Do the two capacitors have the same amount of charge on each of their plates? Ex

Question

Do the two capacitors have the same amount of charge on each of their plates? Explain. is the potential difference between the plates of each capacitor the same? explain

How are the two capacitors like a single capacitor? could you replace the two capacitors with a single capacitor? if so, what would be potential difference across the replacement capacitor in terms of the potential differences across each of the original capacitors? write in terms of an equation...

Use the equation that relates the potential difference on the new capacitor to the potenital differences v1 and v2 and the realtionship between charge and potential difference for each capacitor to find the capacitance of the replacement capacitor in terms of the capacitances c1 and c2 of the original two capacitors.

Explanation / Answer

charge stored on capacitor is given by Q= CV, the two capacitor if have same capacitance then they will store same amount of charge, as the potential applied is same, two capacitor can be replaced by single capacitance by: 1) if capacitors are connected in series then net capacitance is given by : 1/C1 + 1/C2, 2) if capacitors are connected in parallel then net capacitance is given by : C1 + C2 so you can replace two capacitor by having a capacitor equal to the capacitance given by above formula,, and charge on new capacitor will be Q= (1/C1 + 1/C2)V for series, and (C1 +C2)V for parallel.

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