The position of point from wire b where net magnetic field is zero due to following current distribution

Question

Arun · Answer

magnetic field is is directly proportional to I/r THen in first question 5I/(6-x) = 2I/x 5x = 12 – 2x x = 12/7 cm. Regards Arun

Khimraj · Answer

Suppose P is the point between the conductors where net magnetic field is zero. So at P |Magnetic field due to conductor 1| = |Magnetic field due to conductor 2| μ04π2(5i)i=μ04π2(2i)(6−x)⇒5x=96−x⇒x=307cmμ04π2(5i)i=μ04π2(2i)(6−x)⇒5x=96−x⇒x=30/7cm Hence position from B=6−307=12/7cm

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The position of point from wire b where net magnetic field is zero due to following current distribution

The position of point from wire b where net magnetic field is zero due to following current distribution

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