Seven capacitors, each of capacitance 2 μ F, are to be connected in a configuration to obtain an effective capacitance of ((6/13))μ F. Which of the combinations, shown in figures below, will achieve the desired value ?

Question

Seven capacitors, each of capacitance 2 μ F, are to be connected in a configuration to obtain an effective capacitance of ((6/13))μ F. Which of the combinations, shown in figures below, will achieve the desired value ? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Ceq = (6/13) μ F Therefore three capacitors most be in parallel to get 6 in (1/Ceq) = (1/3C) + (1/C) + (1/C)+(1/C) + (1/C) Ceq = (3C/13) = (6/13) μ F

Q. Seven capacitors, each of capacitance $2 μ F$ , are to be connected in a configuration to obtain an effective capacitance of $(\frac{6}{13}) μ F$ . Which of the combinations, shown in figures below, will achieve the desired value ?

$C_{e q} = \frac{6}{13} μ F$
Therefore three capacitors most be in parallel to get $6$ in
$\frac{1}{C _{e q}} = \frac{1}{3 C} + \frac{1}{C} + \frac{1}{C} + \frac{1}{C} + \frac{1}{C}$
$C_{e q} = \frac{3 C}{13} = \frac{6}{13} μ F$

Q. Seven capacitors, each of capacitance 2μF, are to be connected in a configuration to obtain an effective capacitance of (136​)μF. Which of the combinations, shown in figures below, will achieve the desired value ?

Ceq​=136​μF Therefore three capacitors most be in parallel to get 6 in Ceq​1​=3C1​+C1​+C1​+C1​+C1​ Ceq​=133C​=136​μF

Q. Seven capacitors, each of capacitance $2 μ F$ , are to be connected in a configuration to obtain an effective capacitance of $(\frac{6}{13}) μ F$ . Which of the combinations, shown in figures below, will achieve the desired value ?

$C_{e q} = \frac{6}{13} μ F$
Therefore three capacitors most be in parallel to get $6$ in
$\frac{1}{C _{e q}} = \frac{1}{3 C} + \frac{1}{C} + \frac{1}{C} + \frac{1}{C} + \frac{1}{C}$
$C_{e q} = \frac{3 C}{13} = \frac{6}{13} μ F$