If the angular velocity of sinusoidal voltage is 314 rad/s, then the periodic time is
Q: An L-R-C circuit has L = 0.410 H, C = 2.20 × 105 F, and resistance R. (a) What is the angular…
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Q: The current depends on frequency (w). The circuit elements (inductor, resistor, capacitor) are…
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Q: A mass-spring system with damping consists of a 9-kg mass, a spring with spring constant 3 N/m, a…
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Q: The current depends on frequency (ω). The circuit elements (inductor, resistor, capacitor) are…
A: It is given that,
Q: Problem 5: A capacitor C is connected to an inductor L in a closed loop circuit. Initially the…
A: Given, -QC=LdIdt Now, dIdt+QLC=0or d2Qdt2+1LCQ=0 (Since, I=dQdt)
Q: What is the resonant angular frequency for an LC circuit if L = 30.3 H and C = 21.5x10-2 F? Assume…
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Q: Consider an LC circuit in which L = 520 mH and C = 0.128 µF. (a) What is the resonance frequency w,?…
A: L = 0.52 H C = 0.128 micro farad
Q: lell L In an LC circuit where L=(1.40x10^0)H and C=(4.100x10^1)nF, the resonant angular frequency…
A: Solution:-Given thatL=1.4×100 HC=4.1×101 nF=41×10-9 F
Q: 3. Consider an RLC circuit with R = 30 ohms , L = 10 henry (H), and C= 0.02 farad (F). At time t =…
A: R = 30 ohmL = 10 HC = 0.02 FE(t) = 50 Sin (2t)
Q: Consider an LC circuit in which L = 520 mH and C = 0.110 pF. (a) What is the resonance frequency w?…
A: (a) the resonance frequency is, ωo=1LC=1520×10-3 H0.110×10-6 F=4.181×103 rad/s=4.181 krad/s (b)…
Q: An LRC series circuit (L = 170. mH, R = 36.0 Ohm) is driven by a 120. V (rms), f = 60.0 Hz ac power…
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Q: Consider an LC circuit in which L = 520 mH and C = 0.130 µF. (a) What is the resonance frequency wo?…
A: Given that L =520mH=520x10-3H C=0.130μF=0.130x10-6F
Q: I am trouble understanding this circuit. Here, R= 25.0 ohms, L=30.0 mH and C=12.0µF. Additionally…
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Q: ry inductor, no resistor and a 10^-2 farad capacitor. There is an applied voltage of E(t) = 0.1…
A: Given: To find the amplitude of the steady state is given as, L=0.1 H and c=10-2 F Et=0.1 sin 10t…
Q: Suppose the voltage source for a series RL-circuit were given as V0sin(ωt) instead of V0cos(ωt).…
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Q: A current source outputs a current that depends on time according to: I(t) = A cos @ịt + B sin @2t,…
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Q: (a) What is the resonant frequency of an RLC seriescircuit with R = 20 Ω, L = 2.0 mH , and C =…
A: R=Resistance=20 ΩL=Inductance=2 mHC=Capacitance=4 μC
Q: In the L-R-C circuit pictured the source provides a voltage v (f) = 172 V cos (120 rad/s t +1 rad).…
A: Given data: Inductance L=0.12 H. Capacitance C=0.22 mF. Resistance R=15 Ω. Voltage vt=172 cos120…


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- In a series circuit, R= 50 ohm, L= 4.0H and C = 12uF. When the source voltage operates at resonant frequency and current amplitude is 5.0 A . What is the voltage amplitude across the inductor?Consider an LC circuit in which L = 480 mH and C = 0.108 µF. (a) What is the resonance frequency w,? krad/s (b) If a resistance of 1.12 kn is introduced into this circuit, what is the frequency of the damped oscillations? krad/s (c) By what percentage does the frequency of the damped oscillations differ from the resonance frequency? %The current depends on frequency (ω). The circuit elements (inductor, resistor, capacitor) are fixed. If ℰ₀ = 136 volts, R = 6 Ω, L = 6 Henries, C = 1.324 Farads, calculate the frequency (ω) that gives the maximum current amplitude. (This is called the resonant frequency.)
- The current in an Series RL circuit is described by the following differential equation:R i(t) + L di(t)/(dt) = V0where R is the resistance, L is the inductance, and V0 is the voltage of the source. a) Show that this is a separable differential equation, and then solve it. (Find i(t) in terms of R, L, V0). b) For a Series RL circuit with R = 50 (Ohm) and L = 10 (Henry) and the constant voltage V0 = 100 (Volt) applied at t = 0 by closing of a switch, find the current at t = 0.5 second.Do it correctly!Consider the RLC series circuit shown in the Fig. 10 where R = 450 N, L = 89.4 mH, and C = 0.669 µF. The current in the circuit is given by i(t) = I cos[(11 800 rad/s)t], where I is the amplitude current. The circuit overall impedance across the series of resistor, capacitor, and inductor, is most nearly (A) 2070 N. (B) 731 N. (C) 1270 N. (D) 1030 N. (E) 1460 N.
- In a damped oscillating circuit the energy is dissipated in the resistor. The Q-factor is a measure of the persistence of the oscillator against the dissipative loss. (a) Prove that for a lightly damped circuit the energy, U, in the circuit decreases according to the following equation. dU dt = −2βU, where β = R2L . (b) Using the definition of the Q-factor as energy dividedby the loss over the next cycle, prove that Q-factor of a lightly damped oscillator as defined in this problem is Q ≡ Ubegin ΔUone cycle = 1 R L C. (Hint: For (b), to obtain Q, divide E at the beginning of one cycle by the change ΔE over the next cycle.)The current depends on frequency (ω). The circuit elements (inductor, resistor, capacitor) are fixed. If ℰ₀ = 140 volts, R = 5 Ω, L = 7 Henries, C = 3.373 Farads, calculate the frequency (ω) that gives the maximum current amplitude.A LRC circuit has an L = 60.0 mH, R = 300. 2, and C= 0.500 µF, and with a voltage source of Vo = 50.0V and w 10, 000 rad/s. Determine (a) the reactances, XL and Xc, (b) the impedance, Z, (c) the phase angle, o, (d) the current amplitude (max current), I, (e) and the voltage amplitude (max voltage) across L, R, and C.
- The linear attenuation coefficient is 2 1/mm, the thickness of the attenuator is 1 mm, the transmission factor is(a) What is the resonant frequency (in Hz) of a resistor, capacitor, and inductor connected in series if R = 140 N, L = 3.0 H, and C = 4.0 µF? Hz (b) If this combination is connected to a source with a voltage amplitude of 100 V operating at the resonant frequency, what is the average power output of the source (in W)? w (c) What is the Q of the circuit? Q = (d) What is the bandwidth of the circuit (in rad/s)? rad/s