Derive a differential equation of a parallel R,C,L circuit where the input is a current source,...

Derive a differential equation of a parallel R,C,L circuit where the input is a current source, assume zero initial values, also make up an equivalent mechanical system.

Expert Solution

Manojponduru answered 3 months ago

The differential equation for the current in an RLC circuit is given by L d2i/dt2 +R...

The differential equation for the current in an RLC circuit is given by L d2i/dt2 +R di/dt+(1/c)i =wE0 cos(wt) with initial values i(0)=0 and i'(0)=0. Solve the above IVP.

Driven RC circuit in parallel. A capacitor C is connected in parallel to a resistor R...

Driven RC circuit in parallel. A capacitor C is connected in parallel to a resistor R and an AC source providing a voltage v(t) = V sin(ωt). (a) Make a phasor diagram at time t showing all relevant based on Kirchhoff’s rules. (b) Find the impedance of this circuit and make a plot of Z vs. ω. (c) What are the small and large frequency behaviors of the peak capacitor and resistor currents? (d) What is the phase difference between...

Derive the expression for RLC parallel circuit. Compare the series and parallel RLC circuit and discuss...

Derive the expression for RLC parallel circuit. Compare the series and parallel RLC circuit and discuss the impact of power factor with phasor diagram.

A series RC circuit is connected in parallel to a 5 volt DC voltage source, where...

A series RC circuit is connected in parallel to a 5 volt DC voltage source, where resistance R=1 M ohm and capacitance C= 1 microfarad. If at the start of operation, voltage across the capacitor is 5 volts, calculate the voltage across the capacitor at t=2 seconds. Also sketch the instantaneous voltage across the resistor. using differential equation.

1. Explain the time constant and its formula derivatives! for R-L circuit for R-C circuit for...

1. Explain the time constant and its formula derivatives! for R-L circuit for R-C circuit for R-L-C circuit give step by step how to get he formula,( not only the formula.) 2. Draw and explain the simple triangle wave generator circuit! 3. Find out and explain how the LPF and HPF circuits work with capacitors! 4. explain how the capacitors and inductors work as clearly as possible and give an example of the application

A circuit is consisted of an inductor L, a capacitor C, and a resistor R. It...

A circuit is consisted of an inductor L, a capacitor C, and a resistor R. It is driven by an AC voltage of the form ?0sin (??). At the steady state, find (a) the charge and current as a function of time (b) the maximum amplitude of the current and the corresponding resonance frequency (c) the average power at the current’s resonance frequency (c) the quality factor Q

Which of these is the same in parallel branches of a parallel circuit? a. current is...

Which of these is the same in parallel branches of a parallel circuit? a. current is the same b. voltage is the same c. resistance is the same d. all of these

In a series R-L-C circuit, R= 360 ohm , L= 0.410 H and C= 1.1*10^-2 micro...

In a series R-L-C circuit, R= 360 ohm , L= 0.410 H and C= 1.1*10^-2 micro F. 1.What is the resonance angular frequency of the circuit? 2. The capacitor can withstand a peak voltage of 550 V. If the voltage source operates at the resonance frequency, what maximum voltage amplitude can it have if the maximum capacitor voltage is not exceeded?

1. Given a parallel circuit with a constant current source containing resistors of different values, which...

1. Given a parallel circuit with a constant current source containing resistors of different values, which statement is true? a. The voltage drop across the less resistive component is the same the ones with higher resistance b. Current is the same through each resistor c. The voltage drop across the less resistive component is less than the ones with higher resistance d. None of the above 2. The conductance of a resistor decreases if the length of the resistor is...

An RLC circuit with R = 23.8 Ω , L = 327 mH , and C...

An RLC circuit with R = 23.8 Ω , L = 327 mH , and C = 45.7 μF is connected to an ac generator with an rms voltage of 25 V A: Determine the average power delivered to this circuit when the frequency of the generator is equal to the resonance frequency. B: Determine the average power delivered to this circuit when the frequency of the generator is twice the resonance frequency C: Determine the average power delivered to...

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