In this circuit both capacitors would have the same

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In this circuit, both capacitors would have the same potential difference as the battery. Δ V bat = Δ V 1 = Δ V 2 Plus, we can say that the charges on either plate are equal to the total that passes through the battery. Q Tot = Q 1 + Q 2
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Capacitors We can essentially replace the two capacitors in parallel with one equivalent capacitor (this may make our life easier). The equivalent capacitor must have exactly the same external effect on the circuit as the original capacitors. The battery sees Q Tot passing through it and believes that the one equivalent capacitor has a potential difference of Δ V.
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Capacitors So, to the battery the equivalent capacitance is: The equivalent capacitance of capacitors in parallel is greater than the individual capacitors. In general, for parallel capacitors:
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Capacitors We can also have two capacitors hooked up in series to a battery. In this case the potential difference across the battery is no longer equivalent to the potential difference across either capacitor. But since the right C 1 plate gets its negative charges from the left C 2 plate, we can say that the charge on either capacitor must be the same.
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Capacitors This means that the charge passing through the battery is equivalent to the charge on either capacitor. Q Tot = Q 1 = Q 2 Also, the potential difference across either capacitor will sum to be the potential difference across the battery.
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