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Consider 3 Resistors: 10 k ?, 20 k ?, and 30 k ? . 1) Calculate the total resist

ID: 3895830 • Letter: C

Question

Consider 3 Resistors: 10 k?, 20 k?, and 30 k?.

1) Calculate the total resistance if the resistors are connected in series with each other.

2) Calculate the total resistance if instead the resistors are all connected in parallel with eachother.

3) Let network A consist of the network of the three resistors above when they are in series (as they were in part 1) . Let network B consist of the network of the same three resistors when they were connected in parallel (as they were in part 2).

If each network were in turn connected toa 9V battery, in which case would there be a greater amount of current through the battery: when network A is connected, when network B is connected, or is it the same in both cases? Explain how you can use your results from parts 1 and 2 above to support your answer

Explanation / Answer

If resistances are connected in series R eq = 10+20+30 = 60K ohm


If resistances are connected in parallel 1/Req = 1/10 +1/20 + 1/30 =


Req = 5.45K ohm


for netwrok A I = V/R = 9/60*10^3 = 0.15mA


for network B I = v/R = 9/5.45*10^3 = 1.65mA


so current is more in network B