Magnetic field intensity Definition and 21 Threads

I followed the following approach which is also the listed solution: First of all, from Ampere’s circuital law, we get: ∮B⋅dl=μ_0I Here, I is the enclosed circuit in the circular Gaussian surface of radius c and its value will be: I=J⋅πc^2 Here, J is the current flowing per unit cross-sectional...

Hi! So my question is this, I have done measurements with an magnetic field meter around a transformer from 0.5 meter away (then measure some points around) and then I moved out 0.5 meters and so on until I reached a nearby building. So my issue now is I want to visualize this to my customer...

Inner conductor radius = 1cm outer conductor radius = 10cm region between conductors has conductivity = 0 & 𝜇r = 100 𝜇r = 1 for inner and outer conductor Io = 1A(-az) 𝑱(𝑟) = (10^4)(𝑒^-(r/a)^2)(az) Problem has cylindrical symmetry, use cylindrical coordinate system. Find the total current...

While going through an article titled "Reflections in Maxwell's treatise" a misunderstanding popped out at page 227 and 228. Consider the following equations ##(23\ a)## and ##(23\ c)## in the article (avoiding the surface integral): ##\displaystyle \psi_m (\mathbf{r})=-\dfrac{1}{4 \pi} \int_V...

Homework Statement Calculate the time-dependent magnetic field intensity B(t) at an axial distance r from a long, thin straight copper wire that carries a sinusoidal current with an alternating frequency of 50 Hz and a maximum amplitude of 0.5 A. Homework Equations I = Asin(\omega t) B =...

Homework Statement What is the EMF generated in a straight conductor of length L placed in a time varying magnetic field B as shown in the below figure.. Homework EquationsThe Attempt at a Solution Time varying magnetic field is B.cosωt, EMF = (d/dx)(B.L.cosωt) = -B.L.ω.cosωt I don't know...

I'm a bit stuck on this question (which is homework so hints are more welcome than outright answers). The question is: A very long wire carrying a current I is moving with speed v towards a small circular wire loop of radius r. The long wire is in the plane of the loop and is too long to be...

Homework Statement A square with each side of 5 cm in length.Now if 4 parallel wires in each 4A current is flowing were placed on the vertex of the square.How can I find the center of the square of the magnetic strength? Homework Equations I am not sure what equation should be used.If I knew I...

Hello folks, Can anyone explain to me what is the difference between magnetic field intensity H and magnetic field density B?

Hi all, My question is, in electromagnetism, magnetic field intensity H is equivalent to electric field intensity E , right?? Now, definition of E says that E is the force experienced by an unit positive charge in an electric field created by a source charge. So what is the definition for...

Homework Statement Two infinitely long filaments are placed parallel to the x-axis as shown in Figure 1. a)Find H at the origin b)Find H at (-1,2,2) Homework Equations ∫Hdl=Ienclosed H=H1+H2 The Attempt at a Solution Well following the equation above I get Hl= Ienc then...

Hi everyone here, hope you enjoying this summer .. i'm taking ' elements of electromagnetic ' course this summer session and i just have a little question here in the yellow shaded statement shouldn't it be dl = (l/N) dz instead of dl=(N/l) dz ? By the way, it's not a HW...

Homework Statement Let the regions 0 < z < 0.3 m and 0.7 < z < 1.0 m be conducting slabs carrying uniform current densities of 10 A/m^2 in opposite directions. Find H (the magnetic field intensity) and different z positions. Homework Equations Biot-Sarvot Law: H = ∫ (I dL X r)/ (4∏R2)...

Is the magnetic field intensity at point P stronger at 2 amps or 4 amps at point P (just outside each electromagnet), if they both have equal amounts of turns of wire. No relative equations. I know that magnetic field intensity is stronger as the number of loops are increased but I...

I'm trying to find a mathematical formula between applied tension and resulted magnetic field intensity on an electromagnet. I know that between the voltage and the electric current there is a pi/2 offset, but in practice there is a bit more than actually pi/2 offset probably something that...

How would I calculate the magnetic flux density of the magnetic field generated by eddy currents induced in a circular plate? I decided it would be reasonable to approximate this by considering the flux density of a current loop. However, it is my understanding that eddy currents are induced...

Now here is a real world practical application. Australia Post has a warning for shipping magnetic material in the post. Section D2.9.2 states... Any material that, when packed, has a magnetic flux density of 0.159 A/m or more at a distance of 2.1 meters from any point on the surface on the...

Homework Statement Given the magnetic field intensity, H, find E. H=\hat{y}6cos(2z)sin((2x10^7)t - 0.1x) Homework Equations \nabla \times E = \frac{- \partial B}{\partial t} The Attempt at a Solution Since we have H, we can use the relationship that \muH = B and then take the...

Homework Statement Positive point charges q_1= 6.90 microC and q_2= 2.90 microC are moving relative to an observer at point P as shown in the figure. The distance from the observer to either charge is originally d = 0.190 m.The two charges are at the locations shown in the figure. Charge...

I tried reading my textbookfor the answers to these questions, but I can't find an answer. Can someone answer these questions? 1. Changing the magnetic field intensity in a closed loop of wires induces A. Current B Voltage C. Both D. Neither 2. True or False: Energy emitted by...

This is for an assignment that is due next Monday for me. I'm kind of confused here for how to calculate the magnetic field intensity at all points for the conductor(s) in the diagram I have attached. First, there is a cylindrical conductor of radius a, then surrounding it is another conductor...