If the voltage V in an electric circuit is held constant, thecurrent I is inversely proportional to the resistance R. If thecurrent is 60 amperes when the resistanc...

Solve. If the voltage $V$ in an electric circuit is held constant, the current $I$ is inversely proportional to the resistance $R .$ If the current is 40 amperes when the resistance is 270 ohms, find the current when the resistance is 150 ohms.

Yeah, Hi there. In this problem, we have an inverse relationship between current and resistance. Current is I and resistances R and they're inversely proportional. That means this one goes up, the other goes down. So since they are inversely proportional, it means if we multiply them together, we should get a constant. I'm just going to call that constant K. So for this system, if current Times resistance equals this constant than for the same system another set of current times resistance is also going to equal K. Or, in other words, we can set up a relation an equation here that says, the current times the resistance is equal to the new current times, the new resistance. So we have an equation here. Let's see about the values for these variables. Well, they tell us I won. The initial current is one half ampere. When the resistance is 240 Helps? Yeah, they want to know Cool the new current. If the resistance is 540 homes. Okay. Okay. So if we'll go, we have here we have an equation that says I one times R one equals I two times are two in other words. It has four variables and then we see that we have three out of these four variables so we can plug these values in and solve for the one variable that we don't know. So let's go ahead and do that. So we have one half amp. Times 240 homes. Oh, equals I to which is what we're solving for times 540 owns. Alright. Multiplying one half times to 40 keeps me 120 and I noticed that have homes on both sides of the equation. So I'm gonna go ahead and cancel those out right now. So I have 120 amps, equals I to times 540. I divide both sides by 540. I can isolate I two by itself. She okay, so I too, if I take 1 20 divided by 540 I find that I to the new current 0.222 Actually, it's to repeating EPS. And that would be our answer for the second current. Mhm. Thank you for watching

It is given in the potion that current I is inversely promotional food understands that is our So we can say I is equals to be over are we get some constant in the ocean it is given under the current is half ampere when their stance it's 2 40 homes. From this we will calculate the value off V that is a quartz toe to 40 multiplied by half that is equals to 1 20 Now when the ocean is asking, find the current Venda the distance is 5 40 So here we put the value 1 20/5 40 less Cancel this from this is to buy nine So the answer is toe by nine and here

So current varies inversely with resistance. So that's this relation here. Resistance z times a constant of proportionality If currents 30 amps and the resistance is a domes. What's the current in the same circuit of the resistance is 10. So we need to use our initial conditions. So for K 30 is equal to K over eight. So K would be cool to 240. That means the current when the resistance is 10 OEMs will be equal to 24 lamps.

In the question. It is given that the current I in a circuit is inversely proportional to is the distance, said Highest Activision, will be. I equals care. Divided by that. All the value off current is given us 30 on the value offer. A distance is given its it using the value off I 30 and that is eight. In the equation, we get 40 equals, divided by eight, multiplying both the sites off decoration. With it, we get 30 multiplied with eight equals. K divided by it multiplied with eight solving it. The value off K is equal to 240 hence. The general equation is IYC was 240 divided by said. Now we have to calculate the value off current I when the distance values er is equal toe. Penn Holmes, putting the value off, said. In the linear equation formed, we get Isaac will toe 240 divided by then we get the value off I as equal toe 24 Embryo's