Electromotive force induced in rotating rod¶
Let a rod rotate in a uniform magnetic field. The plane of rotation is perpendicular to the magnetic field lines. The axis of rotation passes through one of the ends of the rod. A wire is connected at both ends of the rod so that it makes a contour. Then the electromotive force induced at the ends of the rod depends on the magnitude of the magnetic flux density, the rotation frequency and the length of the rod.
Links:
Conditions:
The angular velocity of the rod is parallel to the magnetic field. This means that the rod is rotating in a plane perpendicular to the magnetic field.
The magnetic field is uniform.
The angular velocity of the rod is constant.
- electromotive_force¶
electromotive_forceinduced in the rod.- Symbol:
E- Latex:
\(\mathcal{E}\)
- Dimension:
voltage
- magnetic_flux_density¶
Magnitude of
magnetic_flux_density.- Symbol:
B- Latex:
\(B\)
- Dimension:
magnetic_density
- angular_frequency¶
angular_frequencyof rod’s rotation.- Symbol:
w- Latex:
\(\omega\)
- Dimension:
angle/time
- law¶
E = B * w * l^2 / 2- Latex:
- \[\mathcal{E} = \frac{B \omega l^{2}}{2}\]