(Solved):   One long wire lies along an \( x \) axis and carries a current of \( 42 \mathrm{~A} \) in ...

 

One long wire lies along an \( x \) axis and carries a current of \( 42 \mathrm{~A} \) in the positive \( x \) direction. A second long wire is perpendicular to the \( x y \) plane, passes through the point \( (0,4.5 \mathrm{~m}, 0) \), and carries a current of \( 67 \mathrm{~A} \) in the positive \( z \) direction. What is the magnitude of the resulting magnetic field at the point \( (0,1.1 \mathrm{~m}, 0) \) ? Number Units The figure shows wire 1 in cross section; the wire is long and straight, carries a current of \( 4.29 \mathrm{~mA} \) out of the page, and is at distance \( d_{1} \) - \( 2.49 \mathrm{~cm} \) from a surface. Wire 2 , which is parallel to wire 1 and also long, is at horizontal distance \( d_{2}=5.15 \mathrm{~cm} \) from wire 1 and carries a current of \( 7.08 \mathrm{~mA} \) into the page. What is the \( x \) component of the magnetic force per unit length on wire 2 due to wire 1 ? Number Units