3 Charged particles, labeled A, B, and C, exist in a region of space with charge

Question

3 Charged particles, labeled A, B, and C, exist in a region of space with charges 2C, -5C, and 10 C respectively. Particle A is at point (0, 0). B is at (3, 5), and C is at (1, 7). a. Find the value of the electric potential V, Electric Field E, the force F at position (2, 1) b. Find the work required to move a charge from position (2, 1) to a new position (3, 0) A capacitor consists of two square parallel plates with of side length .05 m that are separated by a distance of .1 m. a. Find the capacitance b. Find the voltage across the capacitor required to charge it to a value of 2C c. Find the energy stored on the capacitor when the charge is 2C. a. Given the circuit above: Find the value of the currents 11, 12, 13 b. Find the value of the current that I would measure if I used an ammeter with internal resistance R_i-.5 Ohm to measure 12. Given that the battery has 12 volts, and Capacitors C1 and C2 have capacitances 2F and 4F respectively, a. Find the time it would take to charge capacitor C2 75% and what is the charge? b. Find the voltage across capacitor C1 c. Find the equivalent capacitance of the two capacitors.

Explanation / Answer

2)

C =eoA/d

A = area of plate = L^2 = 0.05^2 = 2.5 x 10^-3 m^2

d = 0.1m

C = 8.85 x 10^-12 * 2.5 x 10^-3 / 0.1

C = 2.2125 x 10^-13 F

b )

V = Q/C = 9 x 10^12 V

c )

U = Q^2/2C

U = 9.0395 x 10^12 J

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