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Consider the circuit shown in Figure $P 18.11 .$ Find (a) the potential difference between points $a$ and $b$ and (b) the current in the $20.0-\Omega$ resistor.

a. 0.227 A

b. 5.68 V

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In the first part of this question, we are going to complete the potential difference between Point A and B. That is, well, maybe, let's say are one equals 2 10.0 are two equals to 5.0 that a tree close to 20.0. So for cities combination we can right are a prime nickels to our two plus our tree now setting the world is off to end our three. From here into this equation, we will get Ari prime equals to 25. No, for Caroline combination, we could light. I wonder what readable prime he calls to one by our want plus one by our two plus one by Ari Prime. Now setting the well is into this question We will get won by our edible prime equals torn by 10.0 plus one by 5.0 That's one by 25.0. So this will give us Ari double prime equals to 2.94 Now a readable prime and the remaining are wondrous stories in Siri's so we can write again. Ar e equals two are one plus a readable prime. Now sitting the Wellies off. This are one and a readable crime. Into this equation, we will get ar e equals to 12.94 The current supplied by the battery into the circuit is I equals two. We do want it by Ari. While sitting the values into this equation. We will get I calls too. 25 points. Your world divided, but will 250.94 This will give us aye equals to 1.3. So in 90 compare. No, we can write the equation for re A B s. We'll be equals to remind us I are one that scored Equation one. Now sitting the world is into this question we will get. We will be. He calls to 25 points here. Works minus into 1.93 impair into 10.0. So this is it wants to We have vehicles too. 5.6 set world. So this is the answer off us part of this question In part b of this question, we have to find the current passing through the resistance our tree. So let this guarantees I don't want using obsolete. We can, right? I want equals two. We have really wanted by Ari Prime. They're scoring equation, too. No writing Well is for the baby and Ari Prime We will get. I want equal to 5.6 network divided by 25 points your own. So this will be Iwas I want equals two 0.227 a pair. So end of the question