A rectangular loop with a sliding connector of length \( l=1.0 \mat...

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A rectangular loop with a sliding connector of length \( l=1.0 \mathrm{~m} \) is situated in a uniform magnetic field \( B=2 \mathrm{~T} \) perpendicular to the plane of loop. Resistance of connector is math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymi mathvariant=normalr/mimo=/momn2/mnmo /momi mathvariant=normalΩ/mi/math. Two resistances of math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymn6/mnmo /momi mathvariant=normalΩ/mi/math and math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymn3/mnmo /momi mathvariant=normalΩ/mi/math are connected as shown in Figure. The external force required to keep the connector moving with a constant velocity \( v=2 \mathrm{~ms}^{-1} \) is
img style=display: block; margin-left: auto; margin-right: auto; src=https://penpencil-static-content.s3.ap-south-1.amazonaws.com/5eb393ee95fab7468a79d189/fhq6nclfi3mq871ib1e2a306p.png width=347 height=131 /
 
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