Question

Technician A says that a wire of double the length has twice the resistance. Technician B...

Technician A says that a wire of double the length has twice the resistance. Technician B says that a wire that is too small for a circuit can cause excessive resistance. Who is correct?

Homework Answers

Answer #1

Resistance is dependent upon a lot of factors namely

The radius of the wire,

area of cross-section

length of the wire,

resistivity,

temperature

Now when we bring length and radius or area of cross-section the following formula can be used

R =ρ ( l/A )

where,

R = resistance of the wire

ρ = coefficient of resistivity

l = length of the wire

A= area of cross-section

In general, it is important to understand and realize that

  • if you double the length of a wire, you will double the resistance of the wire. so here technician A is correct
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