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JEE Advanced2015PhysicsMagnetic Effects of CurrentActual

Paragraph: In a thin rectangular metallic strip a constant current I flows along the positive x -direction, as shown in the figure. The length, width and thickness of the strip are l, w and d , respectively. A uniform magnetic field B is applied on the strip along the positive y -direction. Due to this, the charge carriers experience a net deflection along the z -direction. This results in accumulation of charge carr

Options

  1. AIf w 1 = w 2 and d 1 = 2 d 2 , then V 2 = 2 V 1
  2. BIf w 1 = w 2 and d 1 = 2 d 2 , then V 2 = V 1
  3. CIf w 1 = 2 w 2 and d 1 = d 2 , then V 2 = 2 V 1
  4. DIf w 1 = 2 w 2 and d 1 = d 2 , then V 2 = V 1

Correct answer

A. If w 1 = w 2 and d 1 = 2 d 2 , then V 2 = 2 V 1

Step-by-step solution

q v d B = q E = q V w ⇒ V = w B × v d = w B I n e w d = B I n e d ∴ V 1 V 2 = d 2 d 1 ∴ if d 1 = 2 d 2 ⇒ V 2 = 2 V 1 & if d 1 = d 2 ⇒ V 1 = V 2

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