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4. An electric circuit consists of an inductance of 0.1henry, a resistance of 20 ohms and a condenser of capacitance 25 micro-farads. Find the charge q and the current i at any time t, given that at t = 0,q = 0.05 coulomb, i = dq = 0 when t = 0 dt %3D

4. An electric circuit consists of an inductance of 0.1henry, a resistance of 20 ohms and a condenser of capacitance 25 micro-farads. Find the charge q and the current i at any time t, given that at t = 0,q = 0.05 coulomb, i = dq = 0 when t = 0 dt %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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How is V =0 here?
2" + 200 q+ 400000 =o with El6)=6.05 3:49 @ N l 52% In this question, we apply the concept of differential equation to find the charge and current. Given that L=0.1H R=20 Ohm C=25 Micro-farads. V=0 Lq' + Rq' + { =V Step2 b) The Differen tial equation for L,R,C circuiH 4+ R de + E V dt č = hi ven that R=20 Oh, c= 25 micro_forads C= 25410 Farmd, 0.1 2" + 2.2 t , 2= 0 254106 + 209 + 4 0000 =0 The Charactristic roots r+ 200 Y t 40000o =0 - 200 + Sses 00 - 40000 0 =-200t 600 i 2. 2. Y = -100 + 3oge II
Transcribed Image Text:2" + 200 q+ 400000 =o with El6)=6.05 3:49 @ N l 52% In this question, we apply the concept of differential equation to find the charge and current. Given that L=0.1H R=20 Ohm C=25 Micro-farads. V=0 Lq' + Rq' + { =V Step2 b) The Differen tial equation for L,R,C circuiH 4+ R de + E V dt č = hi ven that R=20 Oh, c= 25 micro_forads C= 25410 Farmd, 0.1 2" + 2.2 t , 2= 0 254106 + 209 + 4 0000 =0 The Charactristic roots r+ 200 Y t 40000o =0 - 200 + Sses 00 - 40000 0 =-200t 600 i 2. 2. Y = -100 + 3oge II
4. An electric circuit consists of an inductance of 0.1henry, a resistance of 20 ohms and a condenser of capacitance 25 micro-farads. Find the charge q and the current i at any time t, given that at t = 0,q = 0.05 coulomb, i = dq = 0 when t = 0 dt %3D
Transcribed Image Text:4. An electric circuit consists of an inductance of 0.1henry, a resistance of 20 ohms and a condenser of capacitance 25 micro-farads. Find the charge q and the current i at any time t, given that at t = 0,q = 0.05 coulomb, i = dq = 0 when t = 0 dt %3D
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