Question

3. A thin, hollow metal sphere with a radius of 11.0 cm carries a net charge of-35.0 HC. Location P is enved 8.0 cm to the right of the swrface of the sphere. Location P2 is located inside the sphere, exactly halfway b the sphere's center and surface a. (I pt.) On the diagram below, neatly draw between 12 and 16 electric field lines. Indicate direction o field lines with arrow heads b. ( pt.) With a different color pen/pencil or with dashed lines, draw roughly 4 to 6 equipotential lines on yo sketch the Sketch the electric field lines and equipotential lines for the entire area berween and surrounding charges, nearly to the edge of the page. Shape symmetry, and relative spacing of the lines DO matter, bat peu not need to calculate anything -a qualitative sketch is fine sphere c. (3 pts.) Find the magnitude and direction of the electric field at location Pl. Show your work d. (2 pts.) Find the electric potential at location Pt. (Watch your signs! Assume zero potential at r o.) Show your work You do NOT need to show your work for the following two answers, but you must include correct units, t signs, and appropriate significant figures e. (1 pt.) At location P, the magnitude of the electric field is r. (1 pt.) At location P2, the value of the electric potential is:

Answer 1

(a) and (b) E = k q/r^2 = 9 times 10^9 times 85.0 times 10^-6/[(11.0 + 18.0) times 10^-2]^2 = 765 times 10^3/841 times 10^-4 = 9.1 times 10^6 N/C E = 9.1 times 10^6 N/C direction rightarrow It is directed towards the centre as a sphere electric potential = V = kq/r = 765 times 10^3/29 times 10^-2 26.38 times 10^5 volts Electric field at p_2 = 0 Electric potential at p_2 = v = kq/R = 765 times 1063/18 times 10^-2 = 42.5 times 10^5 42.5 times 10^5 volt