Jagriti has two capacitor of variable capacities of range 50 uF to 250 uF. Find the range of capacities that she can obtain from these two capacitors.

Explanation

Here `C_(1) = 50 muF` and `C_2 = 250 muF`, These can produce maximum capacitance when connected in parallel.
`rArr C_(P) = C_(1) + C_(2)`
`C_(P) = 50 + 250 = 300 muF`
These can produce minimum capacitance when connected in series combination.
`rArr 1/C_(s) = 1/C_(1)+ 1/C_(2)`
`1/C_(s) = 1/50 + 1/250`
`1/C_(s) = (5+1)/250= 6/250`
`C_(s) = 250/6 = 41.67 muF`
So these capacitors can produce capacitance from 41-67 uF to 300 uF.