anonymous
  • anonymous
Please help: Calculate the electric field at the center of a square 52.5cm on a side if one corner is occupied by a +45uC charge and the other three occupied by -27uC charges.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
baldymcgee6
  • baldymcgee6
sounds like physics bud
baldymcgee6
  • baldymcgee6
but i will help you anyway. you just need to find the NET electric field.
baldymcgee6
  • baldymcgee6
if you want me to help. . .

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baldymcgee6
  • baldymcgee6
Do you know the formula for electric field?
anonymous
  • anonymous
is it E=F(R)/Q ??
baldymcgee6
  • baldymcgee6
\[E= kq/r^2\]
anonymous
  • anonymous
okay. then?
baldymcgee6
  • baldymcgee6
|dw:1340433733455:dw|
baldymcgee6
  • baldymcgee6
does the question say the side length of the square is 52.5cm?
anonymous
  • anonymous
The question say: "at the center of a square 52.5cm on a side if one corner is occupied by a +45uC charge..."
baldymcgee6
  • baldymcgee6
okay, i'm going to assume the "side length" is 52.5cm
anonymous
  • anonymous
okay. i think it is the length.
baldymcgee6
  • baldymcgee6
|dw:1340433904871:dw|
anonymous
  • anonymous
okay.
anonymous
  • anonymous
hmm i think thats it.
baldymcgee6
  • baldymcgee6
you need the length from the corner to the charges. do you know how to find that?
anonymous
  • anonymous
sorry i dont know.
baldymcgee6
  • baldymcgee6
okay, if we have the side length of 52.5cm, to find the diagonal length we multiply this by \[\sqrt{2}\]
baldymcgee6
  • baldymcgee6
can you do that?
anonymous
  • anonymous
52.5 * sqrt of 2 ?
baldymcgee6
  • baldymcgee6
yes = ?
anonymous
  • anonymous
74.24
anonymous
  • anonymous
but why sqrt of 2 ?
baldymcgee6
  • baldymcgee6
because a square is in the form of x^2+y^2=2.. you can look into it later, and just trust me.
anonymous
  • anonymous
okay sure.
baldymcgee6
  • baldymcgee6
haha, k... so that 74.25cm is the diagonal length, we divide this by 2 to give us the corner to center length
anonymous
  • anonymous
its 37.12
baldymcgee6
  • baldymcgee6
okay so now we can use our formula.
anonymous
  • anonymous
okay.
baldymcgee6
  • baldymcgee6
E=(kq)/r^2
anonymous
  • anonymous
our k is 9x10^9 ?
baldymcgee6
  • baldymcgee6
close enough, in physics we typically use 8.99 x 10^9
anonymous
  • anonymous
oh but can we use 9x10^9 ?
baldymcgee6
  • baldymcgee6
we have to calculate each individual electric field. sure, it is close enough.
anonymous
  • anonymous
okay. then our Q is what? our R is 37.12 ?
baldymcgee6
  • baldymcgee6
our q is the charge, there are 4 different charges. +45uC and -27uC, -27uC, -27uC
anonymous
  • anonymous
so we will use the four different charges? one by one?
baldymcgee6
  • baldymcgee6
we will do two separate computations as three of them will be the same (-27uC)
baldymcgee6
  • baldymcgee6
so lets get started
anonymous
  • anonymous
okay sure lets get started
baldymcgee6
  • baldymcgee6
fill this in with what we know: E=(kq)/r^2
baldymcgee6
  • baldymcgee6
or just do it on you're calculator and tell me the two answers
anonymous
  • anonymous
E=(9x10^9) (+45uC)/37.12 ?
baldymcgee6
  • baldymcgee6
close... E=(9x10^9*45E-6)/(37.12)^2 dont forget to square the denominator
baldymcgee6
  • baldymcgee6
and also remember the units for the charge is in micro coulombs
baldymcgee6
  • baldymcgee6
therefore 45E-6
anonymous
  • anonymous
why is the exponent is -6 ?
baldymcgee6
  • baldymcgee6
i just told you, because the units are in uC
baldymcgee6
  • baldymcgee6
that little "u" mean E-6
anonymous
  • anonymous
oh yeah
baldymcgee6
  • baldymcgee6
okay, so what your answer?
anonymous
  • anonymous
then the C means coulombs?
baldymcgee6
  • baldymcgee6
correct
anonymous
  • anonymous
0.00079
baldymcgee6
  • baldymcgee6
you used this? E=(9x10^9*45E-6)/(37.12)^2
anonymous
  • anonymous
yup i did
baldymcgee6
  • baldymcgee6
well i'm afraid that is wrong, you must have typed it in wrong
baldymcgee6
  • baldymcgee6
http://www.wolframalpha.com/input/?i=%28%289x10%5E9%29%2845E-6%29%29%2F%2837.12%29%5E2
anonymous
  • anonymous
let me check
anonymous
  • anonymous
E means exponent right?
baldymcgee6
  • baldymcgee6
k dude, you take way to long. I need to sleep. You should get a value of 293.55 N/C for the +45uC and you should get -176.13 N/C for the -26uC
anonymous
  • anonymous
its -27uC
baldymcgee6
  • baldymcgee6
right, -27uC still the same answer.
baldymcgee6
  • baldymcgee6
i think you should be able to do it from here.. i've been helping you for over an hour.
anonymous
  • anonymous
okay thank you so much.

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