1 00:00:00,690 --> 00:00:07,089 These are some ideas for block 6. In exercise 1 remember the two formulas that you have to use. 2 00:00:07,089 --> 00:00:12,609 When you have a series-parallel combination like in question C, first you have to solve the branches 3 00:00:12,609 --> 00:00:18,929 that are in parallel. For this you have two resistors that are in series of 50 ohms and 4 00:00:18,929 --> 00:00:25,410 then solve the two branches that are in parallel. Here you have the results. This is the first 5 00:00:25,410 --> 00:00:32,590 operation you have to do and you get this result but this is not the equivalent resistance is the 6 00:00:32,590 --> 00:00:43,469 inverse that is the investor you have to look for this button in your calculator that says to you 7 00:00:43,469 --> 00:00:54,229 which is the inverse of a fee of a number finally you add these two figures 10 and 15 in question 8 00:00:54,229 --> 00:01:01,789 one F the first thing you have to do is to add these two figures 10 and 30 you 9 00:01:01,789 --> 00:01:10,010 get this preliminary result 40 ohms then you have two branches in parallel there 10 00:01:10,010 --> 00:01:21,349 are 40 ohms each use the formula of parallel and parallel resistors and then 11 00:01:21,349 --> 00:01:27,109 you have the equivalent resistance here that is 20 ohms and finally add these three figures and 12 00:01:27,109 --> 00:01:36,049 you will get the result exercise two is more complicated first in my opinion you have to 13 00:01:36,049 --> 00:01:47,989 number all the resistors resistor one two three four and five the first thing you have to do is 14 00:01:47,989 --> 00:01:55,750 to calculate equivalent resistance to do so you have to add these two resistors that are in series 15 00:01:55,750 --> 00:02:07,489 20 and 10 and then you have two branches one there are three and four and five so make this 16 00:02:07,489 --> 00:02:16,090 calculation 1 divided by 60 plus 1 divided by 30 you get this result and the inverse is 20 ohms 17 00:02:16,090 --> 00:02:22,030 then you can add the three figures 100, 150, and this 20 ohms. 18 00:02:22,270 --> 00:02:24,949 So your equivalent resistance is 270. 19 00:02:25,849 --> 00:02:34,030 Next step is to calculate the intensity through all the CKIT. 20 00:02:34,349 --> 00:02:40,150 Remember that this is the intensity that is flowing in this branch and also in this branch. 21 00:02:41,110 --> 00:02:47,110 the total intensity is the voltage of the cell divided by the equivalent resistance so you get 22 00:02:47,110 --> 00:02:55,830 the result and then they are asking you all the intensities that are flowing through each resistor 23 00:02:56,550 --> 00:03:03,990 in resistor one you have the intensity of the c kit in resistor two you also have it but here 24 00:03:03,990 --> 00:03:11,030 it's divided in two branches to calculate it through the arms law you need to know the voltage 25 00:03:11,750 --> 00:03:24,389 that is left in this resistor we know that we have 10 volts that is being used through resistor 1 26 00:03:24,389 --> 00:03:34,789 resistor two and here between in resistor three you have the same voltage between these two points 27 00:03:34,789 --> 00:03:42,310 and between this and this so what i'm going to do is to calculate voltage in resistor one 28 00:03:42,310 --> 00:03:53,030 in resistor two and then the left is um the amount that is left between these two points 29 00:03:53,030 --> 00:04:00,229 is going to be resist the voltage in resistor three here you have the calculations so voltage 30 00:04:00,229 --> 00:04:08,469 in resistor one is the total intensity by resistor one so you have 3.7 volt in resistor voltage in 31 00:04:08,469 --> 00:04:18,310 resistor 2 is 5.6 volt you add these two figures and you get that you are using already 9.25 volts 32 00:04:18,310 --> 00:04:36,870 so the remaining that i have is 0.75 volt so the voltage in resistor three is 0.75 volts 33 00:04:36,870 --> 00:04:42,870 with the ohm's law you can calculate the intensity that is going through this resistor 34 00:04:43,509 --> 00:04:53,750 voltage divided by resistance 0.75 volts divided by 60. you have this uh intensity the intensity 35 00:04:53,750 --> 00:04:59,110 in the other two resistors is equal because they are in series in the branch that is in 36 00:04:59,110 --> 00:05:06,230 parallel with resistor 3 and you can calculate making this difference the intensity that you 37 00:05:06,230 --> 00:05:15,110 have in in the origin in your in your cell and you make this subtraction with 38 00:05:15,110 --> 00:05:22,970 the intensity number three and then you can get these results check that you 39 00:05:22,970 --> 00:05:33,110 have these results finally in all your resistors in exercise three we have two 40 00:05:33,110 --> 00:05:38,629 resistors that are in series with three in parallel. The