Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEETPhysicsMagnetic Effects of Current

A steady current I flows through a single-turn circular loop. If the current is kept constant, which of the following correctly describes the shape of the graph showing the variation of the magnitude of the magnetic field ( B ) at the centre of the loop with its radius ( R )?

Options

  1. AA rectangular hyperbola in the first quadrant
  2. BA straight line passing through the origin
  3. CA straight line with a negative slope
  4. DA parabola opening upwards from the origin

Correct answer

A. A rectangular hyperbola in the first quadrant

Step-by-step solution

The magnitude of the magnetic field at the centre of a single-turn circular loop of radius R carrying a steady current I is given by: B = ₀ I 2R Since the current I and the permeability of free space ₀ are constants, the magnetic field B is inversely proportional to the radius R . B 1 R The graph of an inversely proportional relationship between two positive physical quantities ( B and R ) is a rectangular hyperbola in the first quadrant. Answer: A rectangular hyperbola in the first quadrant

Practice Magnetic Effects of Current on Quantrex Academy →

More from Magnetic Effects of Current

The magnitude of the magnetic induction (B) at a point on the axis at a large distance 'r' from the centre of a circular coil of 'n' turns and area 'A' carrying current ' i ' is gi 2026For a circular coil of radius a , at what distance x along its axis the magnetic field is exactly 1 27 of its value at the center? 2026A circular coil having 'n' turns, each of radius 'r' carries a current 'I'. The magnetic field at a distance x = 8 r from its centre along axis of the coil is ( ₀ = permeability of 2026The ratio of cyclotron frequency f to the radius of the path of a charged particle R is q^2 B^2 2 m^2 x . Then the value of x is ( v is velocity of charged particle) 2026In a cyclotron, for the same values of B and R, what is the ratio of the maximum kinetic energies of particles and deuteron? Mass of deuteron =2m_p , charge on deuteron =+e 2026The magnitude of the magnetic field at point O (centre of the arc) with radius R, in the following case is ( ₀ = permeability of free space, I = current and R is the radius of circ 2026Two wires of same material A and B, having lengths l and 2l 3 carry the currents I and 3I 4 respectively. Both the wires (A and B) are bent into a circles (of single turn). If B_A 2026An electron is projected with uniform velocity along the axis of a current carrying long solenoid. Which of the following is true? a. The electron will be accelerated along the axi 2026 Full Magnetic Effects of Current list All NEET PYQs