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Please, solve 2nd part of this question
Asked by archanajain7219 | 04 Jun, 2022, 11:31: PM

The given infinite network of capacitors is given in figure 1.

To get the equivalent capacitance across A1 and B1 Let us divide the network left of dashed line P and Q .

Infinite network of capacitors left of dashed line P and Q is given in figure 2.

Let Ceq be the capacitance of this infinite network.

In figure 2 , if we divide the network of capacitors at dahed line R and S ,
then right side part after dashed line R and S also a similar infinite network of capacitors that also Ceq .

This is because of infinite connections of capacitors .

Hence in figure 3 , part of network right side of dashed line RS is simply substituted as Ceq

In figure 3, series combination of 6C and Ceq is in parallel to C .

Hence we get

From above expression we get following quadratic equation

Acceptable root of above quadratic equation is , Ceq = 3 C

Hence equivalent capacitance across A1 and B1 is 3C
Answered by Thiyagarajan K | 05 Jun, 2022, 12:40: AM
JEE main - Physics
Asked by archanajain7219 | 04 Jun, 2022, 11:31: PM