See circuit It has a switch that can be moved to position a

(See circuit). It has a switch that can be moved to position a or e. With both capacitors C1 and C2 initially uncharged, the switch set to the e position and left for a very long time. The switch is then set to position a and left for a long time. R=R1=R3=R4. R2=2R

Use Kirchoff’s Rules to find the currents in the three resistors I1, I2, and I3 the instant after the switch is set to the a position.

Solution

as switch is moved to a position a C1 is closed circuit

using kirchoff VOLTAGE law along the loops

E - I1R1 +I3R3 = 0

E - I1R1 + I2R2 =0

I1 + I3 + I2 =0 (KIRCHOFF S JUNCTION LAW)

SOLVING THE FOUR EQUATION WE GET

I1 = - 3E/(5R) I2 = E /(5R) I3 = E /(10 R)