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^
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.