Capacitor, circuits and how much charge is transferred

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SUMMARY

The discussion centers on the behavior of two parallel plate capacitors, each rated at 6 microfarads, connected in parallel to a 10V battery. When one capacitor's plate separation is reduced by 50%, its capacitance increases to 12 microfarads, resulting in a total capacitance of 18 microfarads for the system. The charge transferred by the battery is calculated as 1.8 x 10^-4 C, while the original configuration could only hold 1.2 x 10^-4 C, leading to an increase of 6 x 10^-5 C in total charge stored. Clarification is sought on the distinction between the questions regarding additional charge and the increase in total charge.

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  • Understanding of capacitor fundamentals, specifically parallel plate capacitors.
  • Knowledge of capacitance calculations using the formula C = ε A/d.
  • Familiarity with charge calculations using the formula C = Q/V.
  • Basic grasp of electrical circuits and how capacitors behave in parallel configurations.
NEXT STEPS
  • Study the effects of varying plate separation on capacitor capacitance.
  • Learn about energy storage in capacitors and how it relates to charge and voltage.
  • Explore the concept of equivalent capacitance in parallel and series configurations.
  • Investigate percentage change calculations in electrical contexts.
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Homework Statement



Two parallel plate capacitors, 6 microfarads each, are connected in parallel to a 10V battery. One of the capacitors is then squeezed so that its plate separation is 50% of its initial value. Because of the squeezing, (A) how much additional charge is transferred to the capacitors by the battery and (B) what is the increase in the total charge stored on the capacitors?

Homework Equations


C = ε A/d
C = Q/V


The Attempt at a Solution



I used C = ε A/d and found that the new capacity of the squeezed together capacitor is 12 microfarads. I then constructed an equivalent capacitor, with capacity of 18 microfarads and 10 V. I found that the charge (Q) here is (18 x 10^-6 Farads)(10V) = 1.8 x 10^-4 C.

The original capacitor configuration, with equivalent capacity of 12 microfarads, could only hold 1.2 x 10^-4 C, so I found that the difference in charge was 1.8 x 10^-4 C - 1.2 x 10^-4 C, which equals 6 x 10^-5 C.

I'm not sure whether this approach is right...and if it is, I don't know whether it's the answer to A or B. I can't tell the difference between what A is asking and what B is asking. If anyone could explain whether my approach is applicable to either A or B, and could also explain what the difference is between what both are asking, I would be super, super grateful.

Thanks!
 
Physics news on Phys.org
Your approach looks fine for answering part A. Usually when a question asks "what is the increase" or "what is the decrease", they are looking for a multiplier (e.g. '5 times larger') or a percentage increase or decrease.
 

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