Find the charge on the capacitor and the currents

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Fatima Hasan
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Homework Statement


Circuit diagram with two loops labelled 1 and 2 containing resistors of 5Ω, 30Ω, 10Ω and 10Ω, batteries of 5V, 5V, 10V and 10V, a 20μF capacitor, and currents I1, I2 and I3, with the problem text at left asking for the currents and capacitor charge.


Homework Equations


##Q=CΔV##
##V=IR##

The Attempt at a Solution


Handwritten solution with parts (a) and (b): Kirchhoff loop equations solved for currents I1 = 0.4 A, I2 = 1.6 A, I3 = 1.2 A, then capacitor voltage Vc = 5 V and charge Q = CV = 1 x 10^-4 C.


Is my answer correct ?
 
Attachments
  • Circuit diagram with two loops labelled 1 and 2 containing resistors of 5Ω, 30Ω, 10Ω and 10Ω, batteries of 5V, 5V, 10V and 10V, a 20μF capacitor, and currents I1, I2 and I3, with the problem text at left asking for the currents and capacitor charge.
    Capture.png
    17.6 KB · Views: 728
  • Handwritten solution with parts (a) and (b): Kirchhoff loop equations solved for currents I1 = 0.4 A, I2 = 1.6 A, I3 = 1.2 A, then capacitor voltage Vc = 5 V and charge Q = CV = 1 x 10^-4 C.
    C%281%29+%282%29%3A%5C%5CI_1%3D0.4A%5C%3A%5C%3A%5C%3A%20I_2%3D1.6A%5C%3A%5C%3A%5C%3AI_3%3D1.gif
    5.1 KB · Views: 691
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Discussion

Fatima Hasan said:
Is my answer correct ?
Yes.
 
  • Like
Likes   Reactions: Fatima Hasan
Yes, your results look fine. You should, though, provide more comments in your working to explain what you are doing at each step.
 

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