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?
A capacitor with a capacitance of C = 5.95×10−5 F is charged by connecting it to a 12.5 −V battery. The capacitor is then disconnected from the battery and connected across an inductor with an inductance of L = 1.55 H . At the time 2.35×10−2 s after the connection to the inductor is made, what is the current in the inductor? At that time, how much electrical energy is stored in the inductor?
Can someone help me with this question. Thanks.
Can someone help me with this question. Thanks.
Chapter 31 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
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