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In the figure shown W1 represent the cross section of an infinitely long wire carrying current I1 into the plane of the fig. AB is a line of length L and the wire W1 is symmetrically located with respect to the line. The line integral int_(A)^(B) vec(B).vec(d)l. d l along the line from A to B is equal to – a_(0) where a_(0) is a positive number. Another long wire W2 is placed symmetrically with respect to AB (see fig) and the value of int_(A)^(B) vec(B).vec(d)l becomes zero. Consider a line DC to the right of W2. The line is parallel to AB and has same length. The two wires fall on perpendicular bisector of both lines. If int_C^D vec(B).vec(d)=2a_(0) with both wires W1 and W2 present, calculate the ratio of current I_(2) /I_(1) in the two wires. |
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