2. A system of infinitely many resistors is as shown below: www kth row o 2k-1 resistors www Each resistor has a resistance of R, and each row has twice as many resistors as the previous one. (a) How much power would be generated by this combination if the kth row had a potential source of V connected across it? (b) There is a current I flowing through the kth row. What is the potential difference across a single resistor in the 7th row? (c) Calculate the effective resistance across the two ends of the first resistor from the left in the kth row.

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2. A system of infinitely many resistors is as shown below:
ww
kth rowo W
ww
wwwm
2k-1 resistors
M
Each resistor has a resistance of R, and each row has twice as many resistors as the previous one.
(a) How much power would be generated by this combination if the kth row had a
potential source of V connected across it?
(b) There is a current I flowing through the kth row. What is the potential difference
across a single resistor in the Ith row?
(c) Calculate the effective resistance across the two ends of the first resistor from
the left in the kth row.
Transcribed Image Text:2. A system of infinitely many resistors is as shown below: ww kth rowo W ww wwwm 2k-1 resistors M Each resistor has a resistance of R, and each row has twice as many resistors as the previous one. (a) How much power would be generated by this combination if the kth row had a potential source of V connected across it? (b) There is a current I flowing through the kth row. What is the potential difference across a single resistor in the Ith row? (c) Calculate the effective resistance across the two ends of the first resistor from the left in the kth row.
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