Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Magnetic Properties of Matter

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Magnetic Properties of Matter

A long solenoid carries a current of 2.0 A , and the magnetic...

A long solenoid carries a current of 2.0 A2.0 \text{ A}, and the magnetic intensity HH at its centre is determined to be 1500 A m−11500 \text{ A m}^{-1}. Calculate the number of turns per centimetre of the solenoid.

Options

  1. A750750
  2. B1515
  3. C7.57.5
  4. D7575

Correct answer

C. 7.57.5

Step-by-step solution

The magnetic intensity HH at the centre of a long solenoid is given by:

H=nIH = nI

where nn is the number of turns per unit length and II is the current.

Given H=1500 A m−1H = 1500 \text{ A m}^{-1} and I=2.0 AI = 2.0 \text{ A}.

Substituting the values:

1500=n×2.01500 = n \times 2.0

n=750 turns m−1n = 750 \text{ turns m}^{-1}

To find the number of turns per centimetre, we divide by 100100:

n=750100=7.5 turns cm−1n = \dfrac{750}{100} = 7.5 \text{ turns cm}^{-1}
Practice Magnetic Properties of Matter on Quantrex Academy →

More from Magnetic Properties of Matter

A solenoid has a core made of material with relative permeability 400 . The magnetic… JEE Main 2026Two identical small bar magnets each of dipole moment 3 5 J/T are placed at a center to… JEE Main 2026Given below are two statements: one is labelled as Assertion (A) and the other is… JEE Main 2026Given below are two statements : one is labelled as Assertion (A) and the other is… JEE Main 2025The percentage increase in magnetic field (B) when space within a current carrying… JEE Main 2025A solenoid having area A and length ' l ' is filled with a material having relative… JEE Main 2025The relationship between the magnetic susceptibility (χ) and the magnetic permeability… JEE Main 2025A bar magnet has total length 2 l=20 units and the field point P is at a distance d=10… JEE Main 2025 Full Magnetic Properties of Matter list All Concepts Of Physics MCQ Edition [Volume 2] PYQs