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JEE Main 202228 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
28 July
Shift
Evening Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2022 · 28 July · Evening Shift · Physics · Magnetic Effects of Current

A triangular shaped wire carrying 10A current is placed in a...

A triangular shaped wire carrying 10A10A current is placed in a uniform magnetic field of 0.5T0 . 5T, as shown in figure. The magnetic force on segment CDCD is (Given BC=CD=BD=5cmBC = CD = BD = 5cm).

A triangular shaped wire carrying 10A current is placed in a uniform magnetic field of 0 . 5T , as shown in figure. The

Options

  1. A0.126N0 . 126N
  2. B0.312N0 . 312N
  3. C0.216N0 . 216N
  4. D0.245N0 . 245N

Correct answer

C. 0.216N0 . 216N

Step-by-step solution

Force due to magnetic field on a current carrying conductor is given by, F→=il→×B→\overset{\to}{F} = i\overset{\to}{l} \times \overset{\to}{B}.

The angle between the magnetic field and the direction of the current in the wire CDCD is 60°60 °. Therefore,

F=ilBsin60°⇒F=10×0.05×0.5×32⇒F=0.216NF = ilBsin60 ° ⇒ F = 10 \times 0 . 05 \times 0 . 5 \times \dfrac{\sqrt{3}}{2} ⇒ F = 0 . 216N

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