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 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.
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 AC voltage source and a resistor are connected in series to make up a simple AC circuit. If the source voltage is given by V = Vo sin(2nft) , find the first time after t = 0 when the
instantaneous voltage of 50 Hz AC first reaches the following values.
(a)
V = Vo/2
1.6
Note that the voltage in this AC circuit is a sine function. What units should you use for the argument of the sine function? ms
(b)
V = Vo
ms
(c)
V = 0
ms
Additional Materials
O Reading
E Show My Work (Optional) ?
Chapter 31 Solutions
University Physics with Modern Physics (14th Edition)
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