A rectangular loop with a sliding connector of length \( 10 \mathrm...

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A rectangular loop with a sliding connector of length \( 10 \mathrm{~cm} \) is situated in a uniform magnetic field perpendicular to plane of loop. The magnetic induction is \( 0.1 \mathrm{~T} \) and resistance of connector is math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymn1/mnmo /momi mathvariant=normalΩ/mi/math. The sides \( \mathrm{AB} \) and \( \mathrm{CD} \) have resistances math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymn2/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 respectively. Find the current in the connector during its motion with constant velocity \( 1 \mathrm{~m} / \mathrm{s} \):
img style=display: block; margin-left: auto; margin-right: auto; src=https://penpencil-static-content.s3.ap-south-1.amazonaws.com/5eb393ee95fab7468a79d189/h5zw99t0mq513d3n3c3oq8h9w.png width=334 height=139 /
 
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