a)A point charge of 2 × 10−9 C is located at the origin. What is the magnitude of the electric field at location ⟨0.4,0,0⟩ m? b) Next, a short, straight, thin copper wire 8 mm long is placed along the x-axis with its center at location ⟨0.2,0,0⟩ m. What is the approximate change in the magnitude of the electric field at location ⟨0.4,0,0⟩ m? (Approximate the polarized charges on the short copper wire as a dipole, and when calculating your answer, take the center of the wire as the point at which the net electric field is zero.)

What is the horizontal component of the electric field at location L?

Consider two oppositely charged, parallel metal plates. The plates are square with sides of 58 cm and carry charges 74 μC and -74 μC. What is the magnitude of the electric field (in N/C) in the region between the plates?

Near the surface of Earth, an electric field points radially downward and has a magnitude of approximately 100 N/C. 1)What charge (magnitude and sign) would have to be placed on a penny that has a mass of 3.11 g to cause it to rise into the air with an upward acceleration of 0.590 m/s2? (Express your answer to three significant figures.)

Two point charges of 8.66 x 10^-9 are situated in a Cartesian coordinate system. One charge is at the origin while the other is at (0.78, 0) m. What is the magnitude of the net electric field at the location (0, 0.73) m?

Three identical charges  (q = −8.0 ?C)  lie along a circle of radius 2.7 m at angles of 30°, 150°, and 270°, as shown in the figure below. What is the resultant electric field at the center of the circle?

Three equal charges q = +2.00 nC lie along the x axis with one at the origin and the other two at x = ± 1.00 m, respectively, as shown. Point P is located at z = 1.00 m. P Determine the magnitude of the electric field at point P. Express your answer in N/C, to at least one digit after the decimal point.

A positive charge (+2C) and a negative charge (-3C) are separated by a distance of 0.5 m. What are the magnitude and direction of the electric field at the location of the negative charge due to the positive charge?

A charge q1=+2q is at the origin, and a charge q2=−q is on the x-axis at x=a, where a>0. Find the expression Ex<0 for the total electric field on the x-axis in the region x<0. Use k to represent Coulomb's constant.   Find the expression E0<x<a for the total electric field on the x-axis in the region 0<?<?.   Find the expression Ea<x for the total electric field on the x-axis in the region ?<?.   Determine all the points x on the x-axis where the electric field is zero. If there is more than one point, enter them as a comma‑separated list.

A small object of mass 3.50 g and charge −17.9 μC is suspended motionless above the ground when immersed in a uniform electric field perpendicular to the ground. What are the magnitude and direction of the electric field? magnitude= Direction east, downward, west, or upward?