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Question 11 (5 points) All the resistors are 4 Q each: Which of the following combinations of 4 Q resistors would: dissipate 12 W when connected to a 12 V battery?...

Question

Question 11 (5 points) All the resistors are 4 Q each: Which of the following combinations of 4 Q resistors would: dissipate 12 W when connected to a 12 V battery?

Question 11 (5 points) All the resistors are 4 Q each: Which of the following combinations of 4 Q resistors would: dissipate 12 W when connected to a 12 V battery?



Answers

Two $4-\Omega$ resistors are connected in parallel to a $12-\mathrm{V}$ battery. Use the fact that the voltage across each of the resistors is $12 \mathrm{V}$ to find the total current through the battery. What single resistor, if connected to the battery alone (called the equivalent resistance), would draw this same current?

Twist on to distance. Haven't Pullum register instances given So And this is back to the panel with the dribble battery. So I will accept that four. And our courage. Obviously they're saying it off. This is a long way. See, also on the factory, having voltage is equal to know bold this human in the course and all of the dark knight is given. So you have to use the fact that being trying separate here from television with individual a Jason No, Nancy, this is the battery, and the law is the battery and the recently are one Did are two this be so we have to use the fact that the potential difference around here since 12 old, so current apartment. So we have to admit I want the current will be like this one destroy and I want you see, I do. So I want to be with me about that. So this will come on the will of encore this one to the of you. No looks part coming that I two r two will be seen because Walesa different situations have seen. So this is Philip on for visiting reappeared so technically drawn from the battery will be. I physical. So I want Palace. I do. So this will become three plus 36 MPs And now we have to cover a single distance. You should of this one. Or rather, you can say that no combination of the resistance are the equivalent of a stencil. You know, I equals me of one r r equals the bond I So what is the difference? It's two years old and I eat six. So this room So this is that, instills Instead of the students generally commemorations, we can say.

40. Given that I can draw a circuit, something like this. Just look at it carefully. I am doing the circuit after that. I will simplify this problem. So these circuit looks something like this which I am drawing here. I will also right all the value which are given in the problem. So this is the circuit. Yeah. I didn't draw the rub diagram of the circuit. Now I'm writing all the value. So this value is 12. Hold here the resistors are forum and here the resistors are a tomb here. The current age. I now for the circuit I can write the cube gallant resistance rated B. R. Which is equal to eight. Multiplication eight by eight plus eight Plus four multiplication. Food by food plus food which is equal to six on. Now current I is equal to 12 by six which is equal to two mps. No, because the to the existence in each pair are equal so current. Raw. Each resistance let it be I. R. is equal to two x 2, which is equal to one MP. Here. Now, before it required to my multiplication four multiplication four by four plus four, which is equal to two multiplication for multiplication four by four plus four, which is equal to four old. Now, voltage across the eight home resistor. B a t is equal to I. Multiplication eight multiplication eight by eight plus eight, which is equal to two, multiplication, it multiplication eight by eight plus eight, which is equal to eight gold.

Hi in the human problem voltage of the battery As we is equal to 10. Hold, The value of the resistance is R is equal to 50. Now, for the first circuit the two resistors are in series. Hence the net resistance of the series combination will be given by five home plus five homes. This is 10 home. So the current passing through the circuit using arms law will be given by I one is going to be by R. S. So this is 10 by 10 means this is 1.0 and here no. For the 2nd circuit. Now the resistors are in parallel and we know when two identical resistors are in parallel. The next resistance is given by the value of one resistance divided by the number of resistors. So this is five divided by two. Hence it comes out to be 2.5 oh. So now using the same Homes Law again, The current passing through the circuit will be I-2 is equal to be by RP means this is Stan Walter divided by 2.5 home. And here this current comes out to be four mps, so the difference in the two currents delta I is equal to I two minus Ivan means this is four ampere minus one ampere. And Finally it comes out to be 3.0 and hear the difference in the currents in the two circuit. And this is the answer for the given problem. Hence, we can say here, Option C is correct. Thank you.

And this problem you have to resistors of five homes connected in Siri's and connect in parallel, and we are asked to fund the difference between the total current produced in each circuit. Well, in this first series circuit, my total resistance can be found by just adding my resistors together. So that gives me a total resistance of 10 homes and we can apply homes Law, which was equal to vehicles i r V being our voltage, divided by total resistance, gives me total current off one EMP for my current four of my two resistors in Siri's. And then, if I look at my resistors in parallel, these are added differently than resisted. In Siri's Sofer resistors in parallel, I actually have to add the inverse and then in verse that function so I can say one over five plus one over five gives me to over five. But that's not my final answer. That's equal to one over R, and I actually just want our p, my resistors, my total resistors in parallel, so I can inverse that to get a total resistance of 2.5 hopes. So, using same homes law, my total voltage divide it might buy my total resistance. So I have 10. Divided by 2.5 gives me a current off four EMS. So the difference between these the difference in temps three.


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