Three-point charges of 20 pC each are located in free space on the x axis at x = -1,0, and 1. Find the resultant force on a 1 – C charge located at (1,10, 2). Express the answer in vector form.
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- Your answer is partially correct. The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 2.13 µC, x1 = 4.35 cm, Y1 = 0.304 cm and 92 = -5.93 µC, x2 = -2.30 cm, y2 = 1.07 cm. Find the (a) magnitude and (b) direction (with respect to +x-axis in the range (-180°;180°]) of the electrostatic force on particle 2 due to particle 1. At what (c) x and (d) y coordinates should a third particle of charge q3 = 6.16 µC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero? (a) Number 25.3 Units N (b) Number i 173.44 Units ° (degrees) (c) Number -3.6 Units m Number i 0.42 Units mFind the electric field vector anywhere in the plane of a dipole. Let the charge value on one charge be q. Let them be separated by d. Let the origin be in between them. And say they are each on the y axis.Four equal charges, q, are fixed at the corners of a square of side a in the xy-plane centered on the origin. A bead of mass m and charge -q is positioned at the origin. A thin, frictionless string along the z-axis threads the bead, thus restricting its mo- tion to the z-axis. The bead is then displaced from the origin by a small amount Zo < 0 and released from rest. Show that the bead undergoes simple harmonic motion (to a very good approximation), and derive an expression for its period of oscillation in terms of known parameters.
- A charge +q is located at the origin, while an identical charge is located on the x axis at x = +0.74 m. A third charge of +2q is located on the x axis at such a place that the net electrostatic force on the charge at the origin doubles, its direction remaining unchanged. Where should the third charge be located?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 + +