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worty [1.4K]
1 year ago
13

A certain wire has a resistance R. What is the resistance of asecond wire, made of the same material, that is half as long and h

ashalf the diameter?
Physics
1 answer:
Gekata [30.6K]1 year ago
4 0

Given:

<em>Resistance = R </em>

<em>Lenght of second wire (L2)= half of the first wire's lenght (L1) = L1/2</em>

<em>Diameter of the second wire (D2)= Half of the first wire's diameter(D1) = D2/2</em>

Apply:

R=\frac{\rho L}{A}

Where:

R= resistance

ρ= resitivity

L= lenght

A = cross sectional area

Replacing:

R = ρL2/A2

R= ρ (L1/2)/ (πd2^2 /4 )

R= 2ρL / π (d/2)^2

R= 2ρL / [πd^2/4]

R=2 ( 4ρL/πd^2)

R= 2R

Answer = 2R

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