JEE Main · PhysicsHard
A solenoid of length $L$ and radius $R$ has $n$ turns per unit length. It carries a current $I$. What is the magnetic field $B$ at the center of the solenoid if it is very long ($L >> R$)?
- A.$\frac{\mu_0 n I}{2}$
- B.$\mu_0 n I$
- C.$2\mu_0 n I$
- D.$\frac{\mu_0 n I}{4}$
Show correct answer & step-by-step solution
Correct answer: B — $\mu_0 n I$
Solution
Using Ampere's Law, . For along solenoid, , which simplifies to .
Attempt this question & track your score
Sign up free to answer, get instant scoring, and let SolveGini track which Physics topics you need to revise.
Attempt & Track Free →More Magnetism practice questions
- A particle of charge q moves with velocity v in a uniform magnetic field B. The force acting on the particle is given by
- What is the magnetic field at the center of a circular coil of radius R carrying current I?
- The magnetic susceptibility of a diamagnetic material is always:
- Along straight wire carries a current I. The magnetic field at a distance r from the wire is proportional to:
- The SI unit of magnetic flux is:
- A proton and an alpha particle are accelerated through the same potential difference and enter a uniform magnetic field
- Along straight wire carries a current of 10 A. A point P is at a distance of 5 cm from the wire. What is the magnitude o
- A solenoid of length 0.5 m has 500 turns and carries a current of 2 A. The magnetic field at the center of the solenoid
- A thin circular ring of radius R and mass M carries a charge q uniformly distributed over its circumference. The ring is
- Along straight wire carries a current I. A rectangular loop of sides a and b is placed in the same plane such that the s
- A particle of mass m and charge q is projected with velocity v into a region of uniform magnetic field B directed perpen