Laplace transforms: R series with RC parallel circuit: Difference between revisions
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<math>v(t)=R1(i1+i2)+R2(i1)</math> |
<math>v(t)=R1(i1+i2)+R2(i1)</math> |
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<math>10=20(i1+i2)+30(i1)</math>_______________________________________equation (1) |
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Loop 2 |
Loop 2 |
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<math>v(t)=R1(i1+i2)+\dfrac{1}{C}\int{i dt}</math> |
<math>v(t)=R1(i1+i2)+\dfrac{1}{C}\int{i dt}</math> |
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<math>10=20(i1+i2)+\dfrac{1}{0.1}\int{i dt}</math>_______________________equation (2) |
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Solving equations (1) and (2) Simultaneously |
Revision as of 20:05, 20 October 2009
Problem Statement
v(0)=0 Volts
v(t)=10 Volts
R1=20 Ohm
R2=30 Ohm
C=.1 Farad
Loop 1
_______________________________________equation (1)
Loop 2
_______________________equation (2)
Solving equations (1) and (2) Simultaneously