An expression for the potential of a point charge at the origin is: V(r) = q/4 p

Question

An expression for the potential of a point charge at the origin is: V(r) = q/4 pi element of_0 r where r is the distance from the origin to the point of interest. What is this potential referenced to? How do the charges carried by 2 parallel plate capacitors compare if capacitor 1 has twice the plate separation of capacitor 2, and the potential difference across the plates of capacitor 1 is twice that across capacitor 2? A particle carrying a charge of 6.0 nC is released from rest in a uniform electric field of magnitude 2.0 times 10^-3 N/C. What is the electrostatic work done on the particle after it has moved 4.0 m? What is the particle's kinetic energy at the instant it reaches 4.0 m? What is the electric field for a charge distribution which creates an electrostatic potential (referenced to 0 at infinity) of V(x, y, z) = 2x^2y? If a certain capacitor has an initial plate separation of 1 mm, an area of 0.01 m^2, and a charge of 3.3 mu C, how much energy is needed to increase the plate separation to 2.0 mm? A circular loop with radius of 1 meter is placed in the x-y plane. A charge of +q is placed on the z axis at z = +1 m and. another charge of +q placed on the z axis at z = -1 m. What is the total electric flux through the hoop? A 5 meter radius metal sphere has 3, 0.5 meter radius spheres hollowed out with the centers of the hollows positioned 1 meter inside the cube where each positive axis of a Cartesian coordinate system passes through the surface of the sphere (see figure). 1 of the 3 hollows has a charge +2q

Explanation / Answer

5

initial capacitance=C=epsilon*A/d=8.854*10^(-11)

final capacitance=C'=epsilon*A/new d=4.427*10^(-11)

difference in energy=0.5*Q^2*(1/C' - 1/C)=0.0615 J

energy required=0.0615 J

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