The figure below represents a section of a circular conductor of nonuniform diam

Question

The figure below represents a section of a circular conductor of nonuniform diameter carrying a current of I = 4.00 A. The radius of cross-section A1 is r1 = 0.360 cm. What is the magnitude of the current density across A1? A/m2 The radius r2 at A2 is larger than the radius r1 at A1. Is the current at A2 larger, smaller, or the same? The current is larger. The current is smaller. The current is the same. Is the current density at A2 larger, smaller, or the same? The current density is larger. The current density is smaller. The current density is the same. Assume A2 = 2A1. Specify the radius at A2. Specify the current at A2. Specify the current density at A2.

Explanation / Answer

a)current density=9.8*10^4 A/m^2 b)the current is same (irrespective of radius) c)the current density is smaller(current density is inversely proportional to square of radius) d)radius of A2=0.50912 cm e)current=4A f)current density=9.8*10^4/2=4.9*10^4 A/m^2

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