Laplace transforms: R series with RC parallel circuit: Difference between revisions

Revision as of 23:01, 20 October 2009

v(0)=0 Volts

v(t)=10 Volts

R1=20 Ohm

R2=30 Ohm

C=.1 Farad

Loop 1

$v(t)=R1(i1+i2)+R2(i1)$

$10=20(i1+i2)+30(i1)$ _______________________________________equation (1)

Loop 2

$v(t)=R1(i1+i2)+{\dfrac {1}{C}}\int {i2dt}$

$10=20(i1+i2)+{\dfrac {1}{0.1}}\int {i2dt}$ _______________________equation (2)

Solving equations (1) and (2) simultaneously

@@ Line 21: / Line 21: @@
 Loop 2
-<math>v(t)=R1(i1+i2)+\dfrac{1}{C}\int{i dt}</math>
+<math>v(t)=R1(i1+i2)+\dfrac{1}{C}\int{i2 dt}</math>
-<math>10=20(i1+i2)+\dfrac{1}{0.1}\int{i dt}</math>_______________________equation (2)
+<math>10=20(i1+i2)+\dfrac{1}{0.1}\int{i2 dt}</math>_______________________equation (2)
-Solving equations (1) and (2) Simultaneously
+Solving equations (1) and (2) simultaneously