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Your answers in this question must be rational numbers: if a result is write as the final answer. Let r be a resistor. (i)

  

Your answers in this question must be rational numbers: if a result is write as the final answer. Let r be a resistor. (i) Find the equivalent resistance R: ww 2r Www R W 2 14' (1) (ii) Replacing the upper resistor r by R itslef, find the equivalent resistance R2 of the following combination: T R ww 27 w 2r ww = 2r R ww (2) (iii) Iterating the above process, find R3, R4, and R5. (iv) Compute 1 1 1 1 1 1 1 1 - (3) R5 RA' RA R3' R3 R' R R (v) Find R2023 and discuss lim Rn. (vi) What if we replace resistors r by capacitors c? Discuss C and lim Cn.

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