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Find the charge on the capacitor in an RLC-series circuit at: 0.01 seconds, when L=0.05 Henry, R=2 Ohms, C=0.01 Farad, E(t)=0 V, q(0)=5C, and i(0)= 0A. Determine the first time at which the charge on the capacitor is equal to zero.

Find the charge on the capacitor in an RLC-series circuit at: 0.01 seconds, when L=0.05 Henry, R=2 Ohms, C=0.01 Farad, E(t)=0 V, q(0)=5C, and i(0)= 0A. Determine the first time at which the charge on the capacitor is equal to zero.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Problem Statement:** Find the charge on the capacitor in an RLC-series circuit at: t = 0.01 seconds, when L = 0.05 Henry, R = 2 Ohms, C = 0.01 Farad, E(t) = 0 V, q(0) = 5 C, and i(0) = 0 A. Determine the first time at which the charge on the capacitor is equal to zero. **Analysis:** - Consider an RLC series circuit consisting of an inductor (L), a resistor (R), and a capacitor (C) connected in series with a source voltage \( E(t) = 0 \) V. - The initial charge on the capacitor at time \( t = 0 \) is \( q(0) = 5 \) C. - The initial current in the circuit at time \( t = 0 \) is \( i(0) = 0 \) A. - We are required to determine the charge on the capacitor at \( t = 0.01 \) seconds and find the first time at which the capacitor’s charge becomes zero.
Transcribed Image Text:**Problem Statement:** Find the charge on the capacitor in an RLC-series circuit at: t = 0.01 seconds, when L = 0.05 Henry, R = 2 Ohms, C = 0.01 Farad, E(t) = 0 V, q(0) = 5 C, and i(0) = 0 A. Determine the first time at which the charge on the capacitor is equal to zero. **Analysis:** - Consider an RLC series circuit consisting of an inductor (L), a resistor (R), and a capacitor (C) connected in series with a source voltage \( E(t) = 0 \) V. - The initial charge on the capacitor at time \( t = 0 \) is \( q(0) = 5 \) C. - The initial current in the circuit at time \( t = 0 \) is \( i(0) = 0 \) A. - We are required to determine the charge on the capacitor at \( t = 0.01 \) seconds and find the first time at which the capacitor’s charge becomes zero.
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