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I am hoping that general physics is the correct location for this problem, but if I am wrong please say so. I have a problem where two capacitors of different value are in series and are attached to a DC source.

Image is a bit blurry but that is how our professor scanned it. This is practice he said we should do, and I solved it for V total but not individually.

at t=0; v=0

at t=∞; v=12

(v-12)/100k + c(dv/dt) = 0

(dv/dt) + 5v = 60

than solving the differential equation I get

v = c

solving for c

v(t) = -12e

How would I go about solving individually? And did I even get the correct solution? It is logical for t=0 being 0v and at t=∞ getting 12v

Thanks,

Steve

## Homework Statement

Image is a bit blurry but that is how our professor scanned it. This is practice he said we should do, and I solved it for V total but not individually.

**relevant formulas**: C(dv/dt) tou=RC**attempt at solution**:at t=0; v=0

at t=∞; v=12

(v-12)/100k + c(dv/dt) = 0

(dv/dt) + 5v = 60

than solving the differential equation I get

v = c

_{1}e^{-5t}+ 12solving for c

_{1}I got the final solutionv(t) = -12e

^{-5t}+ 12How would I go about solving individually? And did I even get the correct solution? It is logical for t=0 being 0v and at t=∞ getting 12v

Thanks,

Steve

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