Question

static: 1.) [28 pts] Consider the collection of electric charges illustrated below surrounding a point of interest (marked with the asterisk, *), where all charges shown are fixed in place and thus point charge 41 (positive): distance from point of interest, R.; associated angle, 6. point charge Q2 (negative): distance from point of interest, R2; associated angle, 02 arc of uniformly distributed charge (net charge +Q3, with 1/3 negative and 2/3 positive): distance from point of interest, R3 line of uniformly distributed charge (net charge -Os, with 1/3 positive and 2/3 negative): distance from point of interest to the top of the line, R. (lengths also illustrated) Provide an expression for the electric potential, V, caused at the point of interest * by the source specified: (k here represents Coulomb's constant) a.) (1.25 pts] electric potential, V3, due to point charge 1 b.) (1.25 pts] electric potential, Vz, due to point charge 2 c.) [7.5 pts) electric potential, Va, due to the arc of charge d.) (15 pts) electric potential, V4, due to the line of charge e.) (3 pts) A particle (three of which are specifically named below) is brought from infinitely far away and placed at the point of interest (*). Provide an expression for the work necessary to bring the particle in and place it at the point of interest (*). I. proton (use the following variable names: charge te, mass mp) ii. electron (use the following variable names: charge -e, mass me) ii. neutron +20 R : -Q R: 0: RA +QA R L 42 Lb -204

Please, Solve it as soon as possible

Answer 1

solution 1:19). V via Kau (6) V2 = 1 Kq2 R2 RI (C) Are ne of charge 12 = R3 (1/3) La = R3 a los 283 R3 --83 R3 7/3 R3. R3 v € Potential due to arc ) V₂ = 4K X202 R3 2 K83 R3 V = { du = fada V2E V, E-k X03 R3 KB3 AV R3 [ur= V, tu2= KB3 R3 . Rq. (d) line - charge Rq La=h La 3 +84 Lb=22 3 Lb. . La - 2064 Flan L Ida La. dn V KL-2834 Lb. Rq2+22 VF kog La La n (43) da • R4² lat Vrati RA DIV Kog In La [ -2684 cool 1/L²+ R²+L To. Laurity SK Q4 In [ 43+ VR 24, v=V, U2 R4 - 2kQq (3) in FLANZARA 2/37 43² + R4² L'uti ]