Physics 2- Electric Potential: Please provide description of steps. Question 1:

Question

Physics 2- Electric Potential:

Please provide description of steps.

Question 1: A rod of length L = 0.15 m is placed along the x-axis from x = 0 to x = L. The rod carries a uniform linear charge density of = 1.83E-11 C/m. Find an expression for the infinitesimal charge along the rod in terms of the variables, L, , x, y, and/or the differential positions dx and dy. What is the value of the potential at the point (xob, yob) in volts for xob = 1.9 m and yob = 1.05 m?

Question 2: A conducting sphere of radius r1 = 0.49 m has a total charge of Q = 1.1 C. A second uncharged conducting sphere of radius r2 = 0.29 m is then connected to the first by a thin conducting wire. The spheres are separated by a very large distance compared to their size.What is the total charge on sphere two, Q2 in C?

Explanation / Answer

Let the charge after connecting be Q1 and Q2

so Q1 + Q2 = Q = 1.1 x 10-6

Q1 = (1.1 x 10-6) - Q2                                   eq-1

the charge stops flowing from sphere 1 to sphere 2 when the electric potential on them become equal

V1 = V2

k Q1/r1 = k Q2/r2

((1.1 x 10-6) - Q2)/(0.49) = Q2/(0.29)

Q2 = 4.1 x 10-7 C

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