The electrical potential $V$ of a region of space is given by V(x, y,z)= A(x^2-3y^2+z^2) where A is a constant. a) Derive an expression for the electric field at any point in this region.
b) The work performed by the field when a test load of 1.50 μC moves from the point (x, y,z)=(0,0,0,250 m) to the origin is equal to 6.00 x 10 ^{-5} J. Determine A.

c) Determine the electric field at the point (0,0,0,250 m).

d) Show that, in all planes parallel to the xz plane, the equipotential contours are circles.

e) What is the radius of the equipotential boundary corresponding to V = 1.280 V and y = 2.00 m?

This problem has been solved! see the answera non-uniform fire escape ladder is 6.0m long whenextended to the icy alley below. it is held at the top by africtionless pivot, and there is neglibible frictional force fromthe icy surface at the bottom. the ladder weighs 250n, and it'scenter of gravity is 2.0m along the ladder from the bottom. amother and child of total weight 750n are on the ladder 1.5m fromthe pivot. the ladder makes an angle θ with the horizontal. find the magnitude and direction ofa) the force exerted by the icy alley on the ladderb) the force exerted by the ladder on the pivotc) do your answers in part a and b depend on the angle?

A2k pendulum has a speed of 1 m/s at a height of 1/2 meter

What happens when a rubber rod is rubbed with a piece of fur?