microscope Figure 18.58 In the Millikan oil drop experiment, small drops can be suspended in an electric field by the force exerted on a single excess electron. Classically, this experiment was used to determine the electron charge qe by measuring the electric field and mass of the drop.

A uniform charge distribution of total charge Q (Q>0) is located along the x-axis. The left end of the charge distribution is located at x=-(144/13)m and its right end is located at x=(25/13)m. Our goal is to calculate the electric field at point P which is located at (x,y)=(0,d). Use letters k for the Coulomb constant, Q for the total charge, d for the y-coordinate of point P, and x and y, for the cartesian coordinates in your responses. (a) Determine the expression for dq. (b) Determine the expression for r2, the magnitude of the vector that is directed from the element of charge dq to the location in which the field is to be determined. (c) Determine the expression for r̂ the unit vector that is directed from the element of charge dq to the location in which the field is to be determined (d) Write the expression for d due to the element of charge dq. (e) Let d=(60/13)m. Integrate the expression to determine the electric field at P. Perform this integration by hand. Avoid using…

Suppose a point charge creates a 10500 N/C electric field at a distance of 0.55 m. The magnitude of the point charge in coloumbs in 3.53x10-7. What is the strength of the field, in ntewtons per coulomb, at a distance of 10 m?

A DROP OF CHARGED OIL WITH RADIUS R = 2.76 μm AND DENSITY ρ=920 Kg/m^3 IS KEPT IN EQUILIBRIUMUNDER THE COMBINED INFLUENCE OF ITS WEIGHT AND A UNIFORM ELECTRIC FIELD DIRECTED VERTICALLY DOWNWARDS AND OF MAGNITUDE E =1.65x10^6 N/C. CALCULATE THE MAGNITUDE AND SIGN OF THE CHARGE ON THE DROP IN TERMS OF THE CHARGE OF THE ELECTRON

(a) Determine the electric field strength at a point 1.00 cm to the left of the middle charge shown in the figure below. (Enter the magnitude of the electric field only.) (b) If a charge of −6.49 µC is placed at this point, what are the magnitude and direction of the force on it?

In the figure a smallI, nonconducting ball of mass m = 0.92 mg and charge q = 2.0 x 108 C (distributed uniformly through its volume) hangs from an insulating thread that makes an angle 0 = 39° with a vertical, uniformly charged nonconducting sheet (shown in cross section). Considering the gravitational force on the ball and assuming the sheet extends far vertically and into and out of the page, calculate the surface charge density o of the sheet. n, 4 ++++ + + tE + +