Two charges QA = +2 μC and QB = - 6μC are located on the x-axis at xA= - 1 cm andxB= +2 cm respectively. Where should a third charge, QC = + 3μC, be placed on the positive x-axis so that the potential at the origin is equal to zero?

Respuesta :

Answer:

Explanation:

Let the third charge Qc = + 3 μC be placed at distance x from origin so that potential at origin due to all charges be zero .

potential due to charge Q at distance d

= k Q / d , k = 9 x 10⁹

so potential due to all charges at origin

9 x 10⁹ x 10⁻⁶  [tex](\frac{2}{.01} -\frac{6}{.02} + \frac{3}{x} )[/tex] = 0

[tex]\frac{3}{x}[/tex] = [tex]-\frac{2}{.01}[/tex] [tex]+\frac{6}{.02}[/tex]

= - 200 + 300

= 100

x = .03 m

3 cm .

+ 3μC should be placed at + 3 cm from origin.

3μC should be placed at + 3 cm on the positive axis from the start

From the question,

the formula for the potential charge is k Q / d , k

where q is charge

d is distance

k is constant.

let the third charge be Qc = + 3 μC at distance x from origin so that potential at origin due to all charges be zero .

potential of charge Q at distance d

= k Q / d , k = 9 x 10⁹

potential of all charges at zero is

9 x 10⁹ x 10⁻⁶ = 0{-2/0.01 -6/0.02 + 3/x = 0

3/x= -2/0.01 + 6/0.01

= - 200 + 300

= 100

x = .03 m

3 cm .

What is Charge?

Electric charge is the property found in matter that make it to experience a force when it is place in an electromagnetic field. Electric charge can either be positive or negative. It is represented by q.

Therefore, + 3μC should be placed at + 3 cm from the start.

Learn more about charge from the link below.

https://brainly.com/question/18102056