A wire of circular cross-section carries current density that is not uniform but varies with distance...

 

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A wire of circular cross-section carries current density that is not uniform but varies with distance from the center. this curren expressed as j(r) = A (1-7), where R is the radius of the wire and r varies in the range 0 < r < R. Here, A is a constant with units amperes per square meter, and the radius R = 0.12 mm. A 11% Part (a) Find an expression for the current enclosed in a cylinder with a radius of r < R. i(r) = Y ( ) A d T4 78 5 9 HOME 6 g h I $ 1 2 3 j m n + 0 END P I R VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. A 11% Part (b) If the total current in the wire is I, find an expression for the constant A, in terms of the other variables in the problem. A 11% Part (c) If the total current is 2.5 A, what is the value of the constant A, in units of amperes per square meter? A 11% Part (d) Find an expression for the magnetic field inside the wire, r < R, in terms of the current I. A11% Part (e) Find an expression for the magnetic field outside of the wire. That is, for r > R. A 11% Part (f) For what 7, in meters, is the current enclosed maximum? A 11% Part (g) What is the maximum value of the enclosed current in units of amperes? A 11% Part (h) For what value of r, in meters, is the magnetic field maximized? A 11% Part (i) What is the maximum value of the magnetic field, in tesla? A wire of circular cross-section carries current density that is not uniform but varies with distance from the center. this curren expressed as j(r) = A (1-7), where R is the radius of the wire and r varies in the range 0 < r < R. Here, A is a constant with units amperes per square meter, and the radius R = 0.12 mm. A 11% Part (a) Find an expression for the current enclosed in a cylinder with a radius of r < R. i(r) = Y ( ) A d T4 78 5 9 HOME 6 g h I $ 1 2 3 j m n + 0 END P I R VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. A 11% Part (b) If the total current in the wire is I, find an expression for the constant A, in terms of the other variables in the problem. A 11% Part (c) If the total current is 2.5 A, what is the value of the constant A, in units of amperes per square meter? A 11% Part (d) Find an expression for the magnetic field inside the wire, r < R, in terms of the current I. A11% Part (e) Find an expression for the magnetic field outside of the wire. That is, for r > R. A 11% Part (f) For what 7, in meters, is the current enclosed maximum? A 11% Part (g) What is the maximum value of the enclosed current in units of amperes? A 11% Part (h) For what value of r, in meters, is the magnetic field maximized? A 11% Part (i) What is the maximum value of the magnetic field, in tesla?