Which of the following combination of 7 identical capacitors each of 2 F gives a capacitance of 10 11 F ?

Step-by-step solution

For n identical capacitors connected in series, the equivalent capacitance is, C _ s = C n Similarly, for m identical capacitors connected parallel to each other, the equivalent capacitance is, C _ p = mC Assuming the two combinations are connected in series, the net capacitance, aligned 1 C _ net & = 1 mC + n C = 11 10 F ( C _ net = 10 11 F ) for C & =2 F , 11 2 10 & = 1 ~m + n aligned 1 ~m + n = 11 5 ...(i) Substituting the values for m and n in equation (i) from each option, the correct answer can be found to be