Physics

posted by .

A circuit contains a self-inductance L in series with a capacitor C and a resistor R. This circuit is driven by an alternating voltage V=V0sin(ωt). We have L=0.015 H, R= 80 Ω, C= 5e-06 F, and V0=40 volts.

Q) Find the energy UC(t) and the energy UL(t) stored in the capacitor and in the inductor, respectively, at time t1=0.0003 seconds for ω=ω0. Express your answers in Joules.

UC(t1): ???
UL(t1): ???

  • Physics -

    plz help !

  • Physics -

    V=V₀sinωt,
    ω= ω₀=1/sqrt(LC)=1/sqrt(0.015•5•10⁻⁶)= =3652 rad/s.

    V(t)=40sin3652t.
    q=CU,
    q(t) =CV₀sinωt,
    q(t) =5•10⁻⁶•40sin3652t=2•10⁻⁴sin3652t,
    I(t) =dq/dt =d(CV₀sinωt)/dt= CV₀ωcosωt,
    I(t)= 5•10⁻⁶•40•3652cos3652t =
    =0.73cos3652t.

    UC=CV²/2=CV₀²sin²ωt/2=
    =(5•10⁻⁶•40²/2) sin²3652t=
    =0.004 sin²3652t,

    UC(t₁) = 0.004 sin²(3652•0.0003)=
    =0.0032 J.

    UL =LI²/2 = L(CV₀ω)²cos²ωt/2 =
    =(0.015•(0.73)²/2)cos²3652t = =4•10⁻³cos²3652t,

    UL(t₁) = 4•10⁻³cos²(3652•0.0003)=
    =8.37•10⁻⁴J.

  • Physics -

    am not getting these answers marked correct ! plz if u can check it again ! thnx :)

  • Physics -

    anyone get this

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    An R-C circuit is driven by an alternating voltage of amplitude 110 and frequency . Define to be the amplitude of the voltage across the capacitor. The resistance of the resistor is 1000 , and the capacitance of the capacitor is 1.00 …
  2. Physics

    An R-C circuit is driven by an alternating voltage of amplitude 110 V and frequency w. Define V0 to be amplitude of the voltage across the resistor. The resistance of the resistor is 1000 ohms and the capacitance of the capacitor is …
  3. physics

    In a series circuit, a generator (1254 Hz, 13.8 V) is connected to a 15.5-Ω resistor, a 4.25-µF capacitor, and a 5.32-mH inductor. Find the voltage across each circuit element. VR = VC = VL =
  4. Circuits

    I have to calculate the voltage across the resistor of an rlc circuit where the 4.7nF capacitor is in parallel with the .200 H inductor for different frequencies (starting with 1000 Hz) They appear at the top of the circuit and they …
  5. Doogleberry Physcis

    In an L-R-C series circuit, the resistance is 380 Ohms, the inductance is 0.400 H, and the capacitance is 2.00×10−2 uF. What is the resonant frequency of the circuit?
  6. Physics

    A circuit contains a self-inductance L in series with a capacitor C and a resistor R. This circuit is driven by an alternating voltage V=V0sin(ωt). We have L=0.015 H, R= 80 Ω, C= 5e-06 F, and V0=40 volts. (a) What is the …
  7. Physics 112

    A battery is connected in series with a R = 0.26 Ω resistor and an inductor, as shown in the figure below. The switch is closed at t = 0. The time constant of the circuit is τ = 0.10 s, and the maximum current in the circuit …
  8. physics

    A series RLC circuit is made with a C=100pF capacitor, an L=100μH inductor, and an R=30Ω resistor. The circuit is driven at 5×106rad/s with a 1V amplitude. What is the current oscillation amplitude in amps
  9. physics

    A series RLC circuit is made with a C=100pF capacitor, an L=100μH inductor, and an R=30Ω resistor. The circuit is driven at 5×106rad/s with a 1V amplitude. What is the current oscillation amplitude in amps
  10. Physics

    A 10.0 Ω resistor is hooked up in series with an 8.0 Ω resistor followed by a 27.0 Ω resistor. The circuit is powered by a 9.0 V battery -Calculate the equivalent resistance. -Calculate the voltage drop across each resistor …

More Similar Questions