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JEE Main 202528 JanuaryEvening Shift
Exam
JEE Main
Year
2025
Date
28 January
Shift
Evening Shift
Subject
Physics
Chapter
Electromagnetic Induction

JEE Main 2025 · 28 January · Evening Shift · Physics · Electromagnetic Induction

A conducting bar moves on two conducting rails as shown in the...

A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field B exists into the
A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field B exists into the page. The bar starts to move from the vertex at time t=0t=0 with a constant velocity. If the induced EMF is E∝tn\mathrm{E} \propto \mathrm{t}^{\mathrm{n}}, then value of n is _.

Correct answer

1

Step-by-step solution

As the bar moves without change in orientation, the length of bar will be proportional to its distance from the vertex. i.e. I=c(vt)I=c(v t) induced emf E=B/v=cBv2t\begin{aligned} & \text{ induced emf } E=B / v \\ & =c B v^2 t \end{aligned}⇒n=1\Rightarrow n=1
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