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Consider a regular tetrahedron. The four vertices are connectedwith each other with six conducting wires. Each wire has aresistance of 0.31 Ohm. Find the equivalent...

Question

Consider a regular tetrahedron. The four vertices are connectedwith each other with six conducting wires. Each wire has aresistance of 0.31 Ohm. Find the equivalent resistance between anytwo of the vertices.

Consider a regular tetrahedron. The four vertices are connected with each other with six conducting wires. Each wire has a resistance of 0.31 Ohm. Find the equivalent resistance between any two of the vertices.



Answers

A regular tetrahedron is a pyramid with a triangular base. Six $10.0-\Omega$ resistors are placed along its six edges, with junctions at its four vertices. A $12.0-\mathrm{V}$ battery is connected to any two of the vertices. Find (a) the equivalent resistance of the tetrahedron between these vertices and (b) the current in the battery.

In this question we have. We have six resistance off each 10 homes arranging a tetrahedron. Okay, so, um, the trump with battery is connected. True that what he says. And we need to find a, um, equivalent resistance off the petrol region. And then as well as the current, the bed. She Okay, Okay. So to do this problem, we need to redraw the circuit. So, um, so the city can be redrawn to this way. Okay, so we start with chocolate Petrie, and then this is a Then this is speed. There's a resistor in between. And then, uh, from me, too, See? Hey, there's a resistor here. You to see? Then There's also a resistor from a to D, right? Uh huh. Then there's also resist between Yeah, the three point got together two points. I see here and here. Mhm. So if you re draw again, and then it becomes okay, and then there's a resistor here. So the six resistance are arranging this way. Okay. And then, um So you recognize that, uh, here. Does this problem network here? Okay, they are going to have the same potential difference. Like chalkboards across these two point right. So here will be six words. Here will be six words on this resistor. We have no current eso. You can ignore that resistor. Okay, so we can reduce the never there is still becomes, um, into a parallel circuit. So this is to our to our and our and then we can reduce it further to become are in our okay, the two hour and the two hour parallel arrangement can be reduced toe just are, and then you can reduce it into are over to Uh huh. So by just rejoined the circuit and then we can say that the equivalent resistance, it's just a half hour. So this is five bombs. Uh huh. So this is the answer for party. And then in part, B was the current, the current. It's just we over our equivalent. This is a truck over five, 2.4 and yeah, So this is the answer for part B, and that's all

Here we have three day sisters, each of resistance six home and the combination has a resistance of nine on. So for first We have equivalent resistance of nine home so the two her sister's Sony. The 26 older sisters can be connected in parallel six home six on and They are equivalent will be connected to the 3rd. Six armed resistors resistors. And this will give equivalent of the six own battles, six own plus six on so pedal of two. Equivalent resistance to equal assistance is half of them, So it will be six on Upon 2-plus 6 Is equal to 3-plus 6 equal to nine on. So for nine home equivalent resistance, we connect two resistors in parallel and the third in series with the combination of two parallel resistors. Now for the second part we have to connect them so that the equivalent resistance is for on. So We will connect to six homes in cities and their combination Will be connected in parallel with the 3rd 6 only sister. So The 260m resistors will be equal to six on plus six on Equal to 12 home. And the equivalent residents will be paddle of 12 um and six home, so it will be 12 um parallel six home. This is equal to 12 into six upon 12 plus six Equal to four on. So. To find the forearm equivalent resistance, we connect two resistors in series and their combination is Connected in parallel with the 3rd resistant. And this complete solution. Thank you.

Hello. We have a problem. Number 37 37 and there is an electric current flow. Okay, so it is given that the distance is universally proportional to Squire of diameter of the wire. So if we just remove one to remove this, uh, constant of proportionality are will be equal to K by the square, where K is the constant of proportionality. Okay, it is given that if a wire is 0.1 inch in diameter and the extent 0.4, um, so resistance 0.4 um, Okay, by 0.1 inches whole square The value of cable p 0.4 and two, 0.1 square our expression will become are equal to little 0.4 value of caviar plugging in here. Remember 0.40 point 01 old Squire in 21 by D squared. We need to find the unified resistance. If is the the meeting is considered three inches. Let us plug in 0.1 whole square into one by 0.3 holds. Quite so. This is 0.4 and 0.1 by 0.3 well square. So 0.4 by nine Key point for developed by 90 point zero 44 ft. So resistance of the required wire 0.0 444 Thank you for not this should be answered.

31. Uh, here in this equation here, in this example, we have a relation between the resistance of the wire are and the square root of the diameter, the square of the diameter. And in the question, it stated that the relation between these two variables are, um, inversely proportion. So R is equal to okay over the square in order to calculate the K the constant we will use the givens. So we know that when the is equal to 0.1 square, the resistance is equal to a point for homes. So K is equal to zero point Oh, four uh, homes, uh, homes Inch square. So the resistance R is equal to 0.4 over the D square, which is Oh, point oh, three square. So this is equal to open. Oh, 44 owns


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