A conducting wire bent into the shape of the parabola y² = 2x carries a current i = 2 A, from point B(2,-2) to point A(2,2) (coordinates in metres), as shown in the figure. This wire lies in a uniform magnetic field B = -4k̂ tesla (field is uniform everywhere, directed into the page). What is the magnetic force on the wire?

PhysicsEasyMiddle Stage (6–8)

A conducting wire bent into the shape of the parabola $y^2 = 2x$ carries a current $i = 2\,A$ , from point $B(2,-2)$ to point $A(2,2)$ (coordinates in metres), as shown in the figure. This wire lies in a uniform magnetic field $\vec{B} = -4\hat{k}$ tesla (field is uniform everywhere, directed into the page). What is the magnetic force on the wire?

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