Battery connected to capacitors in series

AI Thread Summary
A 12-V battery is connected to three capacitors (4.0 µF, 14 µF, and 33 µF) in series. The total capacitance in a series connection is calculated using the formula 1/C_total = 1/C1 + 1/C2 + 1/C3, rather than simply adding the values. To find the voltage across the 33 µF capacitor, the charge (Q) can be determined using Q = C * V for each capacitor, noting that they all share the same charge. The voltage across each capacitor can then be calculated by rearranging the formula to V = Q/C. The discussion highlights the need to clarify the approach to finding the equivalent capacitance and the voltage across individual capacitors.
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Homework Statement


A 12-V battery is connected to three capacitors in series. The capacitors have the following capacitances: 4.0uF, 14uF, and 33uF.


Homework Equations



R = V/I

The Attempt at a Solution


I'm thinking you add the capacitances since they are in series (do i need to convert them from uf to F?) but I'm not sure what to do after that
 
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you don't add them. This should be in your textbook somewhere. You can derive the equation to use with Q = UC (charge = potential difference * capacitance), together with the fact that all of the capacitors have the same charge (if they started out empty) because the same current has gone through them always.
Compute the potential difference across the 3 capacitors with Q=UC and the sum of them should be 12 V
 


I forgot to add the actual question of what they are looking for: Find the voltage across the 33uF capacitor
 
Last edited:


Ok so I know you use Q = CV. But I am still confused about how to find C.
 


anybody?
 
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