Question

In: Physics

a) A charge of 1C is affixed to the x axis at 20cm and a charge...

a) A charge of 1C is affixed to the x axis at 20cm and a charge of 4C is affixed at -10cm, where must a charge of -10C be placed in order to have zero electrostatic force on it?

b) If instead, a charge of -3C is placed somewhere on the x-axis, where must it be placed so that the origin (0,0) will experience zero electric field?

Please include detailed NEAT explanation.

Expert Solution

a)

Let distance between charge 1 C and -10C be x

and distance between charge 4 C and -10C be (30-x)cm

We know

-----------

==============

=================

In order to have Zero electrostatic force on charge-10C ,Forces F₁ and F₂ should be equal

Solve quadratic equation using a calculator

========

ANSWER:Charge -10C must be placed at +10cm on the x axis

===================================

b)If instead, a charge of -3C is placed somewhere on the x-axis, where must it be placed so that the origin (0,0) will experience zero electric field?

First find electric field from charges 1C and 4C

We know

=================

===============

First find net electric field at origin without -3C

in the same direction as E₂

so -3C must be placed in -x axis to counter the electric field and the value must be equal to E

ANSWER:

ANSWER:Charge -3C must be placed at -8.94cm on the -x axis

==============

genius_generous answered 7 months ago

Positive charge A of charge 0.1 mC is placed at the origin of axis x, charge...

Positive charge A of charge 0.1 mC is placed at the origin of axis x, charge B, also positive, but of magnitude 4 times greater than A is placed at x=24.3 cm. These charges if released will run away from each other, but they are kept in place by the third charge positioned somewhere on the axis x. Find the value of this third charge (in mC).

A particle of charge -q1 is at the origin of an x axis. (a) At what...

A particle of charge -q1 is at the origin of an x axis. (a) At what location on the axis should a particle of charge -36q1 be placed so that the net electric field is zero at x = 4.8 mm on the axis? (b) If, instead, a particle of charge +36q1 is placed at that location, what is the direction (relative to the positive direction of the x axis) of the net electric field at x = 4.8 mm?

A line of charge is placed on the x-axis between x = -5 m and x...

A line of charge is placed on the x-axis between x = -5 m and x = 5 m . The linear charge density is -10 microcoulomb per cm . Consider a field point on the y-axis, located at y - 2.0 m. a. (2 points) How much charge dq is contained in a segment of the wire of length dx? b. (5 points) Charge element dq is located at the point (x, 0). What is the distance r from...

A particle (charge = -15.0 µC) is located on the x- axis at the point x...

A particle (charge = -15.0 µC) is located on the x- axis at the point x = -25.0 cm, and a second particle (charge = +45.0 µC) is placed on the x- axis at x = +30.0 cm. What is the magnitude of the total electrostatic force on a third particle (charge = -3.50 µC) placed at the origin (x = 0)?

A +2.00 nC point charge and -3.00 nC point charge are placed along the x-axis at x...

A +2.00 nC point charge and -3.00 nC point charge are placed along the x-axis at x = 1.0 m and x = 2.0 m, respectively. Where must a third charge, q, be placed along the x-axis so that it does not experience any net electric force due to the other two charges

A -12.7nC point charge and a +21.3nC point charge are 13.8cm apart on the x-axis. What...

A -12.7nC point charge and a +21.3nC point charge are 13.8cm apart on the x-axis. What is the electric potential at the point on the x-axis where the electric field is zero? Incompatible units. No conversion found between "m/s" and the required units. Tries 0/10 Previous Tries What is the magnitude of the electric field at the two points on the x-axis where the electric potential is zero? (Input your answers in order of increasing distance from the negative point...

A point charge q1 = 3.75 nC is located on the x-axis at x = 1.80...

A point charge q1 = 3.75 nC is located on the x-axis at x = 1.80 mm , and a second point charge q2 = -6.35 nC is on the y-axis at y = 1.05 m a) What is the total electric flux due to these two point charges through a spherical surface centred at the origin and with radius r1 = 0.390 m b)What is the total electric flux due to these two point charges through a spherical surface...

A point charge q 1 = 3.50 nC is located on the x-axis at x =...

A point charge q 1 = 3.50 nC is located on the x-axis at x = 2.10 m , and a second point charge q 2 = -6.15 nC is on the y-axis at y = 1.25 m . A) What is the total electric flux due to these two point charges through a spherical surface centered at the origin and with radius r1 = 0.425 m ? B)What is the total electric flux due to these two point charges...

A 2.00 nC point charge is fixed on the x-axis at x = 5.00 cm. A...

A 2.00 nC point charge is fixed on the x-axis at x = 5.00 cm. A -4.00 nC point charge is fixed on the x-axis at x = -3.00 cm. a) Find the magnitude and direction of the electric field at a point on the y-axis where y = +2.00 cm. b) If a -3.00 nC point charge is placed on the y-axis at y =+2.00 cm, what is the magnitude and direction of the electric force on the charge?...

A point charge q1 = 4.25 nC is located on the x-axis at x = 2.20...

A point charge q1 = 4.25 nC is located on the x-axis at x = 2.20 m , and a second point charge q2 = -6.65 nC is on the y-axis at y = 1.30 m What is the total electric flux due to these two point charges through a spherical surface centered at the origin and with radius r1 = 0.460 m ? What is the total electric flux due to these two point charges through a spherical surface...