Let it go

A rectangular loop with a sliding connector of length "1 m" is situated in a uniform magnetic field of "2 T" perpendicular to the plane of loop. Resistance of connector is 2 \(\Omega\). Two resistances of 6 \(\Omega\) and 3 \(\Omega\) are connected as shown in the figure. The external force required to keep the connector moving with a constant velocity \(2 \frac { m }{ s } \) is \(\text{___________}\).

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