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Two long straight currents carrying wires having currents I and 2I lie along y-and z-axis, respectively, as shown in Fig. Find `vecB` at a point P(x,0).

Text Solution

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Magnetic field at P due to current along y-axis:
`vecB_1=(mu_0)/(2pi) i/x (-hatk)`


Due to current along z-axis: `vecB_2=(mu_0)/(2pi) (2i)/x (hatj)`
Net field at P: `vecB=vecB_1+vecB_2(mu_0i)/(2pi)[2hatj-hatk]`
`B=sqrt(B_1^2+B_2^2)=(sqrt5mu_0i)/(2pix)`
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