Answer
Verified
357.6k+ views
Hint:The magnetic field system must be kept fixed while the conductor moves in order to generate a dynamically induced EMF (electromotive force). The magnetic field system can also be kept moving while the conductor remains stationary. The conductor cuts through the magnetic field and induces the emf in the coil if either of the preceding procedures is performed.
Complete answer:
Dynamically induced emf:
A conductor \[A\] lies within a uniform magnetic field whose flux density is a uniform magnetic field, as shown in the diagram. \[Bw{b^3}\] is the flux density. The movement of the conductor is depicted in this diagram by an arrow line. When conductor \[A\] cuts across the flux at a straight angle.
Let stand for the length of the conductor within the field. It also travels a distance of \[dx\] in time\[dt\] . As a result, the conductor's swept area is = \[ldx\] . As a result, flux cut by the conductor equals\[l.dx{\text{ }} \times {\text{ }}B\] , Time = \[dt\] second Change in Flux = \[B.l.dx{\text{ }}weber\].
According to the laws of Faraday. The induced e.m.f in the conductor. Dynamically induced e.m.f. is the name given to this induced e.m.f.
The rate of change of flux linkages = $\dfrac{{Bldx}}{{dt}} = Bl\dfrac{{dx}}{{dt}} = Blv\,volt$ [Where, $\dfrac{{dx}}{{dt}}$ is velocity]
If the conductor \[\left( A \right)\] moves at an angle to the flux direction (see diagram) \[\left( b \right)\] . Then the induced e.m.f is,
$e = Blv\sin \theta \\
\Rightarrow volts = \overrightarrow {lv} \times \overrightarrow B $
(i.e as cross product vector $\overrightarrow v $ and $\overrightarrow B $ )
The generator, for example, operates on producing dynamically induced e.m.f in conductors.
Note: It's worth noting that either the conductor or the field pole, or both, are moving about in space. Emf induced in the armature of a dc generator, and emf induced in the armature of an alternator with a static armature, for example.
Complete answer:
Dynamically induced emf:
A conductor \[A\] lies within a uniform magnetic field whose flux density is a uniform magnetic field, as shown in the diagram. \[Bw{b^3}\] is the flux density. The movement of the conductor is depicted in this diagram by an arrow line. When conductor \[A\] cuts across the flux at a straight angle.
Let stand for the length of the conductor within the field. It also travels a distance of \[dx\] in time\[dt\] . As a result, the conductor's swept area is = \[ldx\] . As a result, flux cut by the conductor equals\[l.dx{\text{ }} \times {\text{ }}B\] , Time = \[dt\] second Change in Flux = \[B.l.dx{\text{ }}weber\].
According to the laws of Faraday. The induced e.m.f in the conductor. Dynamically induced e.m.f. is the name given to this induced e.m.f.
The rate of change of flux linkages = $\dfrac{{Bldx}}{{dt}} = Bl\dfrac{{dx}}{{dt}} = Blv\,volt$ [Where, $\dfrac{{dx}}{{dt}}$ is velocity]
If the conductor \[\left( A \right)\] moves at an angle to the flux direction (see diagram) \[\left( b \right)\] . Then the induced e.m.f is,
$e = Blv\sin \theta \\
\Rightarrow volts = \overrightarrow {lv} \times \overrightarrow B $
(i.e as cross product vector $\overrightarrow v $ and $\overrightarrow B $ )
The generator, for example, operates on producing dynamically induced e.m.f in conductors.
Note: It's worth noting that either the conductor or the field pole, or both, are moving about in space. Emf induced in the armature of a dc generator, and emf induced in the armature of an alternator with a static armature, for example.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Why is there a time difference of about 5 hours between class 10 social science CBSE
Difference Between Plant Cell and Animal Cell