I was given an equation by bobpursey but I don't know what it means.
Considerable scientific work is currently underway to determine whether weak oscillating magnetic fields such as those found near outdoor power lines can affect human health. One study indicated that a magnetic field of magnitude 1.0 10-3 T, oscillating at 60 Hz, might stimluate red blood cells to become cancerous. If the diameter of a red blood cell is 8.5 µm, determine the maximum emf that can be generated around the perimeter of the cell if the magnetic field strength is 1.3 10-3 T.
Considerable scientific work is currently underway to determine whether weak oscillating magnetic fields such as those found near outdoor power lines can affect human health. One study indicated that a magnetic field of magnitude 1.0 10-3 T, oscillating at 60 Hz, might stimluate red blood cells to become cancerous. If the diameter of a red blood cell is 8.5 µm, determine the maximum emf that can be generated around the perimeter of the cell if the magnetic field strength is 1.3 10-3 T.
The equation you have been given is used to determine the maximum electromotive force (emf) that can be generated around the perimeter of a red blood cell. The equation is not explicitly mentioned in the text you provided, but it can be derived using basic principles of electromagnetic induction.
The equation is:
emf = (diameter * magnetic field strength * π) / (2 * time period)
Here's how you can break down the equation and determine the maximum emf:
1. Identify the variables:
- Diameter of the red blood cell: 8.5 µm (micrometers)
- Magnetic field strength: 1.3 × 10-3 T (Tesla)
- Time period: The given frequency of 60 Hz corresponds to a time period of 1/60 seconds. In this case, we assume that the maximum emf is generated at the peak of the oscillating magnetic field.
2. Plug the values into the equation:
emf = (8.5 µm * 1.3 × 10-3 T * π) / (2 * (1/60) s)
3. Simplify the equation:
emf = (8.5 × 10-6 m * 1.3 × 10-3 T * π) / (2 * (1/60) s)
emf = (11.05 × 10-9 m²·T·s⁻¹ * π) / (2 * (1/60) s)
emf = 5.525 × 10-9 π T·m²·s⁻²
4. Calculate the maximum emf:
emf ≈ 1.739 × 10-8 T·m²·s⁻² (rounded to three significant figures)
So, the maximum emf that can be generated around the perimeter of the red blood cell is approximately 1.739 × 10-8 T·m²·s⁻².