There are two identical cylindrical conductors each with a resitance of 2 ohm. w

Question

There are two identical cylindrical conductors each with a resitance of 2 ohm. what is the correct ranking of the total resistance of the three scenarios described below and illustrated in the picture?

4. There are two identical cylindrical conductors each with a resistance of 2 2. What is the correct ranking of the total resistance of the three scenarios described below and illustrated in the pictures? i. The cylinders are connected end-to-end ii. The cylinders are stacked on top of each other ii. The cylinders are cut in half and then the halves are stacked on top of each other e None of the above

Explanation / Answer

1) they are in series so in series connection

Rtot = R1+R2

Rtot = 2+2 = 4 ohm

2) in paralle combination 1/R = 1/R1+1/R2

R = R1R2/R1+R2 = 2*2/2+2 = 1 ohm

3) if we cur into half then resitance becomes R = rho*(l/2)/A

that is it becomes half

1/R = 1/R1+1/R2+1/R3+1/R4

1/R = 4/1/2

R = 1/8 ohm

i>2>3

option 1 is correct

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