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A long rigid wire lies along X-axis and carries a current of 10 Amp in a positive X-direction. Round the wire external magnetic field B=i+3x^2j with x in meter and B in tesla. The segment of the wire between x=1 and x=4 is?
∫dF = ∫i(dl×B)dl=dx i^ B= i^ + 2x^2 j^ii= 10Aintegerating x=1 to x=4,10(2x^2 dx) =((20x^3)/3)1 to 4we get F=420( D) Thankyouu!
The magnetic force (in SI units) on the segment of the wire between x = 1 m and x = 4 m is given by 10(2x^2 dx) =((20x3)/3)1 to 4 F=420
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