How many 6 F , 200 ~V condensers are needed to make a condenser of 18 F , 600 ~V ?

Step-by-step solution

In series arrangement potential difference is the sum of the individual potential difference of each capacitor. aligned V &= V ₁+ V ₂+ V ₃+ 600 &= x 200 x &=3 aligned So, there should be 3 capacitors in series to obtain the required potential difference. The equivalent capacitance of the 3 capacitors in series is aligned 1 C _ eq &= 1 6 + 1 6 + 1 6 C _ eq &=2 aligned Now, we require 18 F capacitance, for this we need 9 such combinations in parallel. Hence, 9 3=27