Energy Density in Magnetic Field

The ratio of energy stored per unit volume in a solenoid having magnetic induction $B$ to the electrostatic energy stored per unit volume in a capacitor in elcctric field $E$ is

For a long current carrying solenoid having inside magnetic field is $0.6 \mathrm{T}$. Find the magnetic energy per unit volume.

The energy stored in a $40 \mathrm{mH}$ inductor when a current of $6 \mathrm{A}$ passes through it is

By inserting a soft iron piece into a solenoid, strength of the magnetic field

A current of 2A flows through a solenoid of self-inductance of 3 mH. the energy stored in the solenoid will be-

Write the energy density formula in the case of a magnetic field or inductor.

The current through two inductors of $12 \mathrm{mH} \mathrm{and} 30 \mathrm{mH}$ is increasing with time at the same rate. Draw the graphs showing the variation of the energy stored in each inductor with the current flowing through it. Compare the energy stored in the coils if the power dissipated in the coil is the same. 

A coil of resistance $15 \mathrm{ohm}$ and inductance $10 \mathrm{H}$ is connected across a $90 \mathrm{V} \mathrm{dc}.$ Determine the energy stored after $2 \mathrm{s}.$Calculate the energy density if the radius of the coil is $1 \mathrm{cm}.$ and length is $5 \mathrm{cm}$.

What is the energy density of $4.5 \mathrm{T}$ magnetic field? How much energy is stored if this magnetic field is confined in a cylinder of radius $20 \mathrm{cm}.$ and height $1.5 \mathrm{m}$?

Deduce an expression for the magnetic energy density of a solenoid.

A coil of inductance $1.0 \mathrm{H}$ and resistance $100 \Omega$ is connected to a battery of emf $12 \mathrm{V}$. Find the energy stored in the magnetic field associated with the coil at an instant $10 \mathrm{ms}$ after the circuit is switched on.

The self inductance of a given solenoid is $500 \mathrm{mH}$. Calculate the energy stored in the solenoid if $100 \mathrm{mA}$ of current is flowing through it.

The magnetic energy per unit volume is

For a solenoid derive the magnetic energy stored in it, in terms of magnetic field, area of cross-section and it's length.

The flux linked with a coil at any instant $t$ is given by: $\varphi = 2t^2–t+1$. The magnitude of induced emf at $t=3$ $\sec$ is.

The electric current flowing in a wire in the direction from B to A is decreasing. Find out the direction of the induced current in the metallic loop kept above the wire as shown.

In an electromagnetic wave, the average energy density associated with the magnetic field will be

A coil has an inductance of $5 \mathrm{H}$ and a resistance $20 \mathrm{\Omega }$. An emf of $100 \mathrm{V}$ its applied to it. What is the energy stored (in joule) in the magnetic field, when the current has reached its final steady value?

Current flowing through a solenoid having inductance $2 \mathrm{mH}$ is $4 \mathrm{A}$. Find the energy stored in the solenoid.

Magnetic energy stored in the solenoid in the terms of magnetic field $B$, area $A$ and length $L$ of the solenoid.