Dynamically induced emf and statically induced emf, Mechanical Engineering

Assignment Help:

Q. What is meant by dynamically induced emf and statically induced emf? On what factors do these depend? Derive eq. for these two emfs.

 

Sol. Dynamically induced emf:

Consider a conductor of length l m placed in a uniform magnetic field of density B wb/m2.

 

Let this conductor be moved with velocity Vm/sec in the direction of field. In this case no flux is cut by conductor, therefore. No emf is induced.

Now if this conductor is moved with the velocity v m/s in a direction perpendicular to its own length and perpendicular to the direction of the magnetic field. Flux is cut by conductor therefore, an emf is induced in the conductor.

Area swept per sec. by the conductor = l × v m2/sec

 

Flux cut per sec. = flux density × area swept per sec. = Blv

 

Rate of change of flux, d φ/dt

 

Flux cut per sec. = Blv wb/sec

 

Induced emf, e = d φ/dt = Blv volts

 

The magnitude of emf induced is proportional to the components of the velocity in a direction perpendicular  to the direction of the magnetic field and induced emf is given by

 

        E = Blv sinθ volts

 

 Statically induced emf

 Self induced emf :

 Consider a solenoid of N turns, length l m, area of x- section a square meters and of relatively permeability µr. When the solenoid carries a current of I amperes, a magnetic field of flux µi/l/ µo µra weber is set up around the solenoid and links with it.

 

If the current flowing through the solenoid is changed., the flux produced by it will change and therefore, an emf will be induced.

 

               Self induced emf e = -µ dΦ/dt

 

                           = - µ d/dt [µ/l/ µo µra di/dt = - µ2 µr µoa.di/dt


Related Discussions:- Dynamically induced emf and statically induced emf

Operating characteristics of the valve, Operating characteristics of the va...

Operating characteristics of the valve is nonlinear (Fig.), a cascade controller established to reduce the effect of this. Both controllers are proportional controllers. TC has

Steel ball v/s cotton ball, steel ball v/s cotton ball of same weigt which ...

steel ball v/s cotton ball of same weigt which is easy to lift

Determine the maximum torque - shaft, Determine the maximum torque - shaft:...

Determine the maximum torque - shaft: Determine the maximum torque that can be safely transmitted by a shaft of 400 mm diameter, if (a) the maximum allowable shear stress i

Show average system time, A bank has only one typist since the typing work ...

A bank has only one typist since the typing work varies in length (Number of pages to be typed). The typing rate is randomly distributed approximating a Poisson Distribution with m

Determine the stresses in the shell, Determine the stresses in the shell: ...

Determine the stresses in the shell: A thin spherical shell of 1.5 m diameter & 8 mm thickness is filled having a liquid at an internal pressure of 1.5 N/mm 2 . Determine the

Find out the mechanical advantage of the machines, Find out the mechanical ...

Find out the mechanical advantage of the machines: A lifting machine may lift 800 N by the application of 100 N. Distance moved by the effort is 100 cm. At the same time load

Design close coiled helical compression spring, Prepare a design of close c...

Prepare a design of close coiled helical compression spring for a service load ranging from 2250 N to 2750 N. The axial deflection of the spring for the load range is 6 mm. Conside

Relative velocity in mechanism, how can I determine the relative velocity ...

how can I determine the relative velocity in mechanism

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd