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C. Show that the final stored energy in the capacitor plus the total energy dissipated in the resistor is equal to the total energy supplied by the battery. In other words, show that energy is conserved. d. What fraction of energy is stored in the capacitor relative to the total energy supplied by the battery? Would this fraction change if you added another resistor R in series to the circuit?

C. Show that the final stored energy in the capacitor plus the total energy dissipated in the resistor is equal to the total energy supplied by the battery. In other words, show that energy is conserved. d. What fraction of energy is stored in the capacitor relative to the total energy supplied by the battery? Would this fraction change if you added another resistor R in series to the circuit?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Answer c and d
2. In this problem, we will analyze the energy and power relations for the charging capacitor circuit below. E i(t) R S₁ a t = 0 + q(t) a. Calculate the total energy supplied by the battery to charge the capacitor. The instantaneous power p(t) delivered by the battery during the charging process is equal to ε i(t). The current changes as a function of time and is given by i(t) = -e-t/RC. Find an expression for the total energy delivered by the battery by integrating p(t) from t = 0 tot → ∞o. b. Find the total energy dissipated in the resistor, R, during the charging process. 1 c. Show that the final stored energy in the capacitor plus the total energy dissipated in the resistor is equal to the total energy supplied by the battery. In other words, show that energy is conserved. d. What fraction of energy is stored in the capacitor relative to the total energy supplied by the battery? Would this fraction change if you added another resistor R in series to the circuit?
Transcribed Image Text:2. In this problem, we will analyze the energy and power relations for the charging capacitor circuit below. E i(t) R S₁ a t = 0 + q(t) a. Calculate the total energy supplied by the battery to charge the capacitor. The instantaneous power p(t) delivered by the battery during the charging process is equal to ε i(t). The current changes as a function of time and is given by i(t) = -e-t/RC. Find an expression for the total energy delivered by the battery by integrating p(t) from t = 0 tot → ∞o. b. Find the total energy dissipated in the resistor, R, during the charging process. 1 c. Show that the final stored energy in the capacitor plus the total energy dissipated in the resistor is equal to the total energy supplied by the battery. In other words, show that energy is conserved. d. What fraction of energy is stored in the capacitor relative to the total energy supplied by the battery? Would this fraction change if you added another resistor R in series to the circuit?
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