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Three $9.0-\Omega$ resistors are connected in series with a $12-\mathrm{V}$ battery. Find (a) the equivalent resistance of the circuit and (b) the current in each resistor. (c) Repeat for the case in which all three resistors are connected in parallel across the battery.

\begin{array}{l}{\text

{ a. } 27 \Omega} \\ {\text

{ b. } 0.44 \mathrm{A}}\end{array}

c. no answer available

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It's been said that 39 over distances are connected in cities, So first we'll make a circuit in the village. We try to connect 39 number the census in cities with about three a dashed, which is off 12 world. It is given eager distance is off. Nine home and the current flowing through them is generated, as I should now step, eh? Let Yuki violent resistance off the circuit. Be Artie predicting traditional. So when three. The distance society in cities, we just add them to find the Grail a resistance. So the value of party would be nine home plus nine homes plus nine arms. So that comes to 27 homes. So this will be the first answer. Let's talk about step be We need to find current in each register. So let current in the circuit be. I read it. In addition as I because the CDs the current remains sing. So by using alms law, we can write it as BZ quarter to I multiplied by violent resistance. Therefore, I is equal to be upon Artie, with the value of portage is given us troubles and granted the distance is off 27 hours. Therefore, the value of current that we get here is 0.44 amperes. So current flowing through each of them is off 0.44 amperes. It's considered the steps, see when three. The distances are connecting cities. So let's make ah circuit first. So I'm connecting here three distances Hey, each off 90 with a battery off 12 World dashed and battled through that. This is a main current Regis ruling in the circuit and then it is divided into three components. I will be noted as island I to and this will be I three. Each resistance is off nine wood as they have already mation that no, let the valid resistance be are we will take the notation as are we. The formula for that is our P is equal to since they are connected in paddler It would be one upon Armand blessed one upon our two plus one upon our tree and we'll take the inverse of that. So finally, to gather this good for r P is equal to it's one upon nine less one upon nine this one upon ni and fingers This coming as one upon three and we need to take in mercy, Alfred. So that is coming as to your arms. So Roger of the corral intra distance when three distances are connected in parlor is true homes. In order to find the current tow each of them so answer to find current two e trade, Mr. Since they're connected in cities and attached to a duel with battery. Therefore we can directly calibrate it Does I. One is equal to y two is equal to white tree and it will be a combination off mortgage upon thrown a distance value. That is a true distance. Sutro do. I did my nine. It is coming as one born 33 amperes. So this is the value of current which is flowing through each of them.