Question

Rank the following five capacitors from greatest to smallest capacitance: (1) a 20-mF capacitor with a 4-V potential difference between its plates (2) a 30-mF capacitor with charges of magnitude 90 mC on each plate (3) a capacitor with charges of magnitude 80 mC on its plates, differing by 2 V in potential, (4) a 10-mF capacitor storing energy 125 mJ (5) a capacitor storing energy 250 mJ with a 10-V potential difference

Answer 1

The five capacitors from greatest to smallest capacitance are:

(3) a capacitor with charges of magnitude 80 mC on its plates, differing by 2 V in potential.

(2) a 30-mF capacitor with charges of magnitude 90 mC on each plate.

(1) a 20-mF capacitor with a 4-V potential difference between its plates.

(4) a 10-mF capacitor storing energy 125 mJ.

(5) a capacitor storing energy 250 mJ with a 10-V potential difference.

Explanation:

Let each of the given capacitors be $C_{1}, C_{2}, C_{3}, C_{4}, C_{5}$

Given that,

1). $C_{1}$ = 20-mF

2). $C_{2}$ = 30-mF

3). Q = 80 mc, V = 10V

Q = $C_{3}V$

$C_{3}$ = Q/V = 80mc/2 = 40 mF

4). $C_{4}$ = 10-mF

5). E = 250 mV, V = 10-mF

E = 1/2$C_{5}$V^2

$C_{5}$ = 2E/V^2 = (2 * 250)/10^2 = 500/100

$C_{5}$ = 5mF

Thus,

The correct order of greatest to smallest capacitance is

$C_{3}$ > $C_{2}$  > $C_{1}$ > $C_{4}$ > $C_{5}$

Learn more: Capacitance

brainly.in/question/7125228