Motional emf is the emf induced in a conducting rod when it moves in a region of magnetic field. Motional emf is calculated by E=vBl. where B is the magnetic field and l is the length of the rod and v is the velocity of rod perpendicular to the length of the rod.
Motional EMF (Electromotive Force) is an induced voltage that arises in a conductor moving through a magnetic field. It is a result of the relative motion between the conductor and the magnetic field, leading to a changing magnetic flux through the conductor. This changing magnetic flux, in turn, induces an EMF in the conductor, causing an electric current to flow if the conductor is part of a closed circuit.
Motional EMF is described by Faraday's law of electromagnetic induction, which states that the induced EMF [tex]\[ \mathcal{E} \][/tex] in a conductor is directly proportional to the rate of change of magnetic flux [tex]\[\Phi_B} \][/tex] through the conductor:
- [tex]\[ \mathcal{E} \][/tex] is the induced electromotive force (EMF) in volts (V).
- [tex]\[\frac{d\Phi_B}{dt} \][/tex]represents the rate of change of magnetic flux with respect to time, measured in webers per second (Wb/s) or tesla per second (T/s).
The negative sign in the equation indicates that the induced EMF opposes the change in magnetic flux, following Lenz's law.
One common example of motional EMF is a conductor (such as a wire) moving perpendicular to a magnetic field. As the conductor moves, the magnetic flux through the conductor changes, inducing an EMF. If the conductor is part of a closed circuit, the induced EMF causes charges to flow, generating an electric current.
Motional EMF is essential in various practical applications, such as in generators, where mechanical motion is used to create electricity. It is also involved in the operation of electric motors, where the opposite process occurs—electric current in a conductor interacts with a magnetic field to produce mechanical motion.
Answers & Comments
Answer:
Motional emf is the emf induced in a conducting rod when it moves in a region of magnetic field. Motional emf is calculated by E=vBl. where B is the magnetic field and l is the length of the rod and v is the velocity of rod perpendicular to the length of the rod.
Verified answer
[tex]\huge{\underline{\underline{\pmb{\mathtt{\pink{A}\red{n}\orange{s}\green{w}\blue{e}\purple{R}}}}}}[/tex]
Motional EMF (Electromotive Force) is an induced voltage that arises in a conductor moving through a magnetic field. It is a result of the relative motion between the conductor and the magnetic field, leading to a changing magnetic flux through the conductor. This changing magnetic flux, in turn, induces an EMF in the conductor, causing an electric current to flow if the conductor is part of a closed circuit.
Motional EMF is described by Faraday's law of electromagnetic induction, which states that the induced EMF [tex]\[ \mathcal{E} \][/tex] in a conductor is directly proportional to the rate of change of magnetic flux [tex]\[\Phi_B} \][/tex] through the conductor:
[tex]\[ \mathcal{E} = -\frac{d\Phi_B}{dt} \][/tex]
where:
- [tex]\[ \mathcal{E} \][/tex] is the induced electromotive force (EMF) in volts (V).
- [tex]\[\frac{d\Phi_B}{dt} \][/tex]represents the rate of change of magnetic flux with respect to time, measured in webers per second (Wb/s) or tesla per second (T/s).
The negative sign in the equation indicates that the induced EMF opposes the change in magnetic flux, following Lenz's law.
One common example of motional EMF is a conductor (such as a wire) moving perpendicular to a magnetic field. As the conductor moves, the magnetic flux through the conductor changes, inducing an EMF. If the conductor is part of a closed circuit, the induced EMF causes charges to flow, generating an electric current.
Motional EMF is essential in various practical applications, such as in generators, where mechanical motion is used to create electricity. It is also involved in the operation of electric motors, where the opposite process occurs—electric current in a conductor interacts with a magnetic field to produce mechanical motion.