00:01
In this problem, we have been given the following circuit and we are required to determine the total resistance of the circuit, total current that's flowing in the circuit, and also we have to determine the current and voltages across each resistor which is flowing.
00:17
And of course, the current will be flowing and the voltage will be across the terminals of the resistors.
00:24
So first we observe that in order to compute the total resistance.
00:27
So here we will note down all the values.
00:29
So the total resistance can be computed by first observing that these two resistors, they are in parallel.
00:37
And here we apply this expression to compute the resistance in parallel combination.
00:42
So that's three times six, which is 18 over 9.
00:45
That's 2 oom.
00:47
And now we observe that this r1 and the combination of these two resistors and r4, they are in series.
00:53
And the total resistance will be 2 oom plus 2 om that we figured out here plus r4, which is 4 oom and this comes out to be 8 oom so that's the total resistance and we can compute the total current which is flowing in the circuit and even that's coming out of this battery so here we use omslaw and according to that we is equal to ir so the voltage is 24 the resistance is 8 om and the current is i so on simplifying this expression we get the current coming out to be 3 ampiers and that's the total current which is flowing through this circuit and we observed that this current it will be same which is flowing through this r1 and even r4 because whatever current is coming out of the battery same current will be entering the battery from the other side so this i1 and i4 that will be three amperes so we update that value here and we can even compute the voltages across the resistor r1 so we just apply homslaw to compute the voltage whereby we multiply the current and resistance.
02:05
So to compute v1, that's the voltage across r1, we multiply i1 with r1...