An AC generator works on the principle of electromagnetic induction. A coil rotates within a magnetic field…

Question

An AC generator works on the principle of electromagnetic induction. A coil rotates within a magnetic field, causing the magnetic flux linkage through the coil to continuously change. This change in

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9.1

An AC generator works on the principle of electromagnetic induction. A coil rotates within a magnetic field, causing the magnetic flux linkage through the coil to continuously change. This change in magnetic flux induces an electromotive force (emf) and current in the coil. As the coil rotates, the direction of the induced emf reverses periodically, producing an alternating current.

9.2

A maximum emf is induced when the rate of change of magnetic flux linkage is at its maximum. This occurs when the plane of the coil is parallel to the magnetic field lines, and the coil sides are cutting the magnetic field lines perpendicularly.
This happens at Position C (90°).

9.3

The induced emf in an AC generator varies sinusoidally with time.

\begin{tikzpicture}
\begin{axis}[
    axis lines=middle,
    xlabel={Time / Angle ($\theta$)},
    ylabel={Induced emf},
    xmin=0, xmax=360,
    ymin=-1.2, ymax=1.2,
    xtick={0, 45, 90, 135, 180, 225, 270, 315, 360},
    ytick={-1, 0, 1},
    xticklabels={A (0°), B (45°), C (90°), D (135°), E (180°), , , , },
    grid=major,
    domain=0:360,
    samples=100
]
\addplot[blue, thick] {sin(x)};
\node[above right] at (axis cs:90,1) {Max emf};
\node[below left] at (axis cs:0,0) {Zero emf};
\node[below left] at (axis cs:180,0) {Zero emf};
\end{axis}
\end{tikzpicture}

9.4

Calculate the RMS voltage ( $V_{rms}$ ).
The relationship between peak voltage ( $V_{peak}$ ) and RMS voltage ( $V_{rms}$ ) for an AC generator is:
$V_{rms} = \frac{V_{peak}}{\sqrt{2}}$
Given $V_{peak} = 170 \text{ V}$ :
$V_{rms} = \frac{170 \text{ V}}{\sqrt{2}}$ $V_{rms} \approx 120.208 \text{ V}$
Calculate the RMS current ( $I_{rms}$ ) using Ohm's Law.
Ohm's Law states $V = IR$ . Therefore, $I_{rms} = \frac{V_{rms}}{R}$ .
Given $R = 100 \ \Omega$ :
$I_{rms} = \frac{120.208 \text{ V}}{100 \ \Omega}$ $I_{rms} \approx 1.202 \text{ A}$
The rms current passing through the resistor is $\boxed{\text{1.20 A}}$ .

9.5.1

To convert an AC generator to a DC generator, the slip rings must be replaced with a split-ring commutator.

9.5.2

The energy conversion in a DC generator is from mechanical energy to electrical energy.

9.5.3

YES

An AC generator works on the principle of electromagnetic induction. A coil rotates within a magnetic field, causing the magnetic flux linkage through the coil to continuously change. This change in

Answer

Step-by-step solution

9.1

9.2

9.3

9.4

Calculate the RMS voltage ( $V_{rms}$ ).

Calculate the RMS current ( $I_{rms}$ ) using Ohm's Law.

9.5.1

9.5.2

9.5.3

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An AC generator works on the principle of electromagnetic induction. A coil rotates within a magnetic field, causing the magnetic flux linkage through the coil to continuously change. This change in

Answer

Step-by-step solution

9.1

9.2

9.3

9.4

Calculate the RMS voltage (VrmsV_{rms}Vrms​).

Calculate the RMS current (IrmsI_{rms}Irms​) using Ohm's Law.

9.5.1

9.5.2

9.5.3

Try one yourself

Still stuck on this one?

More Physics Questions

Calculate the RMS voltage ( $V_{rms}$ ).

Calculate the RMS current ( $I_{rms}$ ) using Ohm's Law.