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the instructions for and electric hedge clipper suggest that a 20-gauge cord wit

ID: 2172912 • Letter: T

Question

the instructions for and electric hedge clipper suggest that a 20-gauge cord with a cross-sectional area of 5.2*10^-7 m^2 extension cord can be used for distances up to 35m, but a thicker 16-gauge with a cross sectional area of 13*10^-7 m^2 cord should be used for longer distances to keep the resistance of the wire as small as possible.

1. Determine the resistance of 35m of 20-gauge copper wire
2. Determine the resistance of the same 20-gauge copper wire but change length to 70m. How do the teo resistances compare?
3. Determine the resistance of 16-gauge copper wire with a length of 35m.
4. Determine the resistance of 16-gauge copper wire with a length of 35m, but with an area of 5.2*10^-7 m^2. How do the resistances compare?

Explanation / Answer

(i)1.16 ohms (ii).resistance is directly proportional to length. so when length changes to 70 m,resistance also gets doubled. resistance=2.32 ohms (iii).0.464 ohms (iv).resistance is inversely proportional to area.. resistance=1.16 ohms