An L-R-C series circuit is connected to an ac source of constant voltage amplitude V and variable angular frequency ω . Using the results of Problem 31.49, find an expression for (a) the amplitude V L of the voltage across the inductor as a function of to and (b) the amplitude V C of the voltage across the capacitor as a function of ω . (c) Graph V L and V C as functions of ω for V = 100 V, R = 200 Ω, L = 2.0 H, and C = 0.50 μ F. (d) Discuss the behavior of V L and V C in the limits ω = 0 and ω → ∞. For what value of ω is V L = V C ? What is the significance of this value of ω ?
An L-R-C series circuit is connected to an ac source of constant voltage amplitude V and variable angular frequency ω . Using the results of Problem 31.49, find an expression for (a) the amplitude V L of the voltage across the inductor as a function of to and (b) the amplitude V C of the voltage across the capacitor as a function of ω . (c) Graph V L and V C as functions of ω for V = 100 V, R = 200 Ω, L = 2.0 H, and C = 0.50 μ F. (d) Discuss the behavior of V L and V C in the limits ω = 0 and ω → ∞. For what value of ω is V L = V C ? What is the significance of this value of ω ?
An L-R-C series circuit is connected to an ac source of constant voltage amplitude V and variable angular frequency ω. Using the results of Problem 31.49, find an expression for (a) the amplitude VL of the voltage across the inductor as a function of to and (b) the amplitude VC of the voltage across the capacitor as a function of ω. (c) Graph VL and VC as functions of ω for V = 100 V, R = 200 Ω, L = 2.0 H, and C = 0.50 μF. (d) Discuss the behavior of VL and VC in the limits ω = 0 and ω → ∞. For what value of ω is VL = VC? What is the significance of this value of ω?
An LRC series circuit consists of an AC voltage source with amplitude Vs =
20V and angular frequency w = 2000 rad/s, a resistor with resistance R =
10 2, an inductor with inductance L = 20 mH, and a capacitor with
%3D
capacitance C = 10 µF (all these components are connected in series).
What is the voltage amplitude across the capacitor (Vc)?
O 10.1 V
O 1.01 V
O 70.7 V
O 34.2 V
O 101 V
An L-R-C series circuit is connected to an ac source of constant voltage amplitude V and variable angular frequency ω.
A)Find the current amplitude, as a function of ω.
Express your answer in terms of the variables V, R, L, C, and ω.
B)Find the average power dissipated in the resistor.
Express your answer in terms of the variables V, R, L, C, and ω.
A circuit has an ac voltage source and a resistor and capacitorconnected in series. There is no inductor. The ac voltage source hasvoltage amplitude 900 V and angular frequency v = 20.0 rad/s. Thevoltage amplitude across the capacitor is 500 V. The resistor has resistanceR = 300 Ω. What is the capacitance C of the capacitor?
Chapter 31 Solutions
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