Consider the six different capacitors below. Rank the following quantities from

Question

Consider the six different capacitors below. Rank the following quantities from greatest to smallest. Use only '>' or '=' symbols. If any elements are equal, show their equality in alphabetic order - for example: a>b=c. (a) a 20-F capacitor with a 4-V potential difference between its plates (b) a 30-F capacitor with charges of magnitude 90 C on each plate (c) a capacitor with charges of magnitude 80 C on its plates, differing by 2 V in potential (d) a 10-F capacitor storing 125 J (e) a capacitor storing energy 250 J with a 10-V potential difference (f) a capacitor storing charge 120 C and energy 360 J

(iv) Rank the capacitors in the order of the energy they store

Explanation / Answer

a) U = (1/2) CV^2 = (1/2) (20uF)(4)^2 = 160uJ

b) U = Q^2/ 2C = (90uC)^2 / 2(30uF) = 135uJ

c) U = Q^2 / 2C = (80uC)^2 / 2 (40uF) = 80uJ

d) U = 125uJ

e) U=250uJ

f) = U= 360uJ

Increasing order of capacitors is F > e > a > b > d > c

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