A magnetic field of B=0.5B0z^ is present when a loop with radius r is rotated around the y-axis with angular velocity of w=9 rad/s. What is the induced emf?
Well: flux = SB*dA = SBdAcosq(t) = Bcosq(t)SdA = 0.5B0*pi*r^2cosq(t)
d(flux)/dt = 0.5B0*pi*r^2*-sinq(t)*dq(t)/dt =...
Homework Statement
An aeroplane in horizontal flight has a wing span of 50 m and is traveling due north at a speed of
500 kmph. Calculate the emf induced between the wing tips of the aeroplane.
The value of the vertical component of the Earth’s magnetic field is 5.5 x 10-5 T.
What...
How to determine the direction of emf induced in an alternator without the need to look at the graph. (i.e) using Lenz's Law or Faraday's Laws of determining the direction? Consider for example the instant when B and dA are perpendicular and no flux is present?
Thanks for helping!
Dear colleagues,
My question here refers to the EMF induced in an incomplete ring that is stationary amidst a time dependent magnetic field.
We know from Faraday's law that EMF is created upon changing the magnetic flux, either by changing the intensity of the field, or by changing the...
Homework Statement
The magnetic field strength at the South Pole is around 66μT, and magnetic field lines point out of the Earth perpendicular to the surface. The sled is a metal square of side 0.95 m (with non-conducting wooden slats in between).
What is the magnetic flux through the sled...
Homework Statement
I have attached the two questions. the first has a diagram.
1. Find the MAX Induced EMF (in volts) in the loop by the changing current?
2. What is the magnitude of the EMF induced in the loop by the changing current at t=.8 (seconds) answer in Volts?
Homework...
Homework Statement
It is often discussed that a changing magnetic field will create a non-conservative electric field, which would then induces an EMF and hence an induced current, but what happens when we connect voltmeters?
Consider putting a circular loop of wire with some resistance in...
A flat, rectangular coil of dimensions L and w is pulled with uniform speed v through a uniform magnetic field B with the plane of its area perpendicular to the field (the figure (Figure 1) ).How is the emf zero?
My reasons as to why it's zero:
the trig part forces the problem to be zero...
Hi,
Two questions I'm finding it hard to get my head around with inductors...
Say we have an increasing current, this is going to cause an increase in flux in one direction, which will induce an emf to drive a current which produces a magnetic field to oppose the change in flux. Than doing...
1. A solenoid of length 3.64 cm and diameter 0.914 cm is wound with 170 turns per cm. If the current is decreasing at a rate of 36.3 A/s, what is the induced emf in one of the windings?
this is what I did:
Length of the solenoid l = 3.64cm
= (3.64...
conflict: why synchronous machine doesn't produce induced EMF in the DC field wires
Isn't it current path through winding which produce magnetic field (rotating) the must produce EMF in the dc winding of field (same theory of induction)
but why isn't true in synchronous
Hey Folks, I am a third year electrical engineering student and just want to clarify a concept involving electromagnetics/transformers.
When supplying magnetization current to a transformer (assume sinusoidal), this induces a time changing magnetic flux in the core. The time changing magnetic...
What is the difference between induced electromotive force and counter electromotive force? The way they are generated seems the same to me. Can someone tell me the difference and how they are different?
Homework Statement
Attached
Homework Equations
The Attempt at a Solution
I'm pretty confused about this one.
First, I thought that maybe the magnetic field's non uniformity didn't matter since the rate of change of flux was going to be the rate of change of area, but that's...
I am having some trouble understanding why and how the emf changes when a bar magnet is dropped into a solenoid.
As the magnet moves down (have not entered the solenoid yet) it experences an increase in magnetic field. As it enters the magnet it experiences an increase in magnetic still until...
1. A rectangular wire loop (length 60 cm, width 40 cm) lies completely within a
perpendicular and uniform magnetic field of magnitude of 0.5 T. If the length of the loop
starts increasing at a rate of 20 mm/s at time t = 0, while the width is decreasing at the
same rate, what is the magnitude...
Homework Statement
The book describes a rectangular loop of wire in a uniform magnetic field created by a pair of coils. It then discusses the emf that is produced when the rectangular loop rotates with constant angular velocity, noting that the induced emf varies sinusoidally with time.
