Sketch the electric field inside the cube in the y-z plane that passes through its center. (Note that both the top and bottom of the cube are held at a potential of V0, while all other sides are at a zero potential. In the diagram, the cube sets in the x y plane with half of the cube above the plane and half below.
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Sketch the electric field inside the cube in the y-z plane that passes through its center. (Note that both the top and bottom of the cube are held at a potential of V0, while all other sides are at a zero potential. In the diagram, the cube sets in the x y plane with half of the cube above the plane and half below.
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- Sphere 1 with radius R₁ has positive charge q. Sphere 2 with radius 8R₁ is far from sphere 1 and initially uncharged. After the separated spheres are connected with a wire thin enough to retain only negligible charge, (a) is potential V1 of sphere 1 greater than, less than, or equal to potential V2 of sphere 2? What fraction of q ends up on (b) sphere 1 and (c) sphere 2? (d) What is the ratio of the final surface charge density of sphere 1 to that of sphere 2? (Answer with 2 significant figures.) (a) (b) Number i (c) Number TI (d) Number i Units Units UnitsThe radius and surface charge density of a uniformly charged spherical shell are 20 cm and 0.3 mC—2ų respectively. Calculate the electric potential at a distance (a) 40 cm (b) 15 cm from the center of the shellA hollow, thin-walled insulating cylinder of radius R and length L (like the cardboard tube in a roll of toilet paper) has charge Quniformly distributed over its surface. (a) Calculate the electric potential at all points along the axis of the tube. Take the origin to be at the center of the tube, and take the potential to be zero at infinity. (b) Show that if the result of part (a) reduces to the potential on the axis of a ring of charge of radius. (c) Use the result of part (a) to find the electric field at all points along the axis of the tube.
- Since the potential of a perfect conducting sphere with a radius of 2.7 cm in empty space is 10 V, calculate the strength of the electric field at a distance of 16.3 cm from the center of the sphere as V / m in ke.A conducting sphere of radius a sits inside a hollow conducting sphere with inside radius b and outside radius c. If the inside sphere is given a net charge q and the outside sphere is given a net charge Q, then what is the potential as a function of position, taking the potential to be zero at infinity? Include answers for r<a, a<r<b, b<r<c, and r>c.Consider a solid insulating sphere which has a total chargeof +3Q but is distributed as ρ(r) = βr, and has a radius of a. This issurrounded by a conducting shell that has a charge of −3Q placed onits outer surface. The inner radius is b and the outer radius is c. a) Determine β in terms of Q and a.b) Find the potential at all points in space
- Since the potential of a perfect conducting sphere with a radius of 2.7 cm in empty space is 10 V, calculate the strength of the electric field at a distance of 16.3 cm from the center of the sphere as V / m in ke.The thin plastic rod of length L = 18.2 cm in the figure has a nonuniform linear charge density λ= cx, where c= 24.8 pC/m. (a) With V=0 at infinity, find the electric potential at point P₂ on the y axis at y D=4.90 cm. (b) Find the electric field component Ey at P₂. (a) Number i (b) Number i D d- Units V Units V/mSince the potential of a perfect conducting sphere with a radius of 2.7 cm in empty space is 10 V, calculate the strength of the electric field at a distance of 16.3 cm from the center of the sphere as V / m in ke.
- Here a=17cm , b=8cm and the three charges are q1=33μC , q2=22μC , q3=20μC a) Calculate the potential at the controid( point p ) of the triangle. b) Consider a spherical surface of radius r=5a centred at p. Find the total electric flux through the surface.Since the potential of a perfect conducting sphere with a radius of 2.7 cm in empty space is 10 V, calculate the strength of the electric field at a distance of 16.3 cm from the center of the sphere as V / m in ke.An electric charge Q is evenly distributed along a thin bar of length a, as identified in the figure. Take the potential as zero at infinity. Find it potential in points: (a) At point P at a distance x to the right of the bar; (b) No point R on the right end of the bar, at a distance y;