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### Author Topic: electrics question  (Read 2072 times)

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#### hazzer123

• Supreme Robot
• Posts: 460
##### electrics question
« on: April 21, 2007, 05:41:33 AM »
Heres a question i had in an exam which i didnt have a clue how to answer...

The attached picture is the situation.

The first few questions are -

1.What is the potential at X? Explain your reasoning

2.What is the potential difference between A and X?

3.What is the potential gradient along the cable from A to X?

Could anybody answer these with explanations?

Thankyou
Imperial College Robotics Society
www.icrobotics.co.uk

• Robot Overlord
• Posts: 293
##### Re: electrics question
« Reply #1 on: April 21, 2007, 09:54:37 AM »
This is a forum for robotics. And this circuit has nothing to do with it. I tried to help this time but it will be last. Next time I will try to solve only something directly related with robotics.

Does this problem mention anything else the resistance of the AB cable or tell the value of some current?

In my "solution" you must consider the resistance of the cable AB and make use of the formula R=p*L/S(otherwise the position p would be meanless). Then you can get the the resistance for the segments AX and XB are proportional and are a function of d. In other words:
rAX+rXB=(p/S)*50 for the whole cable
rAX=(p/S)*d for the segment AX (p is the resistivity and S the area of the cable)
we dont need the formula for segment XB because it is not linear independent from the first two.
By fusing both formulas we will get:
rAX=rXB*d/49 [1]

By using Kirchoff's laws you will get that : 1) iAX = iXG + iXB[2] (iAX is the current in the segment AX, iXG the current in the segment X ground and so on)
2) 160 = iAX*rAX+iXB*rXB[3] and 200 = iAX*rAX+iXG*R[4]

[1][2][3][4] are all the linear independent equations I can think of and they are only 4, on the other hand we have iAX, rAX, rXB, iXB, iXG, R, and d which are 7 variables. This means that this system has infinity number of solutions, you just cant solve it. Unless, if are suppose to leave some values as letters, but I don't believe because if they wanted so they would not have supplied the values for the potentials and so on.

I believe if I were a worker at this company I would know the resistance of the cable AB and I would have a multimeter so I would measure the current in AX and in XB. that would kill 3 variables and I would have and system with 4 equations and 4 variables.

A.I.(yes those are my initials)

#### hazzer123

• Supreme Robot
• Posts: 460
##### Re: electrics question
« Reply #2 on: April 21, 2007, 11:33:18 AM »
Hi

I realise that this topic isn't directly linked with robotics, but electricity fundamentals play a huge part in all robots and i thought this question might demonstrate some things that would be handy to know when building a robot.

Harry
Imperial College Robotics Society
www.icrobotics.co.uk

#### ed1380

• Supreme Robot
• Posts: 1,478
##### Re: electrics question
« Reply #3 on: April 21, 2007, 11:42:02 AM »