Magnetic Field Due to a Current Carrying Solenoid

Using Ampere’s circuital law,obtain an expression for the magnetic field along the axis of a current carrying solenoid of length l and having N number of turns.

A short solenoid (length $l$ and radius $r$ with $n$ turns per unit length) lies well inside and on the axis of a very long, coaxial solenoid (length $L$, radius $R$ and $N$ turns per unit length, with $R>r$). Current $I$ follows in the short solenoid. Choose the correct statement.

An infinitely long solenoid of radius a $=\frac{5}{\pi }\mathrm{cm}$ and $10 \mathrm{turns} {\mathrm{cm}}^{-1}$ is placed such that its axis of symmetry lies along the $X$-axis. A current $I$ is flowing through the solenoid ( $X$ means that $I$ is flowing into and $·$ means it is flowing out of the page). A straight infinite wire with current $25 I$ is placed parallel to the $X-$axis at a distance $\frac{a}{2}$ away from the center. Which of the following gives the direction of net magnetic field at the origin?

A cylindrical current carrying coil is called a _____.

What is the difference between a current carrying solenoid and a bar magnet?

A wire of fixed length initially forms a solenoid of length $l$ and radius $r$ of self-inductance $L$. When the same wire is wound differently it forms a solenoid of length $\frac{l}{2}$ and radius $\frac{r}{2}$. Calculate the self inductance of the new coil.

A coil having $3n$ turns and $r$ radius is made with the same length of copper wire as a second coil of $n$ turns and $3r$ radius. Calculate the ratio of the self-inductance of the two coils.

A long solenoid has six layers of windings of $450$ turns each. If diameter is $2.2 \mathrm{cm}$, length is $90 \mathrm{cm}$ and current carried is $6 \mathrm{A}$, then calculate the magnitude of magnetic field inside the solenoid.

Two current-carrying solenoids exhibit: 

Mark the polarity on the solenoid given below. What will happen if we insert a soft iron into it?

A long solenoid is fabricated to closely winding wire of radius $0.5 \mathrm{m}\mathrm{m}$ over a cylindrical frame, so that the successive turns nearly touch each other. The magnetic field at the centre of solenoid, if it carries a current of $5 \mathrm{A}$ is.

The turns of a solenoid, designed to provide a given magnetic flux density along its axis, are wound to fill the space between two concentric cylinders of fixed radii. How should the diameter $d$ of the wire used be chosen so as to minimize the heat dissipated in the windings?

An iron ring of relative permeability has windings of insulated copper wire of n turns per metre. When the current in the windings is I, find the expression for the magnetic field in the ring. (b)Identify the type of magnetic material. Draw the modification of the field pattern on keeping a piece of this material in a uniform magnetic field.

If B and E denote induction of magnetic field and energy density at the mid-point of a long solenoid carrying a current I, then which of the following graph is correct-

Field inside a solenoid is:

Field inside a solenoid is -

If $\mathrm{B}$ and $\mathrm{E}$ denote induction of magnetic field and energy density at the midpoint of a long solenoid carrying a current $\mathrm{I}$, then which of the following graphs is/are correct ?

A long solenoid has a radius $a$ and number of turns per unit length is $n$. If it carries a current $i$, then the magnetic field on its axis is directly proportional to

Statement 1: If the current in a solenoid is reversed in direction, while keeping the same magnitude, the magnetic field energy stored in the solenoid decreases.

Statement 2: Magnetic field energy density is proportional to the square of current.

In a current carrying long solenoid, the field produced does not depend upon