Question

The figure below represents a section of a circular conductor of nonuniform diameter carrying a current of 5.50 A. The radius of cross-section A, Isr, = 0.450 cm. (a) What is the magnitude of the current density across A,? A/m? The radius ry at Az is larger than the radius r, at A. (b) is the current at A, larger, smaller, or the same? The current is larger The current is smaller • The current is the same (c) is the current density at A, larger, smaller, or the same? The current density is larger. . The current density is smaller The current density is the same.

Answer 1

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Current density - turient Area Area of disc = TR² A = 10.450810-2/2 = 0.6362x100 m2 so umrent density = 5.50 x 104 Alma 0.6362 e = 8.64X104 Alma 1 A2 = 5 Ai TM ² = 5x98,2 M2 = 15 r. M2 = V5x 0.450xi omm 72 = 10.00 mm current at A2= I = Iz = 5.500 Current density at Az = 5.50A = 5.50 x09 Alma £ . cune 5x0.63 6210 A/m² = 1:73x/04 Alma