Two wires of circular cross section are made of the same metal.Wire 1 has radius r and length L; wire 2 has radius 2r and length 2L. Thepotential difference between the ends of the wire is the same for both wires.For each of the following quantities, find the ratio of its value for wire 2to its value for wire 1: current density in the wire

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Two wires of circular cross section are made of the same metal.
Wire 1 has radius r and length L; wire 2 has radius 2r and length 2L. The
potential difference between the ends of the wire is the same for both wires.
For each of the following quantities, find the ratio of its value for wire 2
to its value for wire 1: current density in the wire

Expert Solution
Step 1

We have Out formula for CUrrent density as 

J = Current Cross Sectional Area  = iA = VAR [ using ohm's law V=iR]=VAAρL       [ Using the formula R=ρLA , where L = length of the wire , A= cross sectional Area]J=VρL---------------------------------(1)

 

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