KVPY 2020-21 SB SX Exam Previous Papers

Question : 92 of 120

Marks: +1, -0

Suppose a long rectangular loop o width

w

is moving along the

x

-direction with its left arm in magnetic field perpendicular to the plane of the loop (see figure). The resistance of the loop is zero and it has an inductance

L

. At time,

{t}=

0, its left arm passes the origin,

{O}

. .

If for t ≥ 0, the current in the loop is I and the distance of its left arm from the origin is x, then I versus x garph will be

Validate

Solution:

{VB} l-{L} {{di}}/{{dt}}=0

{VB} l={L} {{di}}/{{dt}}

\⇒{{di}}/{{dt}}={{VB} l}/{{L}}

=+{ve}

slope

{x}={ut} \⇒{{dx}}/{{dt}}={V}

{{di}}/{{dx}}={{B} l}/{{L}}=+{ve}

slope

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