00:01
Hello students, in the part of the question we have to find the equivalent resistance.
00:05
So let this be resistance r1, r2, r3 and r4.
00:09
Then 1 by r equivalent is equal to 1 by r1 plus 1 by r2 plus 1 by r3 plus 1 by r4.
00:21
Now substituting the values this is 1 by 6 plus 1 by 12 plus 1 by 36 plus 1 by 18.
00:32
Now this can be written as 6 plus 3 plus 1 plus 2 divided by 36.
00:41
Now calculating we get this is equal to 12 by 36.
00:45
Therefore this is equal to 1 by 3.
00:51
Therefore we get r equivalent, the equivalent resistance is equal to 3 ohms.
00:57
Now coming to the b part of the question we have to find the total current that is i total.
01:03
So for that first let us find i1 that is the current through the resistor 1.
01:08
This is given by v by r1 where v is given as 12 volts.
01:15
Therefore 12 divided by 6 and this is equal to 2 ampere.
01:22
Similarly we can find i2 which is given by v by r2 that is 12 by 12 ohm.
01:32
This is equal to 1 ampere.
01:34
Similarly let's find i3 which is v by r3 that is 12 by 36 and this is equal to 1 by 3 ampere.
01:49
Then similarly i4 is equal to v by r4 that is v is 12.
01:55
Therefore 12 by 18 and this is equal to this is equal to 2 by 3...