Question

Four point charges, each of magnitude 16.84

Answer #1

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Four point charges, each of magnitude 13.18?C, are placed at the corners of a square 63.6 cm on a side.

If three of the charges are positive and one is negative, find
the magnitude of the force experienced by the negative charge. The
value of Coulomb's constant is 8.98755x10^{9} N
m^{2}/C^{2}.

let F1 be kq^2/a^2. (force exerted between charges which are on
the same side)

F2 be kq^2/sqrt(2)^2*a^2=kq^2/2a^2. (not same side)

all of them are attractive forces.

so net force is

F1*sin45+F1*cos45+F2=F=7.4(N)

Four point charges, each of magnitude
8.27

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

There are four charges, each with a magnitude of 2.20

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
net force on any charge is directed toward the center of the
square. Find the magnitude of the net electrostatic force
experienced by any charge.

Eight point charges, each of magnitude q, are located on the
corners of a cube of edge s, as shown in Fig. 3 (i) Determine the
x, y, and z components of the resultant force exerted by the other
charges on the charge located at point A. (ii) What are the
magnitude and direction of this resultant force? (iii) Show that
the magnitude of the electric field at the center of any face of
the cube has a value of...

Four point charges are located at the corners of a square, 2.0 m
by 2.0 m. On each of two diagonally opposite corners are 2.0 μC
charges. On each of the other two corners are -2.0 μC charges. What
is the direction and magnitude of the force on each charge?

Four point charges are given as: +2q, +2q, −2q and –2q. Place
these charges on an x-y coordinate system, with two of them are on
the x and y axis, so that the electric field at point (3 cm, 3cm)
would be zero. Find
i) Electric field at the origin if the above point charges
magnitude is 5.0 μC.
ii) Potential energy of the above configuration.

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