Combination of parallel capacitor
Where all the capacitors Positive points are connected in a common point and negative points are connected in a common point or ground is capacitors in parallel combination. A figure is shown where capacitors positive points are connected with cell’s positive point and negative points are with its negative point. This simple capacitor circuit.
If +Q charge is supplied, then the capacitors take charges across their capacitance.
Let, capacitor’s charges are Q1, Q2 and Q3
Total charge Q is
Q = Q1 + Q2 + Q3 ————- (i)
Each capacitor has same potential difference. Because their two points are connected with cell’s two points.
Consider, voltage v, capacitance of each capacitors are
C1 ,C2 ,C3
Then capacitors voltage and charge, Q1 = C1V , Q2 = C2V, Q3 = C3V ————- (ii)
Using equivalent capacitor which voltage is V and charge Q.
We can write
Cp = Q/V
Or, Q = CpV —————- (iii)
Substituting the values of equation (ii) & (iii) in (i)
CpV = C1V + C2V + C3V
Or, Cp = C1 + C2 + C3
For n number of capacitor parallel,
Cp = C1 + C2 + C3 + ————- + Cn
So, we can said that
Equivalent capacitor is the summation of capacitance of capacitors.
This is capacitor formula when connects parallel.
Comments on Combination of parallel capacitor
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