questions-1517-all-refer-to-the-below-circuit-diagram-if-both-switches-s_1-and-s_2-are-left-in-the-u

Question

Questions 15–17 all refer to the below circuit diagram.
If both switches $S_{1}$ and $S_{2}$ are left in the unconnected positions, what
is the current through the resistor labeled $R$ ?
(A) 0
(B) $\frac{15\left(V_{1}+V_{2}\right)}{68 R}$
(C) $\frac{15\left(V_{1}+V_{2}\right)}{103 R}$
(D) $\frac{15\left(V_{2}-V_{1}\right)}{68 R}$

Nishant Kumar · Accepted Answer

in this problem in the circuit, both of the switch are left unconnected. So here we can see that this switch is not connected to here or this which is not connected to here. So if we try to see a current path from, let us say walter source, we even then can&#x27;t flows from here go to year and the circuit blocks at this position where is to is to be connected to point B. Similarly, if we go from battery, we too, the current will stop here at point A. Because it is not connected to switch as well, so we cannot complete a circuit in any way. If both the switch are left unconnected, this means that there will be no current flowing in the circuit and hence the current I uh the grand flowing through the sister are will be simply zero and Pierre. So the answer is zero. This completes the solution. Thank you.

Ze-Han Lee · Answer

All right. So in this problem, as one as to their both unconnected. So in that way we see that Ah, there is actually no current through this. Ah, through some of the resist that label my arm. Okay. Occurrence in 20

Ze-Han Lee · Answer

All right. So in this problem Ah, so as to is ah, left unconnected and asked why is connected to be so we simply we have this circuit free. So, uh, yeah, this is a connected So the equivalent resistance in the circuit ihsaa are So are these over here? Okay. And two are four there in parallel. So the total resistance is to our times for Do you like to our plus four and, uh, the this to their Olsen parallel. So that&#x27;ll resistance. All this, too, is, uh, well, over three are times went over to our they lied by. Went over three are plus one over to our Okay, so this gives you 38 over 15 are Okay, so the current inside this is the circuit equal V one over r acute equivalent. So there&#x27;s our equivalent so equal 15 we want over 38. Are you okay?

Ze-Han Lee · Answer

All right. So in this circuit, if way Ah, thanks. Disconnect as one. And ah, we connect us to to a So we see that that equipment circuit ihsaa this part. Ah, so this will be the equivalent circuit, right? So Ah, then we see those. This too are in this four. They&#x27;re they&#x27;re connected. Parable. So the combined resistance off them is one over. Sorry, it&#x27;s the two aren&#x27;t times four bye bye to our plus four, which gives you three. 41 of three kinds are so total resistance in the circuit is 43 times are plus R plus two are ray. So this gives you the ting over three times are so the current inside this Ah ah circuit is, uh, my equal. Free to do. Bye bye. 13 over three times are right. So this gives you three V two over 13 are okay.

Ren Jie Tuieng · Answer

What got show? Were given two different circuits. Uh, we trifle able as a and B. So a starts to get a top and peace to you people. Why did he seem some of the, uh, Petrie&#x27;s? It&#x27;s really similar resistance in the same positions. But only difference is 30 direction off. A battery for V two is different, right? Is shot over, like between A and B. We&#x27;re going to see how this affects our current. So first off, uh, gonna assume the Democratic current. All right, that is for a you&#x27;re gonna saw for the first. I&#x27;m gonna assume this is current I one since he passes true resistor want and in this junction. But I assume dirty current flows in this direction. This real call I to and over here, we&#x27;ll assume that it is doing in this particle traction. We&#x27;ll call this tree. So from this junction over here, this junction we use coach off through we should be able to get a get an equation. I will be I one plus I tree goes to to knicks. I&#x27;m gonna use cut. Ah, you cut your shoe to look at different loops in our circuit and we gonna use these two groups? So first up is and he could twice Sorry. This is ah twice don&#x27;t waste direction on the left in sight. Right for the small group and then being included already Lunch crosswise direction But for the altar. So these two loops. So for the first look we have passing through the battery everyone Dennett puzzles true one in the same direction as current. So we gets one I want so u minus a We know what I want. Yeah, he pauses to our 2 50 seem direction again. So this are too. It is 20 by coach Also the only question is gonna get poopy out rich. First we postulated battery in the right direction so that we head up to you. Potential difference. So that&#x27;s few one. They passed a veto but in the wrong direction, right from plus to minus. So we must subject away too. They re postural our tree If I treat in the same direction is the current that we assign So don&#x27;t be are tree I treat then next repulsed you are too Today&#x27;s are too high to create at 20 So over here we have triana loads eye to eye tree and I won. We treat questions. You should be able to sof this simultaneous equations. So one off the way is to, uh, reassign I to my eye to really know it&#x27;s he goes toe I want plus I tree So we substitute that to an equation Say, ah, discretion over here will be the second equation We will get to undaunted the secretion which is I one and I tree we make I want the subject for no So we get I when it goes toe I tree times something we substitute debt. Uh, sorry. We make I to we make treaty subject allergy formula since I took equation has I tree over here and every substitute Archie into this equation as well as I to say secretion, we should be with self for the entire equation. So for our tree unknowns, you should get one two people. So my six gm&#x27;s I, too to be sure point for many years and interesting. You get i tree to be, uh, close, too negative. 2.2 years in the reason why is negative because we assigned t direction off the current wrongly so the actual current will be in dis direction. All right, this is the tree correct direction. So the negative sign just tells us that it should be in this particular direction rather than the direction that we assigned it to be next. You&#x27;re gonna do the same process for Oh, it&#x27;s against the kids. I assume the Sistine direction of the current I one I to I treat. We have very, very similar equations. Ah, but this time it&#x27;s gonna be slightly different for ah, equation the big look. So we&#x27;re gonna do the same thing, this small upon the left and any big group or the outer The first equation would be the junction room. So that&#x27;s you seem I want us. I tree close to I to the second equation ISS the small look over here on the left, in sight in the cut wise direction. First we passed the battery view one in the right direction. Let me puss, I want one. Not very parts I two r two create their 20 for the outer past few. One for us. Very pass veto Seem correct. Order from minus to plus. So we get up to go. Very pass Tree artery. Very plus I too want to create that zero. And in this case gets I want because 2.4 mediums I to it goes toe point fight too medium and I treat would be close to one point for eight years. So old tree i d right direction that we have actually assigned like so they are in this particular order to calculate what is the power output? Like what? Tasty. Participated by a short circuit. We make you softy current February phone It&#x27;s a poet goes I square are right We know the current passing through each off the resistor Israel Asti Resistance off the resistance So we just take I want square one last two square or two pass I treat square treat in the first case before the first Our first look we should get your point to me. What&#x27;s this for? A For B should get 4.5. Media wants just substituting in the current it e resistance. Finally et polo that&#x27;s being supply so we don&#x27;t add power supply. It must be close to the power being dissipated. So there&#x27;s Jesse course toe off these values. They really cooperated from the polity. Speed it

Jayashree Behera · Answer

so digital. Mind the current flowing through our tree to be equal to two ampere. Now again, we can use onslaught to find the world. It&#x27;s drop across on tree blooms. Losses that is equal to times are so we can find the world is dropped across Artie by using this equation. So we have to UN beer, which is the current going through the resistor on the value off the resistance. Just one. And this gives the world its drop to be Duval&#x27;s. So the correct answer is going to be option a.

Problem

When a person runs to the right, as shown above, …

Problem 17 Easy Difficulty

Answer

A

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