Question

Where would you put a charged particle inline with two charges
of 10 mC at the origin and 5 mC at 1 meter?

Answer #1

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If we place two charges, q1 = 15 mC at (x, y) = (4 cm, 0 cm) and
q2 = 5 mC at (0 cm, 2 cm),
where must we put a charge q3 = −9 mC in order for any charge
placed at the origin to be
still.

There are two charged particles of equal sizes. Particle A is 3
cm from the origin and is -3 micro Coulombs.
Particle B is 9 cm from the origin and 6 micro
Coulombs.
a) What is the magnitude of the attractive force between
them?
b) What would the attractive force be if Particle B was moved to
the 6 cm from the origin?
c) How far apart would the two charges have to be if the
attractive force between them...

There are two charged particles of equal sizes. Particle A is 3
cm from the origin and is -3 micro Coulombs.
Particle B is 9 cm from the origin and 6 micro
Coulombs.
a) What is the magnitude of the attractive force between
them?
b) What would the attractive force be if Particle B was moved to
the 6 cm from the origin?
c) How far apart would the two charges have to be if the
attractive force between them...

There are two charged particles of equal sizes. Particle A is 3
cm from the origin and is -3 micro Coulombs.
Particle B is 9 cm from the origin and 6 micro
Coulombs.
a) What is the magnitude of the attractive force between
them?
b) What would the attractive force be if Particle B was moved to
the 6 cm from the origin?
c) How far apart would the two charges have to be if the
attractive force between them...

Two charges, 15 mC and 12 mC, are fixed in place 1.0 m apart,
with the second one to the right. Find the magnitude and direction
of the net force on a -1.0 nC charge, placed at the following
locations:
(a) halfway between the two:
(b) half a meter to the left of the 15 mC charge:

A charged particle of charge 4.2 mC and mass 4.7 g is subjected
to a magnetic field of 4.6 T, which acts at a right angle to its
motion. Due to the magnetic field, the particle moves in a circle.
What is the angular speed (ω ) of the particle (in rad/s)? Round
off to TWO decimal places. [Hint: look for the relationship between
v and ω]

MATLAB CODE:
The electric potential around a charged particle is given by ,
where ε=8.854x10-12?=14????C/Nm2 , q is the charge and r is the
distance from the particle. The electric potential of 2 particles
at a point P is given by , where q1 and q2 are the particles
charges and r1 and r2?=14??(?1?1+?2?2)are distances from the
particles to P. Two particles with charges q1=2x10-10 C and
q2=3x10-10 C are located in the x-y plane at (0.25,0) and (-.25,0).
Calculate...

Two charges, q(1) = 5 mC and q(2)= 7mC are separated by 25cm.
Where should a third charge be placed on the line between them such
that the resultant force on it will become zero? Does it matter if
the third charge is positive or negative?

There are two charged particles of equal sizes. Particle A is 3
cm from the right of the origin and is -3 micro
Coulombs. Particle B is 6 cm from the right of the origin
and is 6 micro Coulombs. Another Particle,
Particle C is placed 2 cm to the left of particle A and is 2 micro
Coulombs. What is the net force on Particle C?

Two particles A and B having charges 8×10−6C and
−2×10−6 respectively are held fixed with a separation of 20cm.
Where should a third charged particle C be placed so that it does
not experiences a net electric force

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