The circuit in the figure below has been connected for a long time. Let R₁ = 7.60 Q and R₂ = 3.00 . 1.000 R₁ 1.00µF 10.0 V R: 2.00 Ω (a) What is the potential difference across the capacitor? 7 Your response differs from the correct answer by more than 10%. Double check your calculations. V (b) If the battery is disconnected from the circuit, over what time interval does the capacitor discharge to one-fourth its initial voltage? μs

The circuit in the figure below has been connected for a long time. Let R₁ = 7.60 Q and R₂ = 3.00 . 1.000 R₁ 1.00µF 10.0 V R: 2.00 Ω (a) What is the potential difference across the capacitor? 7 Your response differs from the correct answer by more than 10%. Double check your calculations. V (b) If the battery is disconnected from the circuit, over what time interval does the capacitor discharge to one-fourth its initial voltage? μs

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 59P: The circuit in Figure P21.59 has been connected for a long time. (a) What is the potential...

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(a) Determine the equilibrium charge on the capacitor in the circuit of Figure P27.46 as a function of R. (b) Evaluate the charge when R = 10.0 . (c) Can the charge on the capacitor be zero? If so, for what value of R? (d) What is the maximum possible magnitude of the charge on the capacitor? For what value of R is it achieved? (c) Is it experimentally meaningful to take R = ? Explain your answer. If so, what charge magnitude does it imply? Figure P27.46
The circuit in Figure P21.59 has been connected for a long time. (a) What is the potential difference across the capacitor? (b) If the battery is disconnected from the circuit, over what time interval does the capacitor discharge to one-tenth its initial voltage?
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Two conducting wires A and B of the same length and radius are connected across the same potential difference. Conductor A has twice the resistivity of conductor B. What is the ratio of the power delivered to A to the power delivered to B? (a) 2 (b) 2 (c) 1 (d) 12 (e)12
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A Pairs of parallel wires or coaxial cables are two conductors separated by an insulator, so they have a capacitance. For a given cable, the capacitance is independent of the length if the cable is very long. A typical circuit model of a cable is shown in Figure P27.87. It is called a lumped-parameter model and represents how a unit length of the cable behaves. Find the equivalent capacitance of a. one unit length (Fig. P27.87A), b. two unit lengths (Fig. P27.87B), and c. an infinite number of unit lengths (Fig. P27.87C). Hint: For the infinite number of units, adding one more unit at the beginning does not change the equivalent capacitance.
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(a) Will the electric field strength between two parallel conducting plates exceed the breakdown strength for air ( 3.0 106 V/m) if the plates are separated by 2.00 mm and a potential difference of 5.0 103 V is applied? (b) How close together can the plates be with this applied voltage?
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