Faraday first demonstrated his law of induction by showing that when he created a current in one wire coil it created a second current in a second coil.
Another experiment showed the same effect. When he moved a magnet through a wire coil, it created a current in the coil.
My question is this...
In electromagnetic radiation, the electric field and the magnetic field mutually induce each other: but my impression is that it would be better to say that they are two aspects of the same wave, so that there is no time between them. However, an alternative would be that there would be that...
A square conducting loop of side length a is in a non-uniform magnetic field. The loop occupies the first quadrant of the xy plane, i.e. the space between the origin (x, y) = (0,0) and the point (x,y) = (a, a). The magnetic field is in the +z direction. Develop an expression for the magnitude of...
This question is motivated by Problem 7.12 in Griffiths Electrodynamics book. I have not included it in the homework section, because I have already solved it correctly. However, I question whether my solution which agrees with the solution's manual is correct.
Relevant Equations:
$$\Phi =...
I first calculated Magnetic field at a distance x using Ampere's law.Then i took an element and wrote its inductance using L=Flux/Current.
Then i integrated from a to b.
But i arrived at nothing.
Help.
In order to calculate for the curl of the induced electric field for a loop moving in a uniform magnetic field, and using the cylindrical coordinate system for a curl, it's my understanding that since the B field is in the 𝑧̂ direction, then so is the partial time derivative of B, and therefore...
Above is an example figure.
2. When a ring in a changing magnetic field is not complete (i.e. open circuit with a small gap), how to analyze the emf of the ring?
According to the general form of Faraday's law, ## \oint \vec{E} \cdot d \vec{s} = -\frac{d \Phi}{dt} ##, I deduce that although it...
Homework Statement
I have been stuck on this for weeks
Homework Equations
∫E.dl = -dφ/dt
The Attempt at a Solution
Total EMF (V) = -dφ/dt (Where φ is the magnetic flux through the loop)
⇒V = -A(dB/dt) (Since Area remains constant)
⇒V = -Ax (x=dB/dt)
⇒V = -2xl^2
I do not know how to proceed.
Homework Statement
The figure below shows a small circular loop of wire in the plane of a long, straight wire that carries a steady current I upward. If the loop is moved from distance x_2 to distance x_1 from the straight wire, what will be the direction of the induced current in the loop and...
Homework Statement
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I encountered this problem during my exam. A coil of 50 turns, each with area 0.02m2 is rotated in a uniform magnetic field of magnitude 0.4T. The coil is rotated at a frequency of 60Hz. Given the average power generated is 50W, what is the resistance of the wire...
I know that the right hand rule applies for induced currents, and the left hand rule is for motors, but why? It doesn't seem to connect with any other physics laws and is very counter-intuitive that the current will flow in one direction rather than the opposite direction if both are...
Homework Statement
suppose a coil is placed in a changing magnetic field and the circuit is not closed will the current induce in the coil
Homework Equations
The Attempt at a Solution
What I thought was that the current flows only in a closed circuit because it needs a potential difference...
Homework Statement
Homework Equations
The Attempt at a Solution
The emf gets induced due to the changing flux.
The flux through the rod remains 0. So, there is no induced emf.
I don’t know how to calculate induced electric field.
But as there is no induced emf, so there is no induced...
Suppose there is a coil around a C-shaped iron core with a dipole magnet in the gap as shown in the dynamo below. As the magnet is spinning, in order to oppose the force, a changing pole is produced in the iron. (Eg. As N-pole approaches the iron core, a north pole is induced to oppose the...
Homework Statement
A homopolar generator consists of a metal disc of radius ##a## and a central axle which has radius ##a/4##. The disc has resistivity ##\rho## and thickness ##t##. It is rotated in a uniform magnetic field ##B## about an axis through the centre, which is parallel to ##B## and...
Homework Statement
We have a coil with cross-sectional area of 2.4m^2.
Magnetic flux density is of 0.29T
Number of turns are 1.
Initially the coil is parallel to magnetic field lines. (Coil's normal vector is perpendicular to field vector)
Calculate the change in magnetic flux when coil is...
In Purcell- Electricty and Magnetism book, in the chapter on electromagnetic induction, I found the following explanation regarding the magnetic flux through a circuit of area ##S##.
Consider the circuit in figure, moving in a time ##dt## in a magnetic field ##B##, constant in time (but not...
I just read in my text book that it is impossible to harness electricity from the induced emf if the velocity of a conductor is parallel to its straight length. Let me elucidate further: a magnetic field goes into the page and a straight conductor is moved straight down or up (perpendicular to...
since graphite conducts. if spiral shape is drawn with pencil on the wall (thick , dark lines)
will a voltage difference appear between inner and outer end of the spiral when a varying magnetic field is switched on, normal to wall
Homework Statement
A circular loop of wire is placed next to a long straight wire. The current I in the long straight wire is increasing. What direction is the current that's induced in the circular loop?
Homework Equations
The Attempt at a Solution
I'm aware that the answer is clockwise...
When I induce magnetic flux through a closed loop, I should expect the lines of flux produced by current in that loop to oppose the change of flux through that loop. But what happens when that loop, say a rectangular loop, is curved into the shape of the letter J (like a candy cane) and my flux...
Dynamos and transformers have inductor coils reacting with changing magnetic fields and importing energy into the circuit in form of induced current
1. What about the counterpart of above principle in case of capacitors?
2. Will capacitors interact with...
What is emf in the coil? As far as I know about emf is that it is potential difference between two terminals of a source but what if it is induced in coil by changing flux linkage. What exactly happen when emf is induced?
Homework Statement
Two coencenteric metalic shell has inner radius $r_1$ outer radius $r_2$. We place along axis infinity wire has $\lambda$ charge in per unit length. The inner region of metalic shells inserted with relative permabilitty coefficent $\epsilon$. This system rotates with $\omega$...
Say you have a coil connected in a closed circuit. You then move a magnet inside of the coil and it remains stationary inside of the coil. Is the magnet, even though it is stationary, still inducing an emf in the coil or is it not? I'm guessing it doesn't induce an emf in the coil because...
1. The two rotors (purple, green) are electricaly isolated but mechanically fit to rotate along same axis
2. The motor action on the left side rotor will move the armature set, this will produce currents in right side rotor that will pass via a variable load.
3. do you see the magnetic feilds...
1. Imagine a big river with water flowing constant velocity , assume there is a whirlpool at center as shown in the figure.
2. Because of the magnus force the whirlpool should move towards left or right towards river bank depending on the spin, but it does't happens it just stays fine in its...