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-2.0 nC2.0 nC1.0 cm+1.0 cmy-2.0 nC2.0 nCX

Question

What is the force F on the 1.3 nC charge in the middle of (Figure 1) due to the four other charges? Give your answer in component form.

-2.0 nC
2.0 nC
1.0 cm
+
1.0 cm
y
-2.0 nC
2.0 nC
X
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-2.0 nC 2.0 nC 1.0 cm + 1.0 cm y -2.0 nC 2.0 nC X

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check_circleAnswer
Step 1

The columbic force on charge Q due to the charge q can be written as

1 Qq
F =
4πε, r
1
kOg
Απεο
2
=9x10 N-m2/C2
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1 Qq F = 4πε, r 1 kOg Απεο 2 =9x10 N-m2/C2

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Step 2

Like charges repels each other and unlike charge attracts each other. The resultant force direction is shown in the figure.

-2.0nC C
B 2.0nC
1.0 cm
-2.0nC D
2.0nC
A
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-2.0nC C B 2.0nC 1.0 cm -2.0nC D 2.0nC A

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Step 3

All force are equal in magnitude...

(1)
Fo — Foc 3 Fos — Foр.
Q.A
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(1) Fo — Foc 3 Fos — Foр. Q.A

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Science

Physics

Electric Charges and Fields

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