At...
Hello everyone.
I'm trying to understand how an 'induced' emf behaves on a current carrying conductor.
Basically the example that's giving me problems is in the case of a motor, if a current starts to pass through a coil it will get an induced 'emf' to oppose the motion. And hence it...
Homework Statement
A student is experimenting with a bicycle wheel. He turns the bicycle upside down and spins the wheel in a vertical plane at a constant rate. The diagram shows the wheel. At the place where the experiment is performed, the Earth‟s magnetic field is in a horizontal direction...
Homework Statement
The magnetic field perpendicular to a circular wire loop 6.8cm in diameter is changed from +0.39 T to -0.62 T in 160 m/s , where + means the field points away from an observer and - toward the observer.
Homework Equations
e=Blv
The Attempt at a Solution
e=...
Homework Statement
I'm currently reviewing some of the old E&M material that I haven't seen in a while and have gotten stuck on this problem. I'm sure I'm just making a simple mistake but I can't seem to make any headway.
Here's the problem: Figure 35-32 shows a copper rod moving with...
Homework Statement
Imagine a pliable round metal loop that can expand or contract. In a region with a constant magnetic field B0 that is oriented perpendicular to the plane of the loop, suppose that the loop expands, with its radius growing with time as r = r0(1+at2). As the loop expands and...
A 30mH solenoid inductor is wound on a form 0.4 m in length and 0.1 m in diameter. A coil is tightly wound around the solenoid at its center. the coil resistance is 5.0 ohms. The mutual inductance of the coil and solenoid is 60μH. At a given instant, the current in the solenoid is 0.3A and is...
Faraday's Law of Induction:
EMF=-\frac{\partial \Phi}{\partial t}
If two identical coil with same turns of wire and same dimension ( same cross section area in the middle), one has only air and the other has a magnet core. If the two placed in an uniform varying magnetic field, is there...
I just need some clarification on the induced EMF Formula.. I know that the negative sign in front of N * dFlux/dt is just an indicator of Lenz's law, but if we were given the magnetic flux as a function of time, would there be situations where -d/dt(F(t)) would be different than just...
Hi, I am doing coursework on Faraday's law of induction. My assignment was to carry out experiments which confirm Faraday's law and also to explain the physics of how faraday's law works... My experiments all worked perfectly, producing straight line graphs showing that:
\epsilon\propto N...
Homework Statement
A rectangular coil of 90 turns has dimensions of 22 x 65 cm and is located in a uniform 1 T magnetic field. In 1.7 s, the plane of the coil is rotated from a position where it makes an angle of 19° with the magnetic field to a position where it makes an angle of 64°...
I have a question regarding a conducting loop of radius r in a changing magnetic field B.
I understand and can determine the direction of the induced current which implies the existing of an electric field that is tangential to the loop.
Since this is a closed loop, I am having trouble...
Say I have a solenoid that has a magnetic field Bo Sin(ωt) passing through its axis. What will be the EMF induced in the solenoid as a result ? I know it'll be a function of Cos (ωt) but I am more interested in how my choice of the solenoid will affect the EMF that I'll ultimately measure...
Homework Statement
A closely wound rectangular coil of 95.0 turns has dimensions of 29.0 cm by 40.0 cm. The plane of the coil is rotated from a position where it makes an angle of 39.0 degrees with a magnetic field of 1.60 T to a position perpendicular to the field. The rotation takes 0.120 s...
Hello,
While considering Faraday's Law of Induction, I tried to think of a situation which would expose some difficulties I have with the notion that there is an induced EMF without clear regions of relatively high and low voltage (as in a battery). Here is what I thought would get me started...
Homework Statement
In a lab I passed a magnet through a coil and measured the voltage.
I need/want to know why when moving a magnet through a coil you induce a current. I don't necessarily need a direct answer - I more just want to know if my argument holds and where to look if I'm...
Homework Statement
Are these two things not contradicting?
Homework Equations
The Attempt at a Solution
See figure attached.
Aren't these contradicting one another?
They need a negative sign in there, correct?
Homework Statement
See figure attached.
Homework Equations
The Attempt at a Solution
If we attempt to solve part a) in this question we encounter several confusions.
