Question

Three identical point positive charges q = 10-8 C are placed at three vertices of a square of side a = 10cm. Determine the vector of electric field and the electric potential at the rest empty vertice.

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?

Three equal point charges, each with charge
1.35?C
, are placed at the vertices of an equilateral
triangle whose sides are of length 0.350m
. What is the electric potential energy
U of the system? (Take as zero
the potential energy of the three charges when they are infinitely
far apart.)

Three equal point charges, each with charge 1.05 ?C , are placed
at the vertices of an equilateral triangle whose sides are of
length 0.650 m . What is the electric potential energy U of the
system? (Take as zero the potential energy of the three charges
when they are infinitely far apart.)

Two identical point charges (q = +6.70 x 10-6 C) are fixed at
opposite corners of a square whose sides have a length of 0.550 m.
A test charge (q0 = -7.80 x 10-8 C), with a mass of 3.20 x 10-8 kg,
is released from rest at one of the corners of the square.
Determine the speed of the test charge when it reaches the center
of the square.

Two identical point charges (q = +2.40 x
10-6 C) are fixed at opposite corners of a square whose
sides have a length of 0.350 m. A test charge
(q0 = -5.40 x 10-8 C), with a mass
of 8.80 x 10-8 kg, is released from rest at one of the
corners of the square. Determine the speed of the test charge when
it reaches the center of the square.

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.

Four point charges have the same magnitude of 3.5 × 10-12 C and
are fixed to the corners of a square that is 8.7 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.

4. Six identical positive charges,
q=10-13 C are placed, one at each vertex of a regular
hexagon in the x-y plane centered at the origin. Let the charges be
numbered with the index j from 1 to 6. The position of the j-th
charge is xj=a cos(j π/3), yj=a sin(j π/3)
where a=3 mm and j=1,2,…,6. Calculate the magnitude of the electric
field created by the system of five charges at the location of the
sixth charge (j=6).

Identical positive point charges q = 9.18 μC are fixed,
one at the origin, and the other at (8.52 cm,0). Half-way between
the charges, the electric field is zero. Now, suppose charge begins
leaking off the charge at the origin at a constant rate:
= -7.85 pC/s.
Find , the rate at which the electric field at the
midpoint is changing, in N/C/s. The sign of your answer will give
the direction in which the electric field is changing.

Three point charges q1=1 μC ,
q2=2 μC and q3=-3
μC are located at three corners of a square of side a=2
cm . Charge
q3 is
located diagonally opposed to the empty corner of the
square.
Calculate the electric potential created by the three charges
at the empty corner of the square.
Calculate the work done by the electric field of the three
charges when a fourth charge q4=-4 μC
moves from the center of the square to the...

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