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JEE MAIN - Physics (2023 - 11th April Evening Shift - No. 23)

A metallic cube of side $$15 \mathrm{~cm}$$ moving along $$y$$-axis at a uniform velocity of $$2 \mathrm{~ms}^{-1}$$. In a region of uniform magnetic field of magnitude $$0.5 \mathrm{~T}$$ directed along $$z$$-axis. In equilibrium the potential difference between the faces of higher and lower potential developed because of the motion through the field will be _________ mV.

JEE Main 2023 (Online) 11th April Evening Shift Physics - Electromagnetic Induction Question 34 English

คำตอบ
150

คำอธิบาย

$$ \begin{aligned} & q E=e V B \\\\ & E=V B \end{aligned} $$

$$ \begin{aligned} \Delta V & =(E . d) \\\\ & =(V B) \times 0.15 \\\\ & =2 \times \frac{1}{2} \times 0.15 \mathrm{~V} \\\\ & =0.15 \mathrm{~V}=150 \mathrm{mV} \end{aligned} $$

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