The effective capacitances of two capacitors are 3 μ F and 16 μ F, when they are connected in series and parallel respectively. The capacitance of two capacitors are:

Question

The effective capacitances of two capacitors are 3 μ F and 16 μ F, when they are connected in series and parallel respectively. The capacitance of two capacitors are: (A) 10 μ F , 6 μ F (B) 8 μ F , 8 μ F (C) 12 μ F , 4 μ F (D) 1.2 μ F , 1.8 μ F

Tardigrade Admin · Accepted Answer

( C 1 C 2/ C 1+ C 2)=3 C 1+ C 2=16 C 1 C 2=48 C 1=12 μ F C 2=4 μ F

Q. The effective capacitances of two capacitors are $3 μ F$ and $16 μ F$ , when they are connected in series and parallel respectively. The capacitance of two capacitors are:

$10 μ F, 6 μ F$

$8 μ F, 8 μ F$

$12 μ F, 4 μ F$

$1.2 μ F, 1.8 μ F$

$\frac{C _{1} C _{2}}{C _{1} + C _{2}} = 3$
$C_{1} + C_{2} = 16$
$C_{1} C_{2} = 48$
$C_{1} = 12 μ F$
$C_{2} = 4 μ F$

Q. The effective capacitances of two capacitors are 3μF and 16μF, when they are connected in series and parallel respectively. The capacitance of two capacitors are:

10μF,6μF

8μF,8μF

12μF,4μF

1.2μF,1.8μF