18.7 Conductors and Electric Fields in Static Equilibrium

Suppose that the electric field experienced due to a positively charged small spherical conductor at a certain distance is E. What will be the percentage change in electric field experienced at thrice the distance if the charge on the conductor is doubled?

(a) Find the total electric field at $x = 1.00 cm$ in the figure(b) given that $q = 5.00 nC$. (b)Find the total electric field at $x = 11.00 cm$ in the figure(b) given that $q = 5.00 nC$. (c) If the charges are allowed to move and eventually be brought to rest by friction, what will the final charge configuration be? (That is, will there be a single charge, double charge, etc., and what will its value(s) be?)

(a) Find the total Coulomb force on a charge of 2.00 nC located at $x = 4.00 cm$ in the figure (b), given that $q = 1.00 \mu\text{C}$. (b) Find the x-position at which the electric field is zero in the figure (b).

(a) Using the symmetry of the arrangement, determine the direction of the electric field at the center of the square in the figure, given that $q_{a} = q_{b} = - 1 . \text{00} \mu\text{C}$ and $q_{c} = q_{d} =+ 1 . \text{00} \mu\text{C}$. (b) Calculate the magnitude of the electric field at the location of $q$, given that the square is 5.00 cm on a side.

Find the total Coulomb force on the charge $q$ in the figure, given that $q = 1 . \text{00} \mu\text{C}$, $q_{a} = 2 . \text{00} \mu\text{C}$, $q_{b} = - 3 . \text{00} \mu\text{C}$, $q_{c} = - 4 . \text{00} \mu\text{C}$, and $q_{d} =+ 1 . \text{00} \mu\text{C}$. The square is 50.0 cm on a side.

(a) Find the electric field at the center of the triangular configuration of charges in the figure, given that $q_{a} =+ 2 . \text{50} \text{nC}$, $q_{b} = - 8 . \text{00} \text{nC}$, and $q_{c} =+ 1 . \text{50} \text{nC}$. (b) Is there any combination of charges, other than $q_{a} = q_{b} = q_{c}$, that will produce a zero strength electric field at the center of the triangular configuration?