Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main20231 Feb 2023Evening ShiftPhysicsMagnetic Effects of CurrentActual

As shown in the figure, a long straight conductor with semicircular arc of radius π 10 m is carrying current I = 3 A . The magnitude of the magnetic field. at the center O of the arc is: (The permeability of the vacuum = 4 π × 10 - 7 NA - 2 )

Options

  1. A6   μT
  2. B1   μT
  3. C4   μT
  4. D3   μT

Correct answer

D. 3   μT

Step-by-step solution

The formula to calculate the magnetic field B C produced at the centre of a circular current carrying conductor is given by B C =   μ o I 4 π r θ . . . . . . . . . . . . . . . . . . . . . . . ( 1 ) where, μ 0 is the permeability of free space, I is the current through the conductor, r is the radius of the circular conductor and θ is the angle subtended by the arc at the centre. From the given figure, it is clear that the arc of the conductor makes an angle π at its centre. Substit

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 is rotating about the Z -axis with an angular velocity , as shown in the figure. The cone c 2026In a vacuum chamber, a particle of charge 1 C and mass 1 mg is projected with a velocity ( i + 2 j ) ms ⁻¹ from the XZ plane at time t = 0 in an electric field of 1 i Vm ⁻¹ . At t 2026A current carrying circular loop of radius 2 cm with unit normal n = k + i 2 is placed in a magnetic field, B = B₀(3 i +2 k ) . If B₀ = 4 10⁻³ T and current I=100 2 A, the torque e 2026A 5 mg particle carrying a charge of 5 10⁻⁶ C is moving with velocity of (3 i +2 k ) 10⁻² m/s in a region having magnetic field B = 0.1 k Wb/m ^2 . It moves a distance of meter alo 2026A current of 30 A each flows in opposite directions in two conducting wires, placed parallel to each other at a distance of 8 cm. The magnetic field at the mid point between the tw 2026A small cube of side 1 mm is placed at the centre of a circular loop of radius 10 cm carrying a current of 2 A. The magnetic energy stored inside the cube is 10⁻¹⁴ J. The value of 2026The charged particle moving in a uniform magnetic field of (3 i + 2 j ) T has an acceleration (4 i - x 2 j ) m/s ^2 . The value of x is __________. 2026A circular coil of radius 2 cm and 125 turns carries a current of 1 A. The coil is placed in a uniform magnetic field of magnitude 0.4 T. The axis of the coil makes an angle of 30° 2026 Full Magnetic Effects of Current list All JEE Main PYQs