Three capacitors are connected in parallel across a battery

PHYSICS · Multi-part · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

Three capacitors are connected in parallel across a 12 V12\,\text{V} battery. • C1=0.47 μFC_1 = 0.47\,\mu\text{F} • C2=1.0 μFC_2 = 1.0\,\mu\text{F} • C3=4.7 mFC_3 = 4.7\,\text{mF} Assume the battery is ideal and that all capacitors are initially uncharged. (1) Calculate the equivalent capacitance of the combination. Express your answer in both microfarads and farads. (2) Determine the total charge stored on the combined set of capacitors once the battery has been connected for a long time. (3) Compute the total energy stored in the capacitors after they are fully charged. (4) Identify which capacitor stores the greatest individual charge. Explain your reasoning by referring to relationships among the relevant physical quantities.

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