Consider connecting three resistors of resistances 37 Ohm, 47 Ohm, and 705 Ohm t

Question

Consider connecting three resistors of resistances 37 Ohm, 47 Ohm, and 705 Ohm together. (a) What is the largest resistance you can obtain in Ohm? R_l = Does connecting the resistors in series or parallel result in a larger resistance? What about conceding some in parallel and tome in series; could that result in a larger resistance than just in parallel or series? When in series, each resistor "blocks the entire current", while in parallel they each block only part of the current. (b) What is the smallest resistance you can obtain in Ohm?

Explanation / Answer

Here ,

largest resitance can be obtained by putting all the resistors in series

a) Rnet = R1 + R2 + R3

Rnet = 37 + 47 + 705

Rnet = 789 Ohm

the largest resistance is 789 Ohm

b)

for the smallest resitance

the resistances in parallel

1/Rp = 1/37 + 1/47 + 1/705

Rp = 20.11 Ohm

the smallest resistance is 20.11 Ohm

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