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A pair of stationary and infinitely long...

A pair of stationary and infinitely long bent wires is placed in the `X-Y` plane as shown in figure.The wires carry currents of `10A` each as shown.The segments `L` and `M` are along the `x`-axis.The segments `P` and `Q` are pallel to the `Y`-axis such that `OS=OR=0.02 m`.Find the magnitude and direction of the magnetic induction at the origin `O`.

Text Solution

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Since point 0 is along the length of segments L and M the field at O due to these two segments will be zero
`therefore` Magnetic field at O is due to QS and RP.
`B_(SQ) = (mu_0)/(4pi) xx (I)/(OS) odot = 10^(-7) xx (10)/(0.02) odot`
`B_(RP) = (mu_0)/(4pi)xx(I)/(OR) odot = 10^(-7) xx (10)/(0.02) odot`
`therefore B_0 = B_(SQ) + B_(RP) = 10^(-7) xx (10)/(0.02) xx 2 odot`
`10^(-4)T odot`
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