One can generate high voltage by taking a large number of capacitors, charging t
ID: 1962225 • Letter: O
Question
One can generate high voltage by taking a large number of capacitors,
charging them while they are connected in parallel, and then reconnecting them in series.
Suppose you take 140 capacitors of 0.50 F and connect them in parallel to a 9.0 V
battery. Once they are fully charged, you reconnect them in series (without the battery).
What is the potential difference across that combination? How much charge did the
capacitors absorb from the battery while charging? How much charge will they release if you discharge the series combination? Comment
Urgent answer needed with Drawings and verification (at least a unit check) required wherever possible
Explanation / Answer
Given Capacitance of capacitors 0.5 F Voltage across battery V = 9.0 V A 140 capacitors are connectedin parallel combination Equivalent capacitance is C eq = 140 ( C ) = 140 * 0.5 F = 70 F Total charge on the circuit is Q = Ceq V = 70 * 9.0 = 630 C ________________________________________________ The capacitors are reconnected in series combination Equivalent capacitance is C = 0.5 F / 140 =0.0035 F Potential difference across the circuit is V = Q / C = 630 / 0.00357 = 176399 V = 1.763*105 V ________________________________________________ Charge did the capacitors absorb from the battery while charging Charge on each capacitor q = C V =0.5 F * 9.0 V =4.5 C _________________________________________________ Each capacitor in series combination carries the same charge . charge will they release if you discharge the series combination 630 C _________________________________________________ Each capacitor in series combination carries the same charge . charge will they release if you discharge the series combination 630 CRelated Questions
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