A capacitor is an electrical device which can be used to store a charge by application of a voltage. The simplest type of capacitor consists of two parallel plates with a voltage applied across them. A capacitor is characterized by its ratio of charge stored to applied voltage, called the capacitance and measured in Farads.Unlike a battery, when the voltage is removed, the capacitor discharges.
The voltage V across a capacitor with charge Q and capacitance C is given by
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The potential energy stored in a capacitor is given by
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The impedance of a capacitor is given by
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The charge stored by a set of capacitors in parallel is given by
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so it therefore follows that
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For capacitors in series,
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It therefore follows that
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The voltage V across a capacitor with charge Q and capacitance C is given by
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(1)
The potential energy stored in a capacitor is given by
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(2)
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(3)
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(4)
The impedance of a capacitor is given by
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(5)
The charge stored by a set of capacitors in parallel is given by
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(6)
so it therefore follows that
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(7)
For capacitors in series,
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(8)
It therefore follows that
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(9)
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