CapacitorEngineering sciencePhysics

Three capacitor C1, C2, and C3 are connected in parallel to give an equivalent of 2μf. If the d.c supply, to the parallel combination of the capacitor is 20v, the capacitance of C1 is 0.5μf and the charged stored by C2 is 4Coloumb. Determine the capacitance of C2 and C3.Calculate the energy stored in the capacitor.

Three capacitor C1 C2 and C3 are connected in parallel to give an equivalent of 2μf. If the d.c supply to the parallel combination of the capacitor is 20v the capacitance of C1 is 0.5μf and the charged stored by C2 is 4Coloumb.
I. Determine the capacitance of C2 and C3.
II. Calculate the energy stored in the capacitor.

SOLUTION


In series current is constant but in parallel voltage is constant.
Total capacitor (CT) = C1 + C2 + C3
Total capacitor (CT) = 2μf
Combined Voltage (V) = 20v
C1= 0.5μf
Q2= 4coloumb i.e 4c
Q2 is the charged stored by C2
C2= ?, C3 = ?
(CT) = C1 + C2 + C3
2=0.5+C2+C3 (we’ve two unknown which made it impossible to solve. So let’s find C2, since we’ve been given stored charge (Q)
Recall
Q2=Cv, Q2=C2•V
4=C2•20(since voltage is constant in parallel connection)
C2=4/20; = 0.2μf
(CT) = C1 + C2 + C3
2=0.5+0.2+C3; 2=0.7+C3
Therefore, C3 = 1.3μf


Find Energy stored


Energy stored,(E) = ½cv²; ½•0

.2•20²
½×2×400 = 400J

Oluwamuyide Peter

My name is seyi, the main aim of creating this platform is to help users get information like school updates, electrical engineering topics and many more for free

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