184_notes:c_parallel

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184_notes:c_parallel [2018/06/26 14:42] – [Node Rule and Charge in Parallel] curdemma184_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)
  
-[[184_notes:combinations|Next Page: Larger Combinations of Circuit Elements]]+/*[[184_notes:combinations|Next Page: Larger Combinations of Circuit Elements]]
  
-[[184_notes:c_series|Previous Page: Capacitors in Series]]+[[184_notes:c_series|Previous Page: Capacitors in Series]]*/
  
 ===== Capacitors in Parallel ===== ===== Capacitors in Parallel =====
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 ==== Loop Rule and Voltage in Parallel ==== ==== Loop Rule and Voltage in Parallel ====
-{{184_notes:Week8_14.png?350  }}+[{{184_notes:Week8_14.png?300|Loop rule breakdown for a circuit with two capacitors in parallel  }}]
 For the parallel circuit with capacitors, we again will now have three loops and thus three equations to check. Again start by marking the high and low potential locations in the circuit. For the first loop going clockwise, we see that there is a gain in potential from the battery and then a drop of potential across the capacitor: For the parallel circuit with capacitors, we again will now have three loops and thus three equations to check. Again start by marking the high and low potential locations in the circuit. For the first loop going clockwise, we see that there is a gain in potential from the battery and then a drop of potential across the capacitor:
 $$+|\Delta V_{bat}| - |\Delta V_{C1}| = 0$$ $$+|\Delta V_{bat}| - |\Delta V_{C1}| = 0$$
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 ==== Equivalent Capacitance ==== ==== Equivalent Capacitance ====
-{{  184_notes:Week8_15.png?500}}+[{{  184_notes:Week8_15.png?500|Circuit with capacitors in parallel, $C_1$ and $C_2$, and the equivalent circuit with $C_e$}}]
 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:
 $$Q_{bat}=Q_{C1}+Q_{C2}$$ $$Q_{bat}=Q_{C1}+Q_{C2}$$
  • 184_notes/c_parallel.txt
  • Last modified: 2021/03/18 03:07
  • by bartonmo