Moderate

The diagram shows four 6- µF capacitors. The capacitance between points a and b is:

Correct answer: D. 6µF

  • A. 3µF
  • B. 4µF
  • C. 9µF
  • D. 6µF

Explanation

When capacitors are connected in series, the equivalent capacitance Ceq is given by: 1/ Ceq = 1/C1 + 1/C2 + ... + 1/Cn1/C eq =1/6 + 1/6 = 2/6 =1/3So, the equivalent capacitance for the 2 pairs of capacitors in series isCeq = 3µF (for each pair of capacitors.)When capacitors are connected in parallel, the total or equivalent capacitance Ceq is the sum of the individual capacitances. Mathematically, it is given by: Ceq = C1 + C2 + ... + CnSo, the total equivalent capacitance for the 2 pairs of capacitors that are parallel isC total eq = 3+3 =6 µF

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Electrostatics describes forces between charges through Coulomb's law, electric fields and field intensity, then uses electric potential to measure energy per unit charge. Capacitors store charge and electrical energy, with capacitance depending on geometry and dielectric material, not simply on the amount of charge present.

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