Finding I_knot at a certain time in the circuit given

[oceanwalk]

Homework Statement

In the network shown, R1=3 kohm, R2=3 kohm, R3=2 kohm, R4=5 kohm, R5=2 kohm, and C=475 microF. Compute i0(0.1s) in microA.

The figure is in the word file attached.


3. The Attempt at a Solution

Time constant is Req*c
Req when circuit is open is Req=r5+(r4*(r3+r2)/ (r4+r3+r2) )
Substituting the values, Req=4.5 kohms
Τ=4.5*10^3*475*10^-6=2.1375
Current in capacitor =12/Req(1-exp(-t/ Τ))
At t=0.1s I = 0.456*12/4.5 *10^-3 =121.64 micro A
Current in R4 = half of current in capacitor=60.8 micro A

 

[Mark44]

This isn't any help for your problem, but i₀ is "i nought" or "i naught".

A knot is something used to fasten ropes together or to something.
A knot is also a unit of the speed of a boat in water.