PHYS
S13Phys2BaLec25B

# In this circuit both capacitors would have the same

• Notes
• 18

This preview shows pages 10–15. Sign up to view the full content.

In this circuit, both capacitors would have the same potential difference as the battery. Δ V bat = Δ V 1 = Δ V 2 Plus, we can say that the charges on either plate are equal to the total that passes through the battery. Q Tot = Q 1 + Q 2

This preview has intentionally blurred sections. Sign up to view the full version.

Capacitors We can essentially replace the two capacitors in parallel with one equivalent capacitor (this may make our life easier). The equivalent capacitor must have exactly the same external effect on the circuit as the original capacitors. The battery sees Q Tot passing through it and believes that the one equivalent capacitor has a potential difference of Δ V.
Capacitors So, to the battery the equivalent capacitance is: The equivalent capacitance of capacitors in parallel is greater than the individual capacitors. In general, for parallel capacitors:

This preview has intentionally blurred sections. Sign up to view the full version.

Capacitors We can also have two capacitors hooked up in series to a battery. In this case the potential difference across the battery is no longer equivalent to the potential difference across either capacitor. But since the right C 1 plate gets its negative charges from the left C 2 plate, we can say that the charge on either capacitor must be the same.
Capacitors This means that the charge passing through the battery is equivalent to the charge on either capacitor. Q Tot = Q 1 = Q 2 Also, the potential difference across either capacitor will sum to be the potential difference across the battery.

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern