The minimum value of effective capacitance that can be obtained by combining 3 capacitors of capacitances 1 pF, 2 pF and 4 pF is

Options

A. `(4)/(7)PF`
B. 1 pF
C. `(7)/(4)pF`
D. 2 pF

Answer

A

Explanation

The minimum value of effective capacitance is get in series combination. Now, the equivalent capacitance,
`(1)/(C_(eq))=(1)/(1)+(1)/(2)+(1)/(4)`
`(1)/(C_(eq))=(4+2+1)/(4)`
`(1)/(C_(eq))=(7)/(4)`
`C_(eq)=(4)/(7)pF`