Question

(i) Rank the following five capacitors from greatest to smallest capacitance, noting any cases of equality. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.)

(a) a 20-µF capacitor with a 4-V potential difference between its plates
(b) a 30-µF capacitor with charges of magnitude 90 µC on each plate
(c) a capacitor with charges of magnitude 80 µC on its plates, differing by 2 V in potential
(d) a 10-µF capacitor storing energy 125 µJ
(e) a capacitor storing energy 250 µJ with a 10-V potential difference

(ii) Rank the same capacitors in part (i) from largest to smallest according to the potential difference between the plates.

(iii) Rank the capacitors in part (i) in the order of the magnitudes of the charges on their plates.

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

Please explain how you got your answer.

Answer 1

To resolve this problem you have to know about Capacitor

Step 1.

Definition: is a passive two-terminal electrical component used to store energy electrostaticallyin an electric field. The forms of practical capacitors vary widely, but all contain at least two electrical conductors (plates) separated by a dielectric.

An ideal capacitor is wholly characterized by a constant capacitance C, defined as the ratio of charge ±Q on each conductor to the voltage V between them:

  

Energy of electric field

Work must be done by an external influence to "move" charge between the conductors in a capacitor. When the external influence is removed, the charge separation persists in the electric field and energy is stored to be released when the charge is allowed to return to its equilibrium position. The work done in establishing the electric field, and hence the amount of energy stored, is

Here Q is the charge stored in the capacitor, V is the voltage across the capacitor, and C is the capacitance.

Step 2.

i).-

(a)

(b)

(c)

(d)

(e)

   ANSWER:   

ii).-

(a)

(b)

(c)

(d)

(e)

   ANSWER:   

iii).-

(a)

(b)

(c)

(d)

(e)

   ANSWER:   

iv).-

(a)

(b)

(c)

(d)

(e)

   ANSWER:   

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