A cube $ABCDEFGH$ has edges $10\ \text{cm}$ long. A stiff wire runs along three of its edges, from the corner $A$ to the opposite corner $G$: first along $AB$, then along $BC$, then up along $CG$, as in the figure. The three edges are at right angles to each other. The wire carries a current of $4.0\ \text{A}$ from $A$ to $G$, and the leads to $A$ and $G$ are far away and lie along the field, so they feel no force. A uniform magnetic field of $0.50\ \text{T}$ acts everywhere, parallel to the edge $CG$. What is the size of the total magnetic force on the wire $ABCG$?

Fig. 1: A cube ABCDEFGH drawn in perspective with edges 10 cm long; ABCD is the bottom face and E, F, G, H are above A, B, C, D. A thick wire runs from A along AB, then along BC, then up along CG to G, carrying 4.0 A. Vertical arrows beside the cube show a uniform magnetic field of 0.50 T, parallel to CG. Hidden edges are dashed.