Investigating AC generator output with an oscilloscope (CP14)
Use an oscilloscope to investigate how the peak voltage and frequency of a generator depend on rotation speed.
Apparatus
- Simple AC generator (rotating coil in a magnetic field, or bicycle dynamo)
- Oscilloscope
- Protractor or revolution counter / tachometer
- Connecting leads
Safety
- Ensure the generator shaft is securely supported and cannot slip during rotation.
- Do not connect the generator to mains-voltage equipment.
Method
- Connect the generator output to the oscilloscope input. Set the timebase and voltage sensitivity.
- Rotate the generator at a steady rate. Observe the sinusoidal trace on the oscilloscope.
- Measure the peak voltage $V_0$ (vertical distance from zero to crest, multiplied by V/div setting) and period T (horizontal distance per cycle multiplied by s/div setting).
- Vary the rotation rate (use a tachometer to measure rotations per second = frequency f). Record $V_0$ and f for each rate.
- Plot $V_0$ against f: straight line through origin.
Key Variables
Independent
Rotation frequency f
Dependent
Peak EMF $V_0$
Controlled
Same generator coil and magnet; Oscilloscope settings constant during a reading
Analysis and Results
- Peak EMF: $V_0 = BAN\omega = BAN \times 2\pi f$. So $V_0 \propto f$.
- Plot $V_0$ vs f: straight line through origin, gradient $= 2\pi BAN$.
- Doubling the rotation speed doubles both the frequency and the peak voltage.
- Period from oscilloscope: $T = 1/f$; check against tachometer reading.
Common Errors
- Reading peak-to-peak voltage rather than peak voltage from the oscilloscope (divide by 2).
- Misreading the timebase: multiply the number of divisions per cycle by the s/div setting.
- Not maintaining a constant rotation rate during a measurement.
Exam-style questions on this practical. Click Show mark scheme to reveal the answer after attempting each question.
Q13 marks
A generator coil has 200 turns, area $30$ cm$^2$, and rotates at 10 Hz in a field of 0.040 T. Calculate the peak EMF.
Q23 marks
Describe what happens to the oscilloscope trace when the rotation speed of the generator is doubled.