Point P is the same distance from each of three long straight current carrying w

Question

Point P is the same distance from each of three long straight current carrying wires, as shown in the sketch. The current ID remains constant, flowing out of the page. Currents IA and IC can be varied. Let B represent the resultant magnetic induction at P. Use the letters, a to h, to designate directions, when answering the following questions. (a) When IA = IC and both flow out of the page then B is directed towards (b) If IA = ID and both flow out of the page and IC = 0, then B is directed towards (c) If IA = IC. = 1/2 ID, with IA flowing out of the page and IC flowing into the page, then B is. directed towards

Explanation / Answer

using right hand rule we determine the direction og B.

case 1 ;- the direction of B due to Ia and Ic cancels thus effect is only due to Id ie in direction of a

CASE2 ;- due to Ia towards c due to Id towards a and thus resultant is along b

case 3 :-due to Ia and Ic B is along c and due to Id along a and its intensity is twice thus making resultant in direction of b

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