Question

In: Math

An RLC circuit is made up of a resistor R = 12Ω , a capacitor C...

An RLC circuit is made up of a resistor R = 12Ω , a capacitor C = 0.1 F and an inductor L = 2 H. A voltage source is connected that supplies 110 V. If initially the capacitor is
discharged and no current flows through the circuit, find an expression for the charge at all times t.

differential equations

Solutions

Expert Solution


Related Solutions

An RLC circuit consists of a resistor R = 12 LaTeX: \ OmegaΩ, a capacitor C...
An RLC circuit consists of a resistor R = 12 LaTeX: \ OmegaΩ, a capacitor C = 0.1 F and an inductor L = 2 H. A voltage source is connected that supplies 110 V. If initially the capacitor is discharged and no current flows through the circuit, find an expression for the charge at all times t.
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
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...
An RLC series circuit has a 2.60 ? resistor, a 200 µH inductor, and a 78.0 µF capacitor.
  An RLC series circuit has a 2.60 ? resistor, a 200 µH inductor, and a 78.0 µF capacitor. (a) Find the circuit's impedance (in ?) at 120 Hz. (b) Find the circuit's impedance (in ?) at 5.00 kHz. (c) If the voltage source has Vrms = 5.60 V, what is Irms (in A) at each frequency? Irms, 120 Hz =_____ A Irms, 5.00 kHz =_____A (d) What is the resonant frequency (in kHz) of the circuit? (e) What is...
n a series LRC circuit with a resistor of (R= 179 ohms) and a capacitor of...
n a series LRC circuit with a resistor of (R= 179 ohms) and a capacitor of (C= 92 uF) and an Inductor of ( L= 7 mH) . If the circuit is driven by an AC voltage of 144 volts , at 96 Hz , what is the current in the circuit in Amps?
An L-R-C series circuit consists of a 60.0 Ω resistor, a 10.0 μF capacitor, a 3.60...
An L-R-C series circuit consists of a 60.0 Ω resistor, a 10.0 μF capacitor, a 3.60 mH inductor, and an ac voltage source of voltage amplitude 60.0 V operating at 1450 Hz . a.) Find the current amplitude across the inductor, the resistor, and the capacitor. b.) Find the voltage amplitudes across the inductor, the resistor, and the capacitor. c.) Why can the voltage amplitudes add up to more than 60.0 V ? d.) If the frequency is now doubled,...
An RLC series circuit consists of a 450-Ω resistor, a 3.00-mF capacitor, and a 1.00-H inductor....
An RLC series circuit consists of a 450-Ω resistor, a 3.00-mF capacitor, and a 1.00-H inductor. The circuit is driven by a power source that oscillates at 20.0 Hz and has an ε_rms value of 90.0 V . The power source is switched on at t = 0 and at that instant the emf is at its maximum value. A) Calculate the power supplied at t = 0.0200 s. B) Calculate the power supplied at t = 0.0375 s. C)...
An RLC series circuit consists of a 450-Ω resistor, a 3.00-mF capacitor, and a 1.00-H inductor....
An RLC series circuit consists of a 450-Ω resistor, a 3.00-mF capacitor, and a 1.00-H inductor. The circuit is driven by a power source that oscillates at 20.0 Hz and has an Erms value of 30.0 V . The power source is switched on at t = 0 and at that instant the emf is at its maximum value. Part A Calculate the power supplied at t = 0.0200 s. Part B Calculate the power supplied at t = 0.0375...
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...
3.Consider a series RLC circuit. a) When the capacitor is charged and the circuit is closed,...
3.Consider a series RLC circuit. a) When the capacitor is charged and the circuit is closed, find the condition for the current to be oscillatory. b) When the circuit is connected to an AC source V = ?0 cos??, find the voltage across the inductor and the angular frequency at which the voltage across the inductor is maximized.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT