Please is possible show steps taken Thank you! Two point charges, Q1 = 3.7 muC a

Question

Please is possible show steps taken Thank you!

Two point charges, Q1 = 3.7 muC and Q2 = -2.0 muC . are placed on the x axis. Suppose that Q2 is placed at the origin, and Q1 is placed at the coordinate x1 = - 4.0 cm At what point(s) along the x axis is the electric field zero? Determine the x-coordinate(s) of the point(s). Express your answer using two significant figures. If there is more than one answer, enter your answers in ascending order separated by commas. At what point(s) along the x axis is the potential zero? Determine the x-coordinate(s) of the point(s). Express your answer using two significant figures. If there is more than one answer, enter your answers in ascending order separated by commas.

Explanation / Answer

A)

here, |Q1| > |Q2|

so the point where the net electric filed is zero is close to Q2 and ot is right to Q2.

let x is the distnce from Q2 where Enet = 0

E1 = E2

k*Q1/(4+x)^2 = k*Q2/x^2


3.7/(4+x)^2 = 2/x^2

x/(4+x) = sqrt(2/3.7)

x = (4+x)*0.735

x = 2.94 + 0.735*x

x = 2.94/(1-0.735)

= 11.098 cm

so at x = 11.098 cm Enet = 0


B)

here, |Q1| > |Q2|

so the point where the net potentail is zero is close to Q2 and it is left to Q2.

let x is the distnce from Q2 where Vnet = 0

V1 = V2

k*Q1/(4-x) = k*Q2/x^2


3.7/(4-x) = 2/x

x/(4-x) = 2/3.7

x = (4-x)*0.54

x = 2.162 - 0.54*x

x = 2.162/(1+0.54)

= 1.403 cm

so at x = 1.403 cm Vnet = 0

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