what is thetotal ceulomb force Acting on charge(pc) charge A? Location (0,0) (-24) (-4,2) 63,-5) |(-3,-1, +2) A -20 +20 -10 -20

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We have a 5 charge field the grid is 1 meter spacing and the charges are in Micro Coulombs. Ive atached two pictures of my work in solving for the force enacted on charge A.

I now need to solve the value of DE ?

And if added a 6th charge of (+10) at what location would we add it to make Fa = 0 ?

  Location Charge(microcoulombs)
A (0,0) -20
B (-2,+4) -10
C (-4,+2) +20
D (+1,+3,-5) -10
E (-3,-1,+2) -20
Fa Causel by ab r Pec
(-0.04i+0.161 + 0.08}-0.02)
t o.08 Ĵ )N
Fac=l0,16Î -0,08}
Fad= (0.087î +0.26ĵ-o,434 R DN
Fae=(-0,2061-0.069; +o.137 Ŕ)N
Fab= (-0.04Î
Fab+ Fac=(0. i2
%3D
+Fac t Fad + Fae
二
Fa= (ou12î to.087î+0.26-o,434 ĥ-0.206î..
-0.069+0.137R) N
=(0.001î +o91-0.297R)N
(0.001, 0.191,-0, 297) + Rectangular Coordinates
r=V(0.001)²+(0.191)?+(-0.297) =0.353
금)
O= Arccos ( Z
O= Arccos -0.297 =147.3°
0,353
$= Arctan /
$ Arctan/O.i91)=89.7°
O.001
(a353, 147.3°, 89.7°)+ Spherical Coordinates
Transcribed Image Text:Fa Causel by ab r Pec (-0.04i+0.161 + 0.08}-0.02) t o.08 Ĵ )N Fac=l0,16Î -0,08} Fad= (0.087î +0.26ĵ-o,434 R DN Fae=(-0,2061-0.069; +o.137 Ŕ)N Fab= (-0.04Î Fab+ Fac=(0. i2 %3D +Fac t Fad + Fae 二 Fa= (ou12î to.087î+0.26-o,434 ĥ-0.206î.. -0.069+0.137R) N =(0.001î +o91-0.297R)N (0.001, 0.191,-0, 297) + Rectangular Coordinates r=V(0.001)²+(0.191)?+(-0.297) =0.353 금) O= Arccos ( Z O= Arccos -0.297 =147.3° 0,353 $= Arctan / $ Arctan/O.i91)=89.7° O.001 (a353, 147.3°, 89.7°)+ Spherical Coordinates
what is the total ceulomb force Actiny on charge A?
charyelpc)
Location
-20
(-2,4)
(-4,2).
(3,-5)
(-3,-1,+2)
+20
-10
-20
B
Fack
Fadx
Z.
(+)
Fab lo.04
(-)
Fac l0.16
(-)
Fad 0.087
(+)
Fae 0,206 0.069 0,137
(+)
O.08
|(+)
0.434
(-)
l0.26
Fas Fab + Fac o Fad + Fae
NO
Transcribed Image Text:what is the total ceulomb force Actiny on charge A? charyelpc) Location -20 (-2,4) (-4,2). (3,-5) (-3,-1,+2) +20 -10 -20 B Fack Fadx Z. (+) Fab lo.04 (-) Fac l0.16 (-) Fad 0.087 (+) Fae 0,206 0.069 0,137 (+) O.08 |(+) 0.434 (-) l0.26 Fas Fab + Fac o Fad + Fae NO
Expert Solution
Step 1

Given: 

  Location Charge(microcoulombs)
A (0,0) -20
B (-2,+4) -10
C (-4,+2) +20
D (+1,+3,-5) -10
E (-3,-1,+2) -20

We have to find Coulomb force acting on A and position of 6th charge of 10 microcoulombs so that force on A is zero. 

1 square grid is 1 m apart. 

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