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In the figure are shown two long parallel current carrying wires I and II. Find the magnitudes and directions of the magnetic field induction at the point P, Q and R in the plane of paper. |
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Answer» Correct Answer - `2xx10^-5T_|__r` to the plane of paper upwards; `10^-4T_|__r` to the plane of paper downwards; `4*7xx10^-5T_|__r` to the plane of paper upwards Resultant magnetic field induction at P is `B=B_1-B_2` `=(mu_0)/(4pi)(2I_1)/(r_1)-(mu_0)/(4pi)(2I_2)/(r_2)=(mu_0)/(4pi)xx2[I_1/r_1-I_2/r_2]` Here, `I_1=20A, r_1=0*1m`, `I_2=30A`, `r_2=0*30m` `B=10^-7xx2[(20)/(0*1)-(30)/(0*3)]=2xx10^-5T` It will be acting perpendicular to the plane of paper upwards. Resultant magntic field induction at Q is `B=(mu_0)/(4pi)xx2[(20)/(0*1)+(30)/(0*1)]` `=10^-7xx2xx500=10^-4T` It will be acting perpendicular to the plane of the paper downwards. Resultant magntic field induction at R is `B=(mu_0)/(4pi)xx2[(30)/(0*1)-(20)/(0*3)]=4*7xx10^-5T` It will be acting perpendicular to the plane of the paper upwards. |
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