4) When two or more capacitors are connected in parallel across a potential diff

Question

4) When two or more capacitors are connected in parallel across a potential difference A) the potential difference across each capacitor is the same. B) the equivalent capacitance of the combination is less than the capacitance of any of the capacitors. C) each capacitor carries the same amount of charge. D) All of the above choices are correct. E) None of the above choices are correct. 5) Three capacitors are connected as shown in the figure. What is the equivalent capacitance between points a and b? 2.0pF 4.0 6) Three capacitors, of capacitance 5.00 F, 10.0 F, and 50.0 F. are connected in series across a V voltage source. (a) How much charge is stored in the 5.00-uF capacitor? (b) What is the potential difference across the 10.0-uF capacitor? (c) What is the total electrical potential energy of the three capacitors? 120-

Explanation / Answer

4)

Option A is the correct answer.

Since, in parallel connection only potential diffrence is same across each capacitor.

5)

1/Ceq = 1/2 + 1/(4+6)

Ceq = 1.7 micro F

so, Option D is the correct answer.

6)
a) 1/Ceq = 1/5 + 1/10 + 1/50

Ceq = 3.125 micro F

charge on every capacitor, Q = Ceq*V

= 3.125*12

= 37.5 micro C

b)potential diffrence across 10 micro F capacitor = Q/C

= 37.5/10

= 3.75 V

c) U = (1/2)*Ceq*V^2

= (1/2)*3.125*12^2

= 225 micro J or 2.25*10^-4 J or 0.225 mJ

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