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- and 1 more is Part D What is the potential difference between the surface of the sphere (at RR) and the center of the sphere (r=0r=0)? Give your answer in terms of the variables QQQ, rrr and RRR. Combine all numerical values into one numerical multiplier.Two concentric spherical surfaces A and B are equipotential surfaces for a positive charge +q placed at thecentre. First we place another positive charge +Q between A and B, as shown in Figure 1.• a) In which direction will the new charge (+Q) move (radially outwards or inwards)? Justify your answer.• b) How will the electrostatic potential energy of +Q change? Justify your answer. • c) Next, consider that the +Q is instead placed at point B. What would the work then be done to moveit from point B to point C? Justify your answer.Two concentric spherical surfaces A and B are equipotential surfaces for a positive charge +q placed at the centre. First we place another positive charge +Q between A and B, as shown in Figure 1. a) In which direction will the new charge (+Q) move (radially outwards or inwards)? Justify your answer. b) How will the electrostatic potential energy of +Q change? Justify your answer. c) Next, consider that the +Q is instead placed at point B. What would the work then be done to move it from point B to point C? Justify your answer.
- Please provide an adequate explanation.1. Are electric field vectors always perpendicular to equipotential lines? Why or why not?2. If we introduced a negative test charge into our disc-rod system, where do we expect the charge to go? Why?3. Suppose that we configured the system such that the rod has the higher potential than the disc:a. Which region(s) will have the strongest and weakest electric fields? Why?b. What will be the general direction of the electric field?Part B through F Please. I have no idea where to start. metal sphere with radius ra is supported on an insulating stand at the center of a hollow, metal, spherical shell with radius rb. There is charge +q on the inner sphere and charge −q on the outer spherical shell. Take V to be zero when is infinite. Part B Calculate the potential V(r) for ra<r<rb.Express your answer in terms of the given quantities and appropriate constants. Part C Calculate the potential V(r)for r>rb.Express your answer in terms of the given quantities and appropriate constants. Part D Find the potential of the inner sphere with respect to the outer.Express your answer in terms of the given quantities and appropriate constants Part E Use the equation Er=−∂V/∂r and the result from part (b) to find the electric field at any point between the spheres (ra<r<rb).Express your answer in terms of the given quantities and appropriate constants. Part F Use the equation Er=−∂V/∂r and the result from part (c)…From a distance of 10 cm, a proton is projected with a speed of v = 4.0 ✕ 106 m/s directly at a large, positively charged plate whose charge density is σ = 3.3 ✕ 10−5 C/m2. (See below.) (a)Does the proton reach the plate? (b)If not, how far from the plate (in cm) does it turn around? (If the proton does reach the plate, enter zero.)
- Consider a parallel plate capacitor having plates of area 1.55 cm2 that are separated by 0.022 mm of neoprene rubber. You may assume the rubber has a dielectric constant κ = 6.7. Part (a) What is the capacitance in nanofarads? Part (b) What charge, in coulombs, does the capacitor hold when 9.00 V is applied across it?2) A stationary proton is moved from point A, where the potential is 450 V, to point B, where the potential is 125 V. (a) How much work is done by the electric force? (b) What is its speed at point B?1. What are the important points regarding the concepts of: Electric Potential and Capacitor? Please elaborate. 2. What are the specific applications of the concepts in real world, and how does it work? Please elaborate.
- You own a proton gun. You start moving a stationary proton from point A, where the potential is 450.0 V, to point B, where the potential is 125 V. (a) How much work is done by the electric force? (b) What is its speed at point B?Part (a) Find the electric potential Vp at point P, in volts. Assume the potential is zero at infinity. Part (b) How much work W, in joules, would you have to do to bring the third charge, 93, from very far away to the point P? Part (c) What is the total potential energy U, in joules, of the final configuration of three charges?1:Estimate the capacitance. Express your answer using one significant figure. c= ? F 2: Estimate the charge on each plate. Q: ? C 3: Estimate the electric field halfway between the plates. E= ? V/M 4: Estimate the work done by the battery to charge the plates. W= ? J