Question

Two capacitors of capacities 5 μF and 10 μF respectively are connected in series. Calculate the resultant capacity of the combination.

Answer 1

Given: C₁ = 5 µF, C₂ = 10 µF,

To find: C_s = ?

C₁ and C₂ are in series.

`1/"C"_"s" = 1/"C"_1 + 1/"C"_2`

⇒ `1/"C"_"s" = 1/5 + 1/10`

⇒ `1/"C"_"s" = (2 + 1)/10`

⇒ `1/"C"_"s" = 3/10`

⇒ `"C"_"s" = 10/3 ~~ 3.33 mu F`