1) Five identical resistors, each with resistance R, are combined in parallel. D

Question

1) Five identical resistors, each with resistance R, are combined in parallel. Determine the effective resistance, R5P, of this combination. 2) Five Identical resistors, each with Resistance R, are combined in series. Determine the effective resistance, CRS, of this combination. 3) A ten resistor network is constructed by linking R5P and RSP in parallel. Determine the effective resistance of this network. 4) Another ten resistor network is constricted by linking R5P and R5S in series. Determine the effective resistance of this network. 5) Compute the rate at which the electrical energy is converted to heat when 2 A current flows through each of the resistor networks considered above.

Explanation / Answer

1) in parallel 1/R add
R5P =R/5
2) in series just add
R5S = 5R
3) 1/5R + 5/R = 26/5R
so 5R/26
4) in series just add 5R + R/5 = 26R/5

5) P = I^2 R = 4 R

P5P = 4R/5
P5S = 20 R
P3 = 20R/26
P4 = 26*4R/5

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