Question

Four point charges, each of magnitude

8.27

Answer #1

Apply F = kqq/r^{2} for each charge pair...

For the charges directly to the side and below the negative charge, we get...

F = (8.98755 X 10^{9})(8.27 X
10^{-6})^{2}/(.111)^{2}

F = 49.9 N

Then for the charge diagonally across, we need the distance from the Pythagorean Theorem...

r^{2} = (.111)^{2} + (.111)^{2}

r = .1569777 m

The the force = (8.98755 X 10^{9})(8.27 X
10^{-6})^{2}/(.1569777)^{2}

F = 24.9 N

We need the x and y components of this, so multiply by cos(45)

F = 17.64 N

That means there is a net horizontal and vertical force of 17.64 + 49.9 = 67.5 N

The overall force, then, is by the Pythagorean Theorem

F^{2} = (67.5)^{2} + (67.5)^{2}

**F = 95.5 N**

Four point charges, each of magnitude 16.84

Four point charges are located at the corners of a square. Each
charge has magnitude 1.70 nC and the square has sides of length
2.40 cm. Find the magnitude of the electric field (in N/C) at the
center of the square if all of the charges are positive and three
of the charges are positive and one is negative.
HINT
(a)
all the charges are positive
N/C
(b)
three of the charges are positive and one is negative

Four point charges are located at the corners of a square. Each
charge has magnitude 3.50 nC and the square has sides of length
3.20 cm. Find the magnitude of the electric field (in N/C) at the
center of the square if all of the charges are positive and three
of the charges are positive and one is negative.
(a) all the charges are positive N/C
(b) three of the charges are positive and one is negative
N/C

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Four point charges have the same magnitude of 2.0 ×
10-12 C and are fixed to the corners of a square that is
2.8 cm on a side. Three of the charges are positive and one is
negative. Determine the magnitude of the net electric field that
exists at the center of the square.

There are four charges, each with a magnitude of 1.91 μC. Two
are positive and two are negative. The charges are fixed to the
corners of a 0.266-m square, one to a corner, in such a way that
the net force on any charge is directed toward the center of the
square. Calculate the magnitude of the net electrostatic force
experienced by any charge.

There are four charges, each with a magnitude of 2.18 µC. Two
are positive and two are negative. The charges are fixed to the
corners of a 0.21-m square, one to a corner, in such a way that the
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square. Find the magnitude of the net electrostatic force
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Four point charges are located at the corners of a square, 2.0 m
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ii) Potential energy of the above configuration.

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