charge of an electron- --1.6x10- 19 C.. charge of a proton e 1.6x10C mass of an

Question

charge of an electron- --1.6x10- 19 C.. charge of a proton e 1.6x10C mass of an electron 9.11 10-31 kg mass of a proton- 1.67 x1027 kg k-9.0x10N m2/c2 -8.854 x 10-12 C2/N for clearly legible Place your answer in the spacc() provided. Show all your work neatly. Partial credits may be given for clearly legb and correct steps. Problem 2, Circle the one alternative that best completes the statement or answers the que (Each 6 points) (a) Show that the equivalent capacitance ofthree capacitors in sees can be writen as 3.00 F 6.00 F b) For the system of four capacitors shown in figure below,find G) the equivalent capacitance of the system, (ii) the charge on each capacitor, (ii) the potential difference across each 2.00 F 4.00 F 90.0 V

Explanation / Answer

a) in a series circuit total charge remains same across all the capacitors

assume that voltage across there capacitors are v1,v2 and v3

v = v1+v2+v3

from the relation q = cv

v = q/c

q/c = q/c1+q/c2+q/c3

1/c = 1/c1+1/c2+1/c3

2) 3 and 6 are in sereis

so c36 = 3*6/3+6 = 2*10^-6 F

2 and 4 are in series

c24 = 2*4/2+4 = 1.33*10^-6 F

c to0t = c24+c36 = 3.33*10^-6 F

d) q = cv = 3.33*10^-6*90 = 299.7*10^-6 C

in parallel voltage is same

so v24 = v36 = 90 V

q24 = 1.33*10^-6*90 = 119.7*10^-6 C

q36 = 2*10^-6*90 = 180*10^-6 C

IN SERIES Q IS SAME

SO Q2 = Q4 = 119.7*10^-6 C

Q3 = Q6 = 180*10^-6 C

C) V2 = 119.7/2 = 59.85 V

V4 = 119.7/4 = 29.925 V

V3 = 180/3 = 60 V

V6 = 180/6 = 30 V

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