ShmoopTube

00:04

Here's your shmoop du jour brought to you by christmas lights

00:06

bringing holiday joy the utility companies everywhere. Helen takes great [Christmas lights in a street and a building man appears]

00:11

pride in her home's Christmas light display, it's talk of the town and not always [Helen showing her christmas light display and people laugh]

00:16

in a good way this year's monstrosity features disco Santa shimmying to a

00:21

terrifyingly annoying tune take a look at the display here it uses a [A disco santa shimmying in different colors]

00:26

combination of capacitors to flash on and off day and night yeah like that

00:31

calculate the equivalent capacitance of the combination all right here the

00:35

potential answers ....all right well we say good for Helen everyone needs a hobby [A man pointing to a Netflix program on TV]

00:41

and kudos to her for rigging up her own electric works nothing like a [Helen electrocuted by a disco santa]

00:46

do-it-yourself neighborhood eyesore. Well to solve this question we just need to

00:50

do a little addition of the parallel capacitors and for the capacitors in

00:54

series we need to add their inverses well the inverse of the total [multiple capacitors and their inverses appear above]

00:59

capacitance equals the sum of the inverse of the inverses of the

01:03

individual capacitors. Second row has two capacitors each with a capacitance of 2C

01:08

when we add the inverses we find that the second line has a 1C

01:13

capacitance and we do the same with the third row.. now we can look at these as

01:19

three parallel capacitors and add them up with our finely honed math skills [Three capacitors parallel]

01:24

we're able to add up one plus one plus one to find a total equivalent [Disco Santa pointing to a maths equation]

01:29

capacitance of 3C making the correct answer option C so keep on

01:36

dancing Santa at least until one of the neighbors pulls the plug [Neighbor with Grinch face pulls the plug on the Disco Santa]

01:41

Full Transcript