Question

(7%) Problem 11: Two parallel wires are separated by a distance R as shown in the diagram. As compared to their separation, the wires are very long, extending well beyond the boundaries of the image. Wire 1 carries current / Wire 2 carries current l in the opposite direction as the first current. Coordinate axes have been included for convenience. L A Grade Summary Deductions 0% Potential 100% 7% Part (a) What is the direction of the magnetic field due to currently at the location of Wire 2? o none of these O into the page (-k) O towards the top of the page (+1) O out of the page (+k) o to the left (-1) towards the bottom of the page (-) o to the right (+1) Submissions Attempts remaining: 6 (16% per attempt) detailed view Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback. 4 7% Part (b) Enter an expression for the magnitude of the magnetic field due to the current 1, at the location of Wire 2. A 7% Part (c) What is the direction of a finite current element 12AL2 of the second wire? 47% Part (d) Enter an expression for the magnitude of the force on a finite current element 12AL2 of Wire 2 due to the current in Wire 1. A 7% Part (e) Enter an expression for the magnitude of the force per unit length on Wire 2 due to the current in Wire 1. A 7% Part (f) What is the direction of the force on Wire 2 due to the current in Wire 1? A 7% Part (g) What is the direction of the magnetic field due to current l, at the location of Wire 1? 47% Part (h) Enter an expression for the magnitude of the magnetic field due to the current l at the location of Wire 1. A 7% Part (i) What is the direction of a finite current element 1 AL of the first wire? 7% Part (j) Enter an expression for the magnitude of the force on a finite current element 1 AL of Wire 1 due to the current in Wire 2. A 7% Part (k) Enter an expression for the magnitude of the force per unit length on Wire 1 due to the current in Wire 2. 17% Part (1) What is the direction of the force on Wire 1 due to the current in Wire 2? HA 7% Part (m) Which is the best description of the direction of the forces between two parallel wires with "opposite currents"? A 7% Part (n) Look carefully at the expressions for the forces on Wire 1 and Wire 2, both magnitude and direction. With hindsight we see that the force on Wire 2 could be obtained from the expression earlier obtained for Wire 1 as a direct application of

Answer 1

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a) Direction of magnetic field is I given by right hand rule (2x8). So magnetic field will be Into the page" or "z-axls". s option (b) is true. And b) Bia Do Huy Moll 2TR c) Direction of current element is in the direction of current itself. So for wire-2 it is along " "-x-axis" And d) F = B, I AL2 Mo I, I₂ ALL 2TR