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184_notes:c_parallel [2018/06/26 14:44] – [Equivalent Capacitance] curdemma | 184_notes:c_parallel [2020/08/23 20:24] – dmcpadden | ||
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Section 19.1 in Matter and Interactions (4th edition) | Section 19.1 in Matter and Interactions (4th edition) | ||
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===== Capacitors in Parallel ===== | ===== Capacitors in Parallel ===== | ||
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==== Equivalent Capacitance ==== | ==== Equivalent Capacitance ==== | ||
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Finally, we can find the equivalent capacitance for capacitors in parallel. Again, we will do this by comparing the circuit with the two capacitors to one with a single equivalent capacitor, keeping $\Delta V_{bat}$ and $Q_{bat}$ the same in each circuit. From the node rule, we found: | Finally, we can find the equivalent capacitance for capacitors in parallel. Again, we will do this by comparing the circuit with the two capacitors to one with a single equivalent capacitor, keeping $\Delta V_{bat}$ and $Q_{bat}$ the same in each circuit. From the node rule, we found: | ||
$$Q_{bat}=Q_{C1}+Q_{C2}$$ | $$Q_{bat}=Q_{C1}+Q_{C2}$$ |