What is the magnetic energy density in a volume where the magnetic field is 4.0 mT?
answer is 6.4 J/m^3
show me work to find answer please

What is the magnetic energy density in a volume where the magnetic field is 4.0 mT?...
Electromagnetic wave has an average energy density of 2.0 J/m3 . A) Find the electric field amplitude. Answer in V/m B) Find the magnetic field amplitude. Answer in mT C) By what factor must the field amplitudes be increased if the average energy density is to be doubled to 4.0 J/m3 ?
2. A 2.0-m wire carries a current of 15 A directed along the positive x axis in a region where the magnetic field is uniform and given by Bx = 30 mT and By =-40 mT. Show that the resulting magnetic force on the wire is 1.5 N pointing into the paper. [Please show a diagram for the direction!] 4. Show that a current of 75 A must be maintained in a square loop (50 cm on a side) to create...
You would like to store 8.0 J of energy in the magnetic field of a solenoid. The solenoid has 600 circular turns of diameter 6.2 cm distributed uniformly along its 32 cm length. Part A How much current is needed? Express your answer using two significant figures. I=____ A Part B What is the magnitude of the magnetic field inside the solenoid? Express your answer using two significant figures. I=____ A Part C What is the energy density (energy/volume) inside...
1. Find the magnetic field intensity H everywhere in air due to the volume current density J- uniformly distributed over the inner cylinder o radiusa in the region 0spsa,oses 2r.-acz < and the uniform surface current distribution J.-i,, which nows on the cylindrical shell that is located at ρ=b,0 φ 2r,-oczco. Note that both current densities flow in the 2 direction
The current density inside a long, solid, cylindrical wire of
radius a = 4.0 mm is in the direction of the central axis
and its magnitude varies linearly with radial distance r
from the axis according to J =
J0r/a, where
J0 = 280 A/m2. Find the magnitude of
the magnetic field at a distance (a) r=0, (b) r = 2.7 mm
and (c) r=4.0 mm from the center.
Chapter 29, Problem 047 The current density inside a long, solid,...
You would like to store 8.7 J or energy In the magnetic field of a solenoid. The solenoid has 560 circular turns of diameter 8.2 cm distributed uniformly along its 25 cm length. How much current is needed? Express your answer using two significant figures. what is the magnitude of the magnetic field inside the solenoid? Express your answer using two significant figures. What is the energy density (energy/volume) inside the solenoid? Express your answer using two significant figures.
The magnetic field at the center of a 0.80-cm-diameter loop is 3.0 mT . 1. What is the current in the loop? 2. A long straight wire carries the same current you found in part a. At what distance from the wire is the magnetic field 3.0 mT ? Please indicate the appropriate units.
What electric field has the same energy density as a 1.0 T magnetic field? 1.0 V/m 1.1 × 10-17 V/m 9.0 × 1016 V/m 3.3 × 10-9 V/m 3.0 × 108 V/m
Exercise 1 at Find the electric and magnetic field amplitudes in an EM that has an average energy density of 1.0 J/m². b) By what factor must the field amplitudes be increased if the average energy density is to be doubled to 2.0 J/m².
Earth's atmospheric magnetic flux density is 7.0 mT near the north pole. Near the equator, a power density of 4 kW/m^2 exists from sunlight. A) Determine values for electric and magnetic field strengths due to solar electromagnetic radiation and magnetic flux density of solar EM radiation. B) Compare magnetic flux density of Earth and solar radiation.