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QJEEM24Phe4c1: JEE Main 2024 Physics - Class 12 JEEM24Phe4c1 Solution: A rigid wire consists of a semicircular portion of radius and…

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=B0k^B=B_0 \hat{k} as shown in figure. The magnetic force on the wire if it has a current ii is:

JEE Main 2024 (Online) 31st January Morning Shift Physics - Magnetic Effect of Current Question 35 English

Multiple Choice Options

  • A iBRj^i B R \hat{j}
  • B −2iBRj^-2 i B R \hat{j}
  • C 2iBRj^2 i B R \hat{j}
  • D −iBRj^-i B R \hat{j}

Step-by-Step Verified Solution

JEE Main 2024 (Online) 31st January Morning Shift Physics - Magnetic Effect of Current Question 35 English Explanation

Note : Direction of magnetic field is in +k^+\hat{k}

amp;F→=iℓ⃗×B→amp;ℓ=2Ramp;F→=−2iRBj^\begin{aligned}& \overrightarrow{\mathrm{F}}=\mathrm{i} \vec{\ell} \times \overrightarrow{\mathrm{B}} \\& \ell=2 \mathrm{R} \\& \overrightarrow{\mathrm{F}}=-2 \mathrm{iRB} \hat{\mathrm{j}}\end{aligned}

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