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Struggling to understand how this equation has been worked out

capacitorequation.pngcapacitorequation2.pngcapacitorequationms.png

My issue is in 15aiii, previous ones have been provided for context.

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Original post
by tigrispanthera
capacitorequation.pngcapacitorequation2.pngcapacitorequationms.png

My issue is in 15aiii, previous ones have been provided for context.


Unsure what is your issue.

The equation is the sum of the potential differences across various components.
Original post
by tigrispanthera
capacitorequation.pngcapacitorequation2.pngcapacitorequationms.png

My issue is in 15aiii, previous ones have been provided for context.


What didn't you understand exactly?

The maximum potential difference (5 V) is the sum of resistor (VR) and capacitor potential difference (VC):

5 V = VR + VC

Converted to VR is:

VR = 5 V - VC

Using the general term for VC given in the solution and 5 V = V0 (highest voltage saved in capacitor before the switch is closed), put these in converted equation and you get the formula you need to show.
(edited 4 weeks ago)

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