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Determine the electric potential energy for the array of three charges in the drawing, relative to its value when the charges are infinitely far away and infinitely far apart. Number Units

Determine the electric potential energy for the array of three charges in the drawing, relative to its value when the charges are infinitely far away and infinitely far apart. Number Units

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Determine the electric potential energy for the array of three charges in the drawing, relative to its value when the charges are infinitely far away and infinitely far apart.
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Determine the electric potential energy for the array of three charges in the drawing, relative to its value when the charges are infinitely far away and infinitely far apart. (q1 = +8.6 μC, q2 = −15.4 μC, and q3 = +20 μC) (k = 9.00×109 N.m2/C2)
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The figure (Figure 1) shows eight point charges arranged at the corners of a cube with sides of length d. The values of the charges are +q and −q, as shown. This is a model of one cell of a cubic ionic crystal. In sodium chloride ( NaCl), for instance, the positive ions are Na+ and the negative ions are Cl−. Figure 1 of 1 Part A Calculate the potential energy U of this arrangement. (Take as zero the potential energy of the eight charges when they are infinitely far apart. ) Express your answer in terms of the given quantities and appropriate constants. U = Submit Request Answer

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Part A Suppose that a conducting sphere of radius R carries a charge q. Find the electric potential V on the surface of the sphere. (Assume that infinitely far away from the sphere the potential is 0. ) Write your answer in terms of q, R and ϵ0. Submit Request Answer Part B Find the potential energy U of the charged sphere. Write your answer in terms of q, R and ϵ0. U = Part C Now suppose there are two conducting spheres with radii R1 and R2. We have a total charge Q to place on these two spheres, so we put q on sphere 1 and Q−q on sphere 2. Find the total potential energy U of both spheres. (Assume the spheres are far enough apart that they don't interact with each other. Thus the total energy is U = U1+U2, with U1 and U2 as in Part B. ) Write your answer in terms of q, Q, R1, R2 and ϵ0. Submit Request Answer Part D If we connect the two spheres with a thin wire, charge will flow from one to the other until the total potential energy is a minimum. What value of q makes the potential energy U as small as possible? Write your answer in terms of Q, R1, R2 and ϵ0. Part E After we connect the wire and allow the charge to redistribute itself, what is the potential V1 on the surface of sphere 1 ? Write your answer in terms of Q, R1, R2 and ϵ0. Submit Request Answer Part F After we connect the wire and allow the charge to redistribute itself, what is the potential V2 on the surface of sphere 2? Write your answer in terms of Q, R1, R2 and ϵ0. Part A Suppose that a conducting sphere of radius R carries a charge q. Find the electric potential V on the surface of the sphere. (Assume that infinitely far away from the sphere the potential is 0. ) Write your answer in terms of q, R and ϵ0. Submit Request Answer Part B Find the potential energy U of the charged sphere. Write your answer in terms of q, R and ϵ0. U = Part C Now suppose there are two conducting spheres with radii R1 and R2. We have a total charge Q to place on these two spheres, so we put q on sphere 1 and Q−q on sphere 2. Find the total potential energy U of both spheres. (Assume the spheres are far enough apart that they don't interact with each other. Thus the total energy is U = U1+U2, with U1 and U2 as in Part B. ) Write your answer in terms of q, Q, R1, R2 and ϵ0. Submit Request Answer Part D If we connect the two spheres with a thin wire, charge will flow from one to the other until the total potential energy is a minimum. What value of q makes the potential energy U as small as possible? Write your answer in terms of Q, R1, R2 and ϵ0. Part E After we connect the wire and allow the charge to redistribute itself, what is the potential V1 on the surface of sphere 1 ? Write your answer in terms of Q, R1, R2 and ϵ0. Submit Request Answer Part F After we connect the wire and allow the charge to redistribute itself, what is the potential V2 on the surface of sphere 2? Write your answer in terms of Q, R1, R2 and ϵ0. Part A Suppose that a conducting sphere of radius R carries a charge q. Find the electric potential V on the surface of the sphere. (Assume that infinitely far away from the sphere the potential is 0. ) Write your answer in terms of q, R and ϵ0. Submit Request Answer Part B Find the potential energy U of the charged sphere. Write your answer in terms of q, R and ϵ0. U = Part C Now suppose there are two conducting spheres with radii R1 and R2. We have a total charge Q to place on these two spheres, so we put q on sphere 1 and Q−q on sphere 2. Find the total potential energy U of both spheres. (Assume the spheres are far enough apart that they don't interact with each other. Thus the total energy is U = U1+U2, with U1 and U2 as in Part B. ) Write your answer in terms of q, Q, R1, R2 and ϵ0. Submit Request Answer Part D If we connect the two spheres with a thin wire, charge will flow from one to the other until the total potential energy is a minimum. What value of q makes the potential energy U as small as possible? Write your answer in terms of Q, R1, R2 and ϵ0. Part E After we connect the wire and allow the charge to redistribute itself, what is the potential V1 on the surface of sphere 1 ? Write your answer in terms of Q, R1, R2 and ϵ0. Submit Request Answer Part F After we connect the wire and allow the charge to redistribute itself, what is the potential V2 on the surface of sphere 2? Write your answer in terms of Q, R1, R2 and ϵ0.

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