PLEASE HELP WITH QUESTION 2 ALL PARTS WITH STEPS FOR GOOD RATING. I have attached question 1 and it's answers for reference.

A) Now, coming to part A We know that Electric potential is path independent So , Using Electrostatic potential energy= qV ,(where v is the potential difference) WDAB = q0(VA - VB) WDAB = 90X KQ KQ a 3a 2KQ WDAB = qOX- 3a 2KQqo WDAB 3a B) numeric value of WD AB, given that, Q = 6x10 'C, . q0 = 2x10 c, a = 0.2m, K= 9x10^9N-m?/c^2 2x9x10'x6x10 7x2x10-8 WD AB 3x0.2 WDAB = 360x10-6 WDAB = 3.6x10 J Explanation Work Done by Electrostatic force are path independent because It's force are conservative in nature Step 3/4 C) now, come to part c Charged Moved from B to C, Then Work done, WDBC = 90X(VB - Vc) KQ KQ VB Vo 3a 3a KQ KC WDBC = 90 3a 3a WDBC = OJ D) charged q0 moved from C to D, Work done , WDCD = q0(Vc - VD) Vc = KQ 3a VD = K- KQ KQ WDCD = 90 3a 2KQqo WDCD 3a WDCD = -WD AB Explanation At inside the insulating Shere, Potential difference varies V(r) = 2R# (3R2 -r2)(E) now part E, Charged particle moved from D to E Potential inside the sphere, V(r) = 2R3 KQ (3R2 - r2) , V(0) = KQx3-az 3KQ 2a3 2a V(E)= V(0) WDDE = q0( VD - VE) WDDE = q0 K2 _ 3KQ a 2a WDDE = -KQ-40 2a F) on going to Path A to B WD by charge particle is increasing because It's going to higher potential to lower potential therefore it has +ve work done Explanation AV1 = VE-VA AV= 3KQ KQ 2a a Av1= KQ/(2a), Here's is postive work doneProblem 1. A solid insulating sphere of radius a with total charge + @ uniformly spread throughout its volume, sits as shown with its center on the y-axis at y = a, as shown in Figure 1. A positive point charge +% is initially at point A on the surface of the sphere at coordinates (a, a, 0). The charge is then moved along the red path in the x-y plane. First from A to point B. which is a distance 3a from the sphere's center. Then along a circular are of radius 30 from point # to a point C lying on the y-axis. Then along the radial direction toward the center of the sphere from C to D at the top of the sphere, and finally inside of the sphere in a radial direction to the sphere's center at point. E. D A E Figure 1 For parts of all the problems on this homework labeled "Numeric," use the values ? = 6 x 10 7 C, go - 2 x 10 8 C, and a - 0.2 m. For all other parts, do all calculations symbolically. (a) What is the work Was done by the electric field of the sphere as the charge moves from A to B? (b) (Numeric). Compute the numerical value of WAR. [Ans: WAS = 3.6 x 10 4 /] (c) What is the work Wac done by the electric field of the sphere as the charge moves from B to C? (d) What is the work Wep done by the electric field of the sphere as the charge moves from C to D? (e) What is the work Woe done by the electric field of the sphere as the charge moves from D to E? (f) On which of the four segments of the path is the potential energy of the charge qu increasing? Explain. (g) What is the electric potential difference AV, = Vg - VA between points E and A? (h) (Numeric). Compute the numerical value of AVi. [Ans: AV, = 1.35 x 10* V]Problem 2. Now the point charge +4, is removed and is replaced by a different point charge with charge -290, as shown in Figure 2. This new point charge also is moved along the same multi- segment path from point A to point E. -290 3a D A B a E X Figure 2 Which of the results for Parts (a)-(h) of Problem 1 are now different from what they were with the original point charge? Calculate or write down the new results