Electric times!

A : A: The equivalent capacitance between the terminals A A and B B is x 10 \frac{x}{10} A ϵ d \frac{A*\epsilon}{d} .


B : B: Figure shows a system of three concentric metal shells A , B A,B and C C with radii a , 2 a a,2a and 3 a 3a respectively.Shell B B is earthed and shell C C is given a charge Q Q .Now if shell C C is connected to shell A A ,then the final charge on the shell B B is Q y 11 \frac{-Q*y}{11}

C : C: Four infinite ladder network containing identical resistances of R R ohm each,are combined as shown in the figure.The equivalent resistances between A A and B B is R A B R_{AB} and between A A and C C is R A C R_{AC} .Let R A B R A C = z \frac{R_{AB}}{R_{AC}}=z .

Find x + y + z x+y+z


The answer is 21.75.

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1 solution

Rajdeep Brahma
Jul 3, 2018

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