Principle:
The working of an electric generator is based on
Faraday’s law of electromagnetic induction, which states that: \[ \text{Whenever magnetic flux linked with a coil changes, an electromotive force (emf) is induced in the coil.} \] The direction of the induced current is given by
Fleming’s right-hand rule.
Construction:
An electric generator consists of:
Working:
When the armature coil rotates in the magnetic field, the magnetic flux linked with the coil changes continuously. Due to this change in flux, an
induced emf is generated in the coil. The current thus produced flows through the external circuit via brushes.
The direction of current reverses after every half rotation, so the generator produces an
alternating current (AC).
\[ \text{e} = -\frac{d\phi}{dt} \] where \( e \) = induced emf and \( \phi \) = magnetic flux.
For DC Generator:
If the slip rings are replaced by a
split-ring commutator, the current direction in the external circuit remains the same, producing
direct current (DC).
Find the unknown frequency if 24 is the median of the following frequency distribution:
\[\begin{array}{|c|c|c|c|c|c|} \hline \text{Class-interval} & 0-10 & 10-20 & 20-30 & 30-40 & 40-50 \\ \hline \text{Frequency} & 5 & 25 & 25 & \text{$p$} & 7 \\ \hline \end{array}\]
Two concentric circles are of radii $8\ \text{cm}$ and $5\ \text{cm}$. Find the length of the chord of the larger circle which touches (is tangent to) the smaller circle.