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?
Three point-like charges in the attached image are placed at the corners of an equilateral triangle as shown in the figure. Each side of the triangle has a length of 38.0 cm, and the point (C) is located half way between q1 and q3 along the side. Find the magnitude of the electric field at point (C). Let q1 = −2.80 µC, q2 = −3.40 µC, and q3 = −4.50 µC. Thank you.
Three point-like charges are placed as shown in the attach image, where r1 = r2 = 44.0 cm. Find the magnitude of the electric force exerted on the charge q3. Let q1 = -1.90 uC, q2 = -2.60 uC, and q3 = +3.60 uC. Thank you.
The drawing attached shows an edge-on view of two planar surfaces that intersect and are mutually perpendicular. Surface (1) has an area of 1.90 m², while Surface (2) has an area of 3.90 m². The electric field in magnitude of 215 N/C. Find the magnitude of the electric flux through surface (1 and 2 combined) if the angle theta made between the electric field with surface (2) is 30.0 degrees. Thank you.
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