The potential of a certain charge distribution is given by V = A(x²+y²-2x²):
(a) The electric field is E=−∇V = A(-2xi -2yj+4zk)
(b) It the work done by the field when a 1. 5μC test charge moves from (x,y,z)=(0,0, 25)m to the origin of the coordinate system in measured
to be 60μJ, the coeflicient A is:
60 × 10⁻⁶ = W_field = Uᵢ- U_f = qV_i - qV_f = q(V_f - V_i) =1. 5 × 10⁻⁶ (A{0²+0²-2(25)²} - A {0²+0²-2(0)²}) → A = - 320V/m²(True,False}