Continuing on from problem 4. we\'ll do some calculations. Calculate the positio

Question

Continuing on from problem 4. we'll do some calculations. Calculate the positions of all locations (a finite distance from the charges) on the x-axis where the net electric field is zero. Calculate the positions of all locations (a finite distance from the charges) on the x-axis where the net electric potential is zero. At a location where the net electric field is zero, what (if anything) does that imply about the net electric potential at that location? The potential is also zero The slope of the potential vs. position graph is zero Neither of these At a location where the net electric potential is zero, what (if anything) does that imply about the net electric field at that location? The electric field is also zero The slope of the electric field vs. position graph is zero Neither of these

Explanation / Answer

Two charges are placed on the x-axis.

The charge at x = -2 m has a charge of +27 nC,and the charge at x = 0 m has a charge 0f -3 nC.

(a) Between the charge

V1 + V2 = 0

(9*10^9*27*10^-9)/x-(-2) + 9*10^9*(-3*10^-9)/0-x = 0

243/x+2 + 27/x = 0

243*x = -27*x - 54

x = - 0.2 m

  
(b) the position of all location

x = - 0.2 m

(c) The potential is zero.

the formula of electric field

E = dV/dr

Thus if we are considering the field to be zero then above relation becomes

dv/dr=0

Therefore a derivative value when equal to zero means that there is no change the dependent value with respect to other independent value.

Therefore according to above relation we get V as consant value.

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