Electrical Engineering ⇒ Topic : Capacitors in Parallel

Peter
 
Capacitors in Parallel Consider three capacitors, having capacitances C_{1}, C_{2} and C_{3} farad respectively, connected in parallel across a p.d. of r volts [See Figure (a) (i)]. In parallel connection, p.d. across each capacitor is the same but charge on each is different figure (a) But Q/V is the total capacitance C_{T} of the parallel combination [See Fig (a). (ii)] C_{T} = C_{1} + C_{2} + C_{3} _{Thus capacitors in parallel are treated in the same manner as are resistors in series.}
 
 
Maninder
 
CAPACITORS IN PARALLEL In this case, the charge on each capacitor is different but voltage is same as shown in Figure (a). The total charge Q is given by
Figure (a) Capacitors connected in parall When n capacitors C_{1}, C_{2}, , and C_{n} are in parallel, it can be expressed as: ............ (1)  
 
Lalan
 
Capacitors in Parallel: Figure shows the arrangement of capacitors in parallel. C_{1}, C_{2} and C_{3} are the three capacitors connected in parallel. The voltage across each capacitor is the same, i.e. V volts. Let .q_{1}, q_{2} and q_{3} be the corresponding charges on C_{1}, C_{2}and C_{3}. We know that q_{1}= C_{2} V q_{2}= C_{2}V q_{3}= C_{3}V
Arrangement of capacitors in parallel The total charge on the system of capacitors is given as
Therefore, the equivalent capacitance C is given as
The above equation suggests that the system of parallel capacitors can be represented by a single equivalent capacitor whose capacitance is the sum of the three individual capacitors. Similarly, if the parallel combination contains n capacitors, then
Thus, in the parallel system of arrangement of capacitors, the equivalent capacitance (C) is always greater than any individual capacitance and is equal to the sum of all the capacitances connected in parallel.  
 
!! OOPS Login [Click here] is required for more results / answer