A nichrome wire has a resistance of 5 ohm. Find the resistance of another
nichrome wire whose length is four
times and the area of cross-section is
three times of the first wire.

R = 6.67 Ohm's

Explanation:

Resistance is a property of a material that measures the opposition to the flow of current through the material. It is measured in Ohm's.

              R = (ρl) ÷ A

where; R is the resistance of the material, A is its cross sectional area, l is its length and ρ is its resistivity.

For the first nichrome wire, resistance is 5 Ohm's.

i.e            R = (ρl) ÷ A = 5 Ohm's

For the second nichrome wire, length = 4l, and area of cross section = 3A. The resistance of the second wire can be determined by;

R = (4ρl) ÷ 3A

   = {(ρl) ÷ A}

   =   × 5

R = 6.67 Ohm's

Resistance of the second nichrome wire is  6.67 Ohm's.

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