Part A – Pass Section Problem 1 A straight wire of length L has a current I running through it in the direction +æ, to the right of the page. L +y +x d (a) Draw a sketch of the magnetic field lines produced by the current. (b) Consider a point P that is a distance d from the length of wire, and equidistant from both ends. Der the expression for the magnetic field at the point P as a function of the distance d, explaining the m steps in your own words. Hint: consider first the magnetic field produced by an element of wire. You may find the following relat useful, dx 21 %3D 1 (a² + x²)3/2 ¯ a² Va² + l² (c) Show that when L» d, the magnetic field at point P approaches the field from an infinitely-long curre carrying wire.
Part A – Pass Section Problem 1 A straight wire of length L has a current I running through it in the direction +æ, to the right of the page. L +y +x d (a) Draw a sketch of the magnetic field lines produced by the current. (b) Consider a point P that is a distance d from the length of wire, and equidistant from both ends. Der the expression for the magnetic field at the point P as a function of the distance d, explaining the m steps in your own words. Hint: consider first the magnetic field produced by an element of wire. You may find the following relat useful, dx 21 %3D 1 (a² + x²)3/2 ¯ a² Va² + l² (c) Show that when L» d, the magnetic field at point P approaches the field from an infinitely-long curre carrying wire.
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