Question

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 2.18 1 4π0 q s 2 . (iv) What is the direction of the electric field at the center of the top face of the cube?

Answer #1

Three equal positive point charges of magnitude Q = 9.00μ C are
located at three corners of a square of edge length d = 8.1 cm. A
negative charge -27.00μ C is placed on the fourth corner. At the
position of the negative charge, what is the magnitude of the
electric field due to the three positive charges?
What is the magnitude of the attractive force on the negative
charge?

(8 point charges on a cube) A cube of edge a carries a
point charge q at each corner. (a) Show that the magnitude
of the resultant force on any one of the charges is F =
3.29kq2/a2. (b) What is the direction of
F? relative to the cube edges?

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

Three charges, each of magnitude 6 nC, are at separate corners
of a square of edge length 4 cm. The two charges at opposite
corners are positive, and the other charge is negative. Find the x
and y components of the force exerted by these charges on a fourth
charge q = +3 nC at the remaining (upper right) corner. (Assume the
+x axis is directed to the right and the +y axis is directed
upward.)
1.) ____ N î...

A cube has point charges at all corners. No two charges have the
same value; all are unique. Is it possible for the electric
potential
(not the electric field!) at the center of the cube to be zero?
(Assume the point charge definition of potential in which V = 0 at
infinity.)
If the potential cannot be zero, explain why. If the potential can
be zero, what a special relationship must the charges have?

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?

4.
Four equal charges of +5.0×10-7 C are placed on the
corners of one face of a cube of edge length 7.0 cm. A charge of
-5.0×10-7 C is placed at the center of the cube. What is
the magnitude of the force on the charge at the center of the
cube?

Four point charges are at the corners of a square of side
a as shown in the figure below. Determine the magnitude
and direction of the resultant electric force on q, with
ke, q, and a in symbolic
form. (Let B = 4.0q and C =
2.0q. Assume that the +x-axis is to the right and
the +y-axis is up along the page.)

Four point charges are at the corners of a square of side a as
shown in the figure below. Determine the magnitude and direction of
the resultant electric force on q, with ke, q, and a in symbolic
form. (Let B = 4.0q and C = 5.5q. Assume that the +x-axis is to the
right and the +y-axis is up along the page.)

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