Find the minimum amount of work required by an external force to move the charge q₁ to infinity. Let q₁ = +2.60 μC, = -3.10 μC, 48 = -3,80 μC. J

Problem 13:   Each plate of a parallel-plate capacitor has an area of A = 0.61 m2. The plate separation is 3.0 mm, and one of these plates is shown in the figure. It carries a charge of Q = 2.9 μC, which is concentrated on its inner surface. Imagine a cylindrical Gaussian surface, of radius r = 0.012 m, whose axis is perpendicular to the plates. One end of the cylinder is inside the plate shown and the other end is located between the plates. Both ends are parallel to the plates. Part (a)  What is the flux through surface 1 Φ1, in newton meters squared per coulomb?  Part (b)  What is the flux through surface 2 (the outside of the cylinder not including the ends), in newton meters squared per coulomb?  Part (c)  What is the flux through surface 3 Φ3, in newton meters squared per coulomb?  Part (d)  Using all of your results, input an expression for the field within the capacitor E, in terms of the quantities given in the problem.

5. Three point-like charges are placed at the corners of a rectangle as shown in the figure, a = 38.0 cm and b = 48.0 cm. q2 = +3.30 μC, Find the work done by the electric field force when the charge q2 is moved to infinity. Let q₁ = -2.50 µC, 93 = +3.60 μC. J f60 ssf60 s too s ai 91 ssf60 ssf60 ssf60 ssf60 ssf60 ssfóð 09js (9) 09.19js (9js (9jss 93 ssf60 ssss$60 ssf60 sst ssf6092 oss is mos f60 ssf60 ssf60 ssf60 ssf60 ssf60 50 ssf60 ssf60 ssf

A point charge of 1.0 x 10-9 C is located at the origin. How much work is required to bring a positive charge of 5.0 x 10-9 C from infinity to the location x = 30.0 cm? J

A small plastic ball with a mass of 6.65 10-3 kg and with a charge of +0.149 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 0.0138 m2. What is the magnitude of the charge on each plate? C

A point charge q1= +7.00 µC is held stationary at the origin. A second point charge q2= -7.40 µC moves from the point x = 0.150 m, y=0 to the point x = 0.250 m, y=0.250 m. How much work is done by the electric force on q2? Ensure that you include a negative sign if relevant

Three identical point charges (+36 µC) are placed at the corners of an equilateral triangle that has {20 cm sides. How much work ( in units of J) is required to assemble this charge arrangement starting with each of the charges a very large distance from any of the other charges? Select one: A. 175.0 B. 64.8 C. 129.6 D. 103.7

Three identical point charges (+33 µC) are placed at the corners of an equilateral triangle that has (20 cm sides. How much work (in units of J) is required to assemble this charge arrangement starting with each of the charges a very large distance from any of the other charges? Select one: OA. 108.9 OB. 87.1 OC. 147.0 OD. 54.5

A particle with a charge of 5.5 x 10-8 C is fixed at the origin. A particle with a charge of -2.3 x 10-8 C is moved from x = 3.5 cm on the x axis to y = 4.3 cm on the yaxis. The change in potential energy of the two-particle system is: O 3.1x 10-³ J O -3.1x10-³ J O 6.0x 10-5 J -6.0 x 10-5 J O OJ