Question

The switch in the figure below is connected to position a for a long time interval. At t = 0, the switch is thrown to position b. After this time, what are the following? (Let C = 1.10 ) 10.0 Ω a 0.100 H 12.0 V (a) the frequency of oscillation of the LC circuit Hz (b) the maximum charge that appears on the capacitor HC (c) the maximum current in the inductor mA (d) the total energy the circuit possesses at t = 3.00 s Need Help? ReadWatch it
0 0
Add a comment Improve this question Transcribed image text
Answer #1

A.

resonance frequency is given by:

w = 1/sqrt (LC)

w = 2*pi*f

f = 1/(2*pi*sqrt (1.10*10^-6*0.1)) = 479.87 Hz

B.

max charge Q = C*V = 1.1*10^-6*12 = 1.32*10^-5 C

C.

Using energy conservation

Ec)max = El)max

0.5*Qmax^2/C = 0.5*L*imax^2

imax = Qmax/sqrt (C*L

imax = 1.32*10^-5/sqrt(1.1*10^-6*0.1)

imax = 0.0398 Amp.

D.

Total energy is constant, So

Umax = 0.5*L*imax^2

Umax = 0.5*0.1*0.0398^2 = 7.92*10^-5 J

Add a comment
Know the answer?
Add Answer to:
The switch in the figure below is connected to position a for a long time interval....
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • The switch in the figure below is connected to position a for a long time interval....

    The switch in the figure below is connected to position a for a long time interval. At t = 0, the switch is thrown to position b. After this time, what are the following? (Let C = 1.50 μF) 10.0 Ω a b0.100 H 12.0 (a) the frequency of oscillation of the LC circuit Hz (b) the maximum charge that appears on the capacitor με ur (c) the maximum current in the inductor MA (d) the total energy the circuit...

  • 10. -/10 points My Notes Ask Your Teacher The switch in the figure below is connected...

    10. -/10 points My Notes Ask Your Teacher The switch in the figure below is connected to position a for a long time interval. At t = 0, the switch is thrown to position b. After this time, what are the following? (Let C = 1.20 uF.) 0.100 H 12.0 V Ic (a) the frequency of oscillation of the LC circuit Hz (b) the maximum charge that appears on the capacitor CNC (c) the maximum current in the inductor CamA...

  • The switch 'S' in the circuit shown in the figure is connected to position 'a' for...

    The switch 'S' in the circuit shown in the figure is connected to position 'a' for a long time. At t=0, the switch is thrown to position 'b'. With the switch now in position 'b', find the below-mentioned parameters: (A) - 20 % The frequency of oscillation of the LC circuit (derive any expression you deem necessary). (B) - 20 % The maximum charge that appears on the capacitor (no derivation required). (C) - 60 % The total energy the...

  • The circuit shown has components with values of ?=14.0R=14.0 ΩΩ, ?=0.110L=0.110 H, ?=1.25C=1.25 ?μF, and =12E=12...

    The circuit shown has components with values of ?=14.0R=14.0 ΩΩ, ?=0.110L=0.110 H, ?=1.25C=1.25 ?μF, and =12E=12 V.  The switch is initially connected to point ?a for a long time, and then thrown to point ?b, resulting in oscillations. The circuit shown has components with values of R = 14.0 12, L = 0.110 H, C = 1.25 uF, and E = 12 V. The switch is initially connected to point a for a long time, and then thrown to point b,...

  • The switch in Figure 2 is connected to position a for a long time interval. When the switch is thrown to position b, what are the expression to determine the frequency of the damped oscillation of the RLC circuit?

    The switch in Figure 2 is connected to position a for a long time interval. When the switch is thrown to position b, what are the expression to determine the frequency of the damped oscillation of the RLC circuit? Applied to the circuit with the circuit consists of a 7.20 Ω risistor, a 12.0 mH inductor, and a 3.20 μF capacitor. In this case, what is the critical resistance for damped oscillations?

  • the switch in the circuit shown in the figure is first connected to point a for...

    the switch in the circuit shown in the figure is first connected to point a for a long time and then switch is connected to point b. 1-what is the frequency of the oscillation of the circuit 2-what is the maximum charge on the capacitor 3-what is the maximum charge on the inductor 4-what is the total energy in the circuit at t=3 s 10.0 Ω 0.100 H ÷ 12.0V

  • An LC circuit like the one in the figure below contains an 80.0 mH inductor and...

    An LC circuit like the one in the figure below contains an 80.0 mH inductor and a 30.0 µF capacitor that initially carries a 175 µC charge. The switch is open for t < 0 and is then thrown closed at t = 0. A rectangular loop forms an L C circuit. The left side of the loop contains a capacitor C carrying a charge Qmax, with the positively charged plate above the negatively charged plate. The right side of...

  • 10.02 m a 0.2 H s 000 5) Consider the circuit in the figure. For a...

    10.02 m a 0.2 H s 000 5) Consider the circuit in the figure. For a long time prior to time t=0, the switch is in position a, allowing the capacitor to fully charge. a) Find the characteristic time, t, over which the capacitor charged up. b) Find the charge on the capacitor at t= 0. ind the energy stored in the capacitor at 1 = 0. 12.0V 2.0 uF At time t=0, the switch is flipped to position b....

  • The frequency of oscillation of the LC circuit in the figure is 200 kHz. At time...

    The frequency of oscillation of the LC circuit in the figure is 200 kHz. At time t = 0 the upper capacitor plate has its maximum positive charge. Select ALL correct statements, e.g., enter AC. At t = 2.5 mu s, the charge on the lower plate has its maximum positive value. At t = 2.5 mu s, the energy is completely stored in the inductor. At t = 1.25 mu s, the charge on the lower plate has its...

  • The switch in the circuit of Figure 1 has been in position A for a long...

    The switch in the circuit of Figure 1 has been in position A for a long time. At t-0, it is moved to position B The resulting step response of the series RLC circuit is described by the r differential equation (1). Figure 1 dt L dt LC LC The solution to equation (1) has two components the transient response vt(t) and the steady state response, Vss(t) v(t)v(t)+ Vss(t) The transient response v(t) is the same as that for the...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT