Question

Two 10 pf and one 20 pf capacitors are connected in series. the equivalent capacitance for this combination is:

Answer 1

The equivalent capacitance of two 10 pf and one 20 pf capacitors connected in series is 4 pf.

Step-by-step explanation:

The equivalent capacitance of two 10 picofarad (pf) and one 20 picofarad (pf) capacitors connected in series is calculated using the formula for series combination of capacitors. This formula states that the reciprocal of the equivalent capacitance (Ceq) is the sum of the reciprocals of the individual capacitances. The formula is:

1/Ceq = 1/C1 + 1/C2 + 1/C3

Substituting the given values, we get:

1/Ceq = 1/10 pf + 1/10 pf + 1/20 pf

1/Ceq = 0.1 pf-1 + 0.1 pf-1 + 0.05 pf-1

1/Ceq = 0.25 pf-1

Therefore, the equivalent capacitance Ceq is:

Ceq = 4 pf