Question

Two point charges of +2 μC and -8 μC are located on
the *x*-axis at *x* = -1 cm and *x* = +2 cm
respectively. Where should a third charge of +46 μC be placed on
the +*x*-axis so that the potential at the origin is equal to
zero? (in units of cm)

Answer #1

Electric potential is a scalar quantity which is given by:

V = k*Q/R

Now given that net electric potential due to these three charges at origin is zero, So

V_net = V1 + V2 + V3 = 0

V_net = k*q1/R1 + k*q2/R2 + k*q3/R3 = 0

k*q1/R1 + k*q2/R2 = -k*q3/R3

q1/R1 + q2/R2 = -q3/R3

R3 = -q3/(q1/R1 + q2/R2)

Given that q1 = 2*10^-6 C at x = -1 cm = -0.01 m

R1 = distance between q1 and origin = 0.01 m

q2 = -8*10^-6 C at x = 2 cm = 0.02 m

R2 = distance between q2 and origin = 0.02 m

And q3 = 46*10^-6 C at suppose x = 'd',

R3 = d

So Using given values:

d = -46*10^-6/(2*10^-6/0.01 - 8*10^-6/0.02)

d = -46/(2/0.01 - 8/0.02) = 0.23 m

x = 0.23 m = 23 cm

**So third charge should be at x = 23 cm**

**Let me know if you've any query.**

Two charges Q1 = -3 μC and Q2 = +3 μC are
located on the y-axis at y1 = -5 cm and y2 =
+5 cm respectively. A third charge Q3 is added on the
y-axis at y3 = -10 cm so that the electric field at the
origin is equal to zero. What is the charge Q3?

A) Two point charges lie on the x axis. A charge of 9.8 μC is at
the origin, and a charge of -5.3 μC is at x = 10 cm . At what
position x would a third charge q3 be in
equilibrium?
B)Two point charges lie on the x axis. A charge of 6.5
μC is at the origin, and a charge of -9.0 μC is
at x=10.0cm. What is the net electric field at
x=−4.0cm? What is the...

A) Two charges, -3.0 μC and -4.0 μC, are located at (-0.50 m, 0)
and (0.75 m, 0), respectively. (a) Is the location of a point on
the x-axis between the two charges where the electric field is zero
(1) nearer the -3.0 - μC charge, (2) at the origin, or (3) nearer
the -4.0 - μC charge? Why? (b) Find the location of the point where
the electric field is zero.
B)Three charges, +2.5 μC, -4.8 μC, and -6.3...

Two point charges -7 μC and -2 μC are located at the origin and
a point (0.18 m, 0) respectively. Find the electric field due to
these charges at a point (0.39 m, 0).
a.) E=______ V/m
b.)What is the electric potential at this point?
V=_____V
c.) Find the force acting on a point charge of 5 μC located at this
point.
F=______N

Two point charges lie on the x axis. A charge of 9.5 μC is at
the origin, and a charge of -4.8 μC is at x = 10 cm.At what
position x would a third charge q3 be in equilibrium? Express your
answer using two significant figures.Give answer in cm

Two point charges lie on the x axis. A charge of 9.0 μC is at
the origin, and a charge of -5.5 μC is at x = 10 cm . A) At what
position x would a third charge q3 be in equilibrium? B) Does your
answer to part A depend on whether q3 is positive or negative?
Explain.

Two point charges, Q1 = 3.6 μC and Q2 = -1.4 μC , are placed on
the xx axis. Suppose that Q2 is placed at the origin, and Q1 is
placed at the coordinate x1 = − 6.0 cm.
1. At what point(s) along the x axis is the electric field zero?
Determine the x-coordinate(s) of the point(s).
2. At what point(s) along the x axis is the potential zero?
Determine the x-coordinate(s) of the point(s).

Two point charges, Q1 = 3.6 μC and Q2 = -1.8 μC , are placed on
the x axis. Suppose that Q2 is placed at the origin, and Q1 is
placed at the coordinate x1 = − 5.0 cm (Figure 1).
At what point(s) along the x axis is the electric field zero?
Determine the x-coordinate(s) of the point(s).
At what point(s) along the x axis is the potential zero?
Determine the x-coordinate(s) of the point(s).

A
point charge q1 = 5 μC is located on the x-axis at x = 1.5 m.
Another point charge q2 = 8 μC is also located on the x-axis at the
origin. Determine the electric potential on the y-axis at y = 0.5
m.

Three point charges +4.0 μC, -5.0 μC,
and -9.0 μC are placed on the x-axis at the points
x = 0 cm, x = 40 cm, and x = 120 cm,
respectively. What is the electric potential at x = 80
cm?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 11 minutes ago

asked 15 minutes ago

asked 17 minutes ago

asked 18 minutes ago

asked 18 minutes ago

asked 25 minutes ago

asked 37 minutes ago

asked 51 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago