To understand how to calculate capacitance, voltage and change for a parallel co

Question

To understand how to calculate capacitance, voltage and change for a parallel combination of capacitors. Frequently, several connected together to form capacitors, may be interested in determining the overall capacitance of such collection. The simplest configuration to analyze involves capacitor connected in series at in parallel. More complicated setup can often (though not always) be by combining the rules for these two cases. Consider the example of parallel combination of capacitor Three capacitors are connected to each other and to a battery as shown in the figure(Figure 1) The individual capacitances C, 2c and 3c the battery's voltage is V. If the potential of plate 1 is V then, in equilibrium what are potentials of plates 3 and 6? As that the negative terminal of the battery is at zero potential. V and V 2V and 3V V and 0 v/2 and v/3 If the charge of the capacitor (the one with capacitance C) is Q then what the changes of the second and third capacitors? 2Q and 3Q Q/2 and Q/3 Q and Q 0 and 0 Suppose we consider the system of the three capacitor as a single equivalent capacitor. Given the charges of the three individual capacitors calculated in the previous pat, find the total charge Q_ for this equivalent capacitor. Express your answer in terms of V and C. using the value of Q__, find the equivalent capacitance for this combination or capacitors. Express your answer in terms of C.

Explanation / Answer

equivalent capacitance of circuit = Ceq = C + 2C + 3C = 6C

total charge = Qtotal = Ceq*V

Qtotal = 6C*V = 6CV [answer of C]

Ceq = 6C [answer of D]

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