The electric field at the origin is 0 N/C. Charge 2 has twice the charge of charge 1 and is placed on the x-axis at position . Where is charge 1 located?

Point charges of 28.0 µC and 48.0 µC are placed 0.500 m apart. (a) At what point (in m) along the line connecting them is the electric field zero?                         m (from the smaller charge) (b) What is the magnitude (in N/C) and direction of the electric field halfway between them? magnitude ? N/C Direction: towards larger or smaller charge?

An infinite line of positive charge lies along the y axis, with charge density A = 1.10 µC/m. A dipole is placed with its center along the x axis at x = 21.0 cm. The dipole consists of two charges ±10.0 µuC separated by 2.00 cm. The axis of the dipole makes an angle of 25.0° with the x axis, and the positive charge is farther from the line of charge than the negative charge. Find the net force exerted on the dipole.

The drawing shows two situations in which charges are placed on the x and y axes. They are all located at the same distance of 5.90 cm from the origin O. For each of the situations in the drawing, determine the magnitude of the net electric field at the origin. -5.0 uC +1.0 uC +2.0 µC -3.0 µC +4.0 µC -1.0 µC +6.0 uC (a) (b) (a) E = i (b) E = i

The drawing shows two situations in which charges are placed on the x and y axes. They are all located at the same distance of 5.00 cm from the origin O. For each of the situations in the drawing, determine the magnitude of the net electric field at the origin. -l.0 μC +1.0 uC +2.0 uC -3.0 µC +4.0 µC -1.0 uC o! +6.0 uC (b) (a)

A point charge located at the origin generates an electric field that has the value E = (830 N/C) i + (150 N/C) j at the point (x, y) = (2.50 m, 3.20 m). What is the value of the charge?

A small plastic ball of mass 5.86 x 10-3 kg and charge +0.178 µC is suspended from an insulating thread and hangs between the plates of a capacitor (see the drawing). The ball is in equilibrium, with the thread making an angle of 30.0° with respect to the vertical. The area of each plate is 0.01293 m². What is the magnitude of the charge on each plate? Number p Units + + 30.0⁰ + TA TA T I

Three charged particles lie in the x y-coordinate plane at the vertices of an equilateral triangle with side length 0.500 m. All charges are measured in µC. Positive charge A is at the origin. Positive charge B is in the first quadrant, along a line 60.0°counterclockwise from the positive x-axis. Negative charge C is at (0.500, 0). (a) Three point charges, A = 2.35 µC, B = 7.10 µC, and C =  −3.90 µC, are located at the corners of an equilateral triangle as in the figure above. Find the magnitude and direction of the electric field at the position of the 2.35 µC charge.   (a) magnitude                                              N/C direction                          ° below the +x-axis (b) How would the electric field at that point be affected if the charge there were doubled?  The magnitude of the field would be halved. The field would be unchanged.     The magnitude of the field would double.T he magnitude of the field would quadruple.  (C) Would the magnitude of the…

Charges X (+5 microCoulombs), Y (+5 microCoulombs), and Z (-5 microCoulombs) are located in a straight line with point Y midway between charges X and Z.  Charge X is on the left, Y in the middle, and Z on the right.  Where along the line that passes through the three points could the Electric Field Strength be Zero?  (Include all possible locations.)