Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202228 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
28 July
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Effects of Current

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

As shown in the figure, a metallic rod of linear density 0 . 45kg m...

As shown in the figure, a metallic rod of linear density 0.45kgm−10 . 45kg{m}^{- 1} is lying horizontally on a smooth incline plane which makes an angle of 45 ° with the horizontal. The minimum current flowing in the rod required to keep it stationary, when 0.15T0 . 15T magnetic field is acting on it in the vertical upward direction, will be

(Use g=10ms−2g = 10m{s}^{- 2})

As shown in the figure, a metallic rod of linear density 0 . 45kg m ^ - 1 is lying horizontally on a smooth incline

Options

  1. A30A30A
  2. B15A15A
  3. C10A10A
  4. D3A3A

Correct answer

A. 30A30A

Step-by-step solution

As shown in the figure, a metallic rod of linear density 0 . 45kg m ^ - 1 is lying horizontally on a smooth incline

For the wire to remain stationary, the net force acting on it should be zero.

Balancing the forces along the incline,

mgsin45°=ILBcos45°mgsin45 ° = ILBcos45 °

⇒I=(mL)gB⇒ I = \left(\dfrac{m}{L}\right)\dfrac{g}{B}

⇒I=(0.45)(10)0.15=30A⇒ I = \dfrac{\left(0 . 45\right)\left(10\right)}{0 . 15} = 30A

Practice Magnetic Effects of Current on Quantrex Academy →

More from Magnetic Effects of Current

A hollow, right circular cone of base radius R and height h , with its tip at the origin… JEE Advanced 2026In a vacuum chamber, a particle of charge 1\ and mass 1 mg is projected with a velocity (… JEE Advanced 2026A current carrying circular loop of radius 2 cm with unit normal n = k + i 2 is placed in… JEE Main 2026A 5 mg particle carrying a charge of 5π× 10^ -6 C is moving with velocity of (3 i +2 k )×… JEE Main 2026A current of 30 A each flows in opposite directions in two conducting wires, placed… JEE Main 2026A small cube of side 1 mm is placed at the centre of a circular loop of radius 10 cm… JEE Main 2026The charged particle moving in a uniform magnetic field of (3 i + 2 j ) T has an… JEE Main 2026A circular coil of radius 2 cm and 125 turns carries a current of 1 A. The coil is placed… JEE Main 2026 Full Magnetic Effects of Current list All JEE Main PYQs