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JEE Main 202431 JanuaryMorning Shift
Exam
JEE Main
Year
2024
Date
31 January
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2024 · 31 January · Morning Shift · Physics · Magnetic Effects of Current

A rigid wire consists of a semicircular portion of radius R and two...

A rigid wire consists of a semicircular portion of radius RR and two straight sections. The wire is partially immerged in a perpendicular magnetic field B = {B}_{0}\overset{^}{j} as shown in figure. The magnetic force on the wire if it has a current ii is :

A rigid wire consists of a semicircular portion of radius R and two straight sections. The wire is partially immerged

Options

  1. A- iBR\overset{^}{j}
  2. B2iBR\overset{^}{j}
  3. CiBR\overset{^}{j}
  4. D- 2iBR\overset{^}{j}

Correct answer

D. - 2iBR\overset{^}{j}

Step-by-step solution

A rigid wire consists of a semicircular portion of radius R and two straight sections. The wire is partially immerged

Direction of magnetic field is in + \overset{^}{k}

Force acting on wire is given by, F→=i(l→×B→)\overset{\to}{F} = i\left(\overset{\to}{l} \times \overset{\to}{B}\right)

As, l=2Rl = 2R, we get

⇒ \overset{\to}{F} = - 2iRB\overset{^}{j}

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