resistance, both connected in parallel with the capacitor.
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Homework Statement


A coil of inductance 0.20 H, resistance 60ohms is connected in parallel with a 20 µ F capacitor across a 20 V, variable frequency supply


Homework Equations



rlc.jpg


The Attempt at a Solution


Homework Statement



I have done a RLC circuit diagram for the problem above but I am not quite sure is it correct?

From the description in the problem above I understand that we have L and R in series, both connected in parallel with C?

Or R,L and C are connected in parallel?

How do you understand problem above?

Homework Equations





The Attempt at a Solution


 
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  • #2
The resistance is associated with the resistivity of the wire comprising the inductor, so the series connection of the coil and resistance is a reasonable "bulk model" of the situation. Your diagram looks fine.
 
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FAQ: Solving a Parallel RLC Circuit with a Variable Frequency Supply

What is a parallel RLC circuit?

A parallel RLC circuit is a type of electronic circuit that consists of a resistor (R), an inductor (L), and a capacitor (C) connected in parallel to a power supply. This type of circuit is commonly used in electronic devices and systems to control the flow of electricity.

How do you solve a parallel RLC circuit with a variable frequency supply?

The first step in solving a parallel RLC circuit with a variable frequency supply is to determine the values of the resistor, inductor, and capacitor. Then, you can use the formula for impedance in a parallel circuit (Z = 1/((1/R)+(1/jωL)+(jωC))) to calculate the total impedance of the circuit. Next, you can use Ohm's law (V = IZ) to calculate the current through the circuit. Finally, you can use the equations for voltage and current in a parallel RLC circuit to determine the voltage and current at any point in the circuit.

What is the purpose of a variable frequency supply in a parallel RLC circuit?

A variable frequency supply is used in a parallel RLC circuit to change the frequency of the power supply and observe the effects on the circuit. This allows for the analysis and understanding of the behavior of the circuit at different frequencies.

What factors affect the behavior of a parallel RLC circuit with a variable frequency supply?

The behavior of a parallel RLC circuit with a variable frequency supply can be affected by several factors, including the values of the resistor, inductor, and capacitor, the frequency of the power supply, and the phase difference between the voltage and current in the circuit.

What are some real-world applications of a parallel RLC circuit with a variable frequency supply?

A parallel RLC circuit with a variable frequency supply has many practical applications, including in electronic filters, tuning circuits, and electrical power systems. It is also commonly used in audio equipment, such as speakers and amplifiers, to control the frequency response of the system.

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