3.4 μC and -2.6 μC charge are placed 2.5 cm apart. At what points along the line joining them is (a) the electric field zero, and (b) the electric potential zero?

The electric potential V in a region of space is given by V(x, y, z) = A(x² – 3y² + z?) where A = 4.00x103 J/(C-m²). a) What is the electric field at the point (1.00 m, 1.00 m, 1.00 m)? b) If an 8.854 x 10-12 kg test charge of +1.50 µC were placed at the point (0, 0, 1.00 m) and released from rest, will it move toward the origin or away from the origin? Explain. c) After starting from rest at the point (0, 0, 1.00 m), what will be the speed of the test charge after it has traveled 1.00 m along the z-axis?

The thin plastic rod of length L = 18.2 cm in the figure has a nonuniform linear charge density λ= cx, where c= 24.8 pC/m. (a) With V=0 at infinity, find the electric potential at point P₂ on the y axis at y D=4.90 cm. (b) Find the electric field component Ey at P₂. (a) Number i (b) Number i D d- Units V Units V/m

Consider a point charge q = 0.81 µC, point A at distance d₁ = 1.9 m from q, and point B at distance d₂ = 0.93 m. (a) If A and B are diametrically opposite each other, as in Figure (a), what is the electric potential difference VA - VB? (b) What is that electric potential difference if A and B are located as in Figure (b)? (a) Number (b) Number i B (a) Units Units < d₁ (b) A