first thing to do is to 41 00:05:38,629 --> 00:05:48,350 calculate equivalent resistance. Here we have to 42 00:05:48,350 --> 00:05:54,410 calculate these three branches that are in parallel and this is the operation 43 00:05:54,410 --> 00:05:59,149 you have to do. The three resistors are equal so the result is 3 divided by 30 44 00:05:59,149 --> 00:06:06,269 but the equivalent resistance is the inverse that is 30 divided by 3 that is 10 ohms so you add this 45 00:06:06,269 --> 00:06:16,990 figure to the other two 200 and 100 and the equivalent resistance is 310 ohms um as these 46 00:06:16,990 --> 00:06:22,910 two resistors are in series the intensity that is going to be the same and equal to the total 47 00:06:22,910 --> 00:06:29,629 intensity we calculate as always with the voltage of the cell divided by equivalent resistance and 48 00:06:29,629 --> 00:06:36,750 is 0.08 ampers. With this figure we can calculate the voltage that is 49 00:06:39,069 --> 00:06:45,149 being used by these two resistors 1 and 2. You have to calculate exactly the same as you have 50 00:06:45,149 --> 00:06:53,149 on in the previous exercise with the ohm's law voltage in one is the intensity by resistance 51 00:06:53,149 --> 00:07:00,189 is this figure and voltage in two is this figure so you can calculate the addition of these two 52 00:07:00,189 --> 00:07:06,990 voltages and the remain with the voltage of the cell that was 25 volts is the voltage that you 53 00:07:06,990 --> 00:07:15,629 have involved in the resistor number three um now you have the voltage that you have in this 54 00:07:15,629 --> 00:07:22,350 in these three uh here in these three resistors because it's the same the voltage in resistors 55 00:07:22,350 --> 00:07:28,189 three four and five as they are equal and they are in parallel is the same and finally you have 56 00:07:28,189 --> 00:07:33,470 to calculate the intensity that is going through these three resistors but it's this is very easy 57 00:07:33,470 --> 00:07:39,550 because the total intensity that is coming through this way is divided into these three branches as 58 00:07:39,550 --> 00:07:44,829 the three resistors are equal the intensity through them is going to be the same and it's 59 00:07:44,829 --> 00:07:51,470 going to be the third of the total intensity so finally you have here the results that we're 60 00:07:51,470 --> 00:08:02,029 asking in the exercise number four you have two branches in parallel and one resistor number one 61 00:08:02,029 --> 00:08:08,829 that is of one kilo ohm be careful uh i think this was a mistake from the book because it's 62 00:08:08,829 --> 00:08:14,269 uh very big well uh first of all as always a total equivalent resistance 63 00:08:14,269 --> 00:08:20,110 are these two figures in each brand so you have three plus two five and four plus five nine volts 64 00:08:20,750 --> 00:08:27,949 so uh these two in parallel uh one divided by you have this result that is 0.31 65 00:08:28,509 --> 00:08:36,110 and the inverse of this is 3.21 that you have to add to the resistor number resistance number one 66 00:08:36,110 --> 00:08:44,590 that is one thousand ohms so this is your strength sphere of the equivalent resistance the total 67 00:08:44,590 --> 00:08:52,429 intensity it's always voltage divided by resistance you have this figure almost nine milli amperes you 68 00:08:52,429 --> 00:09:04,110 can um seek out it well the third question is the voltage across is each resistor to calculate it 69 00:09:04,110 --> 00:09:11,309 we need to know uh which is the voltage that's be it's being used by resistor one and you can 70 00:09:11,309 --> 00:09:16,429 calculate because you know that the intensity that is flowing through this resistor is the 71 00:09:16,429 --> 00:09:26,750 total intensity so you multiply it whatever for by the value of the resistance and you have 8.97 72 00:09:27,470 --> 00:09:38,029 volts that is almost the whole uh nine volts that you have in the in the cell so 73 00:09:38,029 --> 00:09:47,830 So the remaining voltage, that is this amount, that is 29 millivolts, is used by these two branches. 74 00:09:48,210 --> 00:09:54,429 But the voltage in each of them is not the same because the four resistors are different. 75 00:09:55,230 --> 00:10:04,690 What we have to calculate now is the intensity that is going through each of the branches with this value of 29 millivolts. 76 00:10:04,690 --> 00:10:21,370 Then we can calculate with the Ohm's law. Well, I have done it with intensities divisor, but you can also calculate it with the Ohm's law. 77 00:10:21,370 --> 00:10:44,429 You have these two intensities making this average here and finally you can calculate the voltage in each of the resistors. As you can see the voltage in these four resistors is really small and the intensities are equal to light 2.