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Three identical capacitors are connected in parallel to a potential source (battery). if a charge of q flows into this combination, how much charge does each capacitor carry?

Sagot :

Each capacitor carries a charge of 1/3q as they are identical.

  • These capacitors are identical and the combination is connected in parallel to each other.
  • So each should receive an equal portion of the total charge when received from the power source.
  • If the combination is connected in series to each other, then each one would receive the same amount of charge, not a portion of the total charge (in such a case the total charge would be 3q).
  • To know this more precisely, consider the simple formula used for a capacitor: [tex]Q = CV[/tex].
  • In a parallel arrangement, the potential is the same for each one and since the capacitance is equal, the charge one would carry is the same as well.
  • Then the total charge [tex]q[/tex] is the sum of each capacitor's charge which yields [tex]q = 3Q\,\,\to\,\,Q = \frac{q}{3}[/tex] .

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