If we assume i(t) to be a positive current, the magnetic flux will flow through the core in a counter...
Homework Statement
See figure attached.
Homework Equations
The Attempt at a Solution
I'm having some confusion about the negative sign within this problem.
If you compute the curl of the expression shown in the figure you'll find that it's equal to,
-10v_{0} \hat{k}
But...
Show what the magnitude of induced emf
Homework Statement
Consider a magnetic field B = K(x3z2,0, -x2z3)sinωt in the region of interest, where K and ω are positive constants and t is variable time. Show that the magnitude of the induced emf around a circle R in the plane z = a with its center...
Someone who knows what they are talking about: Show what the magnitude of induced emf
Homework Statement
Consider a magnetic field B = K(x3z2,0, -x2z3)sinωt in the region of interest, where K and ω are positive constants and t is variable time. Show that the magnitude of the induced emf...
If a loop is moved in a uniform magnetic field such that the direction of its motion is perpendicular to the magnetic field, then no change of flux occurs. Then according to faraday, no emf is induced...
But I was thinking that can the emf be produced in it due to the deflection force?
Basic question on induced emf - ATTACHMENT CORRECTED PLEASE RE-READ
Hi
Please read the attached doc which is excerpted from the text University Physics by Young & Freedman.The discussion is on the emf induced in a loop made of a superconducting material when a magnet is moved towards it...
I want to model a coil circuit with induced EMF. I want to verify that my model is correct in a circuit. That the voltage developed across the load is calculated correctly. From the equivalent circuit, you can see the current depend on the jX_L and it acts as a low pass filter in the complete...
[Solved] Estimate induced emf in the coil
Homework Statement
Consider a single-loop coil whose magnetic flux is given by this image:
Estimate the induced emf in the coil at times near t = 0.3s, t = 0.4s and t = 0.5s
This is for algebra-based physics.
Homework Equations
emf = -N*(change in...
Hi,
What if the inductor coil is wound one way rather than the other. Then the circular flow of current will be clockwise in one case and anticlockwise in the other.
And if the inductor is connected to an ac source, then the current will vary.
Now in both the orientations, the variation...
I'm doing a lab write-up for physics 2. The experiment is about the title, a bar magnet being dropped through a solenoid.
I have to explain four graphs that plot the change in emf (y axis) vs. time (x) axis. There are incoming and outgoing peaks on these graphs. I have to tie these results...
I'm doing a lab write-up for physics 2. The experiment is about the title, a bar magnet being dropped through a solenoid.
I have to explain four graphs that plot the change in emf (y axis) vs. time (x) axis. There are incoming and outgoing peaks on these graphs. I have to tie these results...
Hi everyone,
This question is bothering me for days and would hope to receive some help in this forum. This question is with regards to Faraday's law on EMI.
Will an emf be induced when a copper rod is accelerated between a uniform magnetic field?
My answer would be no if the rod has...
Homework Statement
A square wire loop of dimensions L X L (L = 15.5 cm) oriented in the xy-plane and centered on the x-axis enters a region where the magnetic field (B = 0.855 T) is first oriented in the +z- and then in the -z-direction as shown in the diagram below. (Note: W = 15.501 cm and...
Homework Statement
"You push a rectangular loop of width .2m, length .8 m, and resistance R=200\Omega into a magnetic field (out of page) Bout=.4 T and a speed v=.2 m/s. The long side of the rectangle is parallel to the x axis. What is the current flowing in the loop?"
Homework Equations
I...
Homework Statement
Find the induced emf in a rotating disc of radius (a) in a magnetic field (B), rotating with uniform angular velocity (w). If the disc is replaced by a rotating conductor of length (a) fixed at one end find the induced emf in the conductor.
2. The attempt at a solution...
Homework Statement
A circular coil of area A with N turns rotates at an angular velocity w about an axis perpendicular to its own axis and to a uniform magnetic field B. Find an expression for the induced EMF in the coil in terms of B, N, A, w and time t. What is the orientation of the coil...
I know the equation for emf: -dflux/dt= -dB/dt*A . In my case everything is constant accept the magnetic field and I am unable to find the equation for that. I know that is what dB is for but that simply does not work in this case.
What is the equation for induced voltage, when everything is...