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Q.

Equal currents i=1 A  are flowing through the wires parallel to  y-axis located at  x=+1 m,x=+2 m, x=+4 m  and so on…,etc. but in alternate opposite directions as shown in figure. The magnetic field(in tesla) at origin would be x×10−7k^  , then the find the value of  x.

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answer is 0001.33.

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Detailed Solution

Fields of wires at x=1, 4, 16 are in +z direction whereas fields of wires at x= 2, 8, 32 are in - z direction. B→=μ0i2π11+14+116+....k^−12+18+....k^ =μ0i2π11−14k^−1211−14k^ =23μ0i2πk^=23×2×10−7×1k^=1.33×10−7k^
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Equal currents i=1 A  are flowing through the wires parallel to  y-axis located at  x=+1 m,x=+2 m, x=+4 m  and so on…,etc. but in alternate opposite directions as shown in figure. The magnetic field(in tesla) at origin would be x×10−7k^  , then the find the value of  x.