Corcider the six d ffcrent capec tos below. Renk the following quantities from g

Question

Corcider the six d ffcrent capec tos below. Renk the following quantities from greatect to cmallest. Use only'> orymbols If eny clements sre ecual, show hir cquelity in slphsbetic orcer forxsmole: >b-c. (a) a 20-LF cepacitor with a4- potential difference between its plstes (b) a 30-F capacitor wch charges of magn ture 90 © or each plate (c) a capacitor with charge of magnitude 80 C on its p ates, d fenng by 2 V in potential (d) a 10-F cspacitor stor ng 125 u (e) a capacitor storing energy 250 with a 10V ptentiel difference (f) a cap citor storing charge 1 20 C and energy 360 1 Rank the cepacitors in order of capacitance i Rank the capacitors in orde af potential ditherence eteen the plates k the capaitos in the urdr of the magritudes of the harges on their plts iv) Rank the cacscitors in the order of the enegy the store

Explanation / Answer

i] capacitances of a is 20 uF, b is 30 uF, c is Q/V= 80/2 = 40 uF,

d is 10uF, e is 2U/V^2 = 2*250/10^2 = 5 uF , f is Q^2/2U = 120^2/(2*360) = 20uF

So, c > b > a = f > d > e

ii] potential difference in a is 4V, b is Q/C =90/30 = 3V, c is 2V, d is sqrt(2U/C) = sqrt(2*125/10) = 5V

e is 10V, f is Q/C = 120/20 = 6V

so ,   e > f > d > a > b > c

iii] charge of a is CV = 20*4 =80uC, b is 90uC, c is 80uC, d is CV=5*10 = 50uC,

e is CV = 10*5 = 50 uC, f is 120 uC

f > b > a = c > d = e

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