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 ac series circuit contains a voltage source with angular frequency of 200 rad/s and volatage amplitude V, a resistor with R=400 ohms and a capacitor with C= 1.00 x10^-5 F. If the voltage amplitude across the resistor is 40 V, what is the amplitude of the voltage across the capacitor?
An L-R-C series circuit consists of a 2.70 μF capacitor, a 5.00 mH inductor, and a 50.0 Ω resistor connected across an ac source of voltage amplitude 14.0 V having variable frequency.
A. Under the conditions of part A (ω = 2.09×104 rad/s), what is the average power delivered to each circuit element? (PR,PC,PL)
B. What is the maximum current through the capacitor?
An L-R-C series circuit is constructed using a 175 Ω resistor, a 12.5 μF capacitor, and an 8.00 mH inductor, all connected across an ac source having a variable frequency and a voltage amplitude of 25.0 V.
At the angular frequency in part A, find the potential difference across the ac source, the resistor, the capacitor, and the inductor at the instant that the current is equal to one-half its greatest positive value.
What are the potential difference: v, vR, vC, vL
Chapter 31 Solutions
University Physics with Modern Physics (14th Edition)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.