A circular coil of radius a rotates at an angular speed ωin a uniform magnetic field B. What
is the output voltage? Estimate the magnetic field in the dynamo you have been using
To calculate the output voltage of a rotating circular coil in a magnetic field, you can use the formula for the induced electromotive force (EMF) in a generator or dynamo. The formula is given by:
EMF = N * B * A * ω * sin(θ)
Where:
- N is the number of turns of the coil
- B is the magnetic field strength
- A is the area of the coil
- ω is the angular speed of the coil
- θ is the angle between the normal to the coil's face and the magnetic field direction
To estimate the magnetic field in the dynamo you have been using, you can use a magnetic field sensor or a Gauss meter if you have access to one. Alternatively, you can refer to the manufacturer's specifications or look up the magnetic field strength of similar dynamos.
Measurements of magnetic field strength are typically given in units of Tesla (T) or Gauss (G). Make sure to convert the units if needed to match the formula above.
Once you have determined the magnetic field strength (B) in the given units, you can plug in the values into the formula to calculate the output voltage (EMF).