00:01
In this video we will be exploring resistors that are connected in parallel and you know working procedures to find out the total resistance within the system so let's take an example problem with three 2 .5k resistors and one 3 .4k resistor connected in parallel the total resistance is required of the system so they're asking us to show the working procedure and they're asking us to select an answer from a, b, c or d.
00:33
So let's look at a resistance that is connected in parallel.
00:37
So this is how resistance connected in parallel would look like.
00:41
So you've got resistance r1, r2, r3 and r4 that are all arranged in a parallel form.
00:47
So there is a formula in place for finding the total resistance of the system.
00:55
So the formula would be one by the total.
01:00
R total which is the resistance total will be equal to 1 by r1 plus 1 by r2 plus 1 by r3 plus 1 by r4 we've got just 4 we've got just 4 resistance here but if you have so many of them you would you would say that would be plus dot dot dot divided by 1 by r n where r r r where r r would be the number of resistance and can range from n can be one to basically infinity and is the rn is the resistance in the system so n can go from one to infinity so you can have as many as many as many as you like but in this particular problem if we read the problem once again there are three 2 .5k resistors and one three three point five 4k resist which would mean we only have four resistance here so that would mean in this particular system you got r1 to be equal to 2 ,500 oms 2 equals to 2 ,500 oms 3 would be 2 ,500 oms again and r4 is 3 ,400 so that's what it says.
02:45
It says 3 .4k resistors and 2 .5k resistors...