The coil used to measure the movements of a blowfly as described having a diameter of 2 mm, in addition the blowfly is immersed in a magnetic field of magnitude .15 mT. Find the maximum magnetic flux of one of the coils?
To find the maximum magnetic flux of one of the coils, we need to use the formula for magnetic flux:
Φ = B * A * cos(θ)
Where:
Φ is the magnetic flux,
B is the magnetic field strength (in teslas),
A is the area of the coil (in square meters), and
θ is the angle between the magnetic field lines and the surface of the coil (usually 0 degrees for a flat coil).
In this case, we are given that the blowfly is immersed in a magnetic field of magnitude 0.15 mT (milliteslas). We need to convert this to teslas by dividing by 1000:
B = 0.15 mT / 1000 = 0.00015 T
We are also given the diameter of the coil, which allows us to calculate its area. The formula for the area of a circle is:
A = π * r^2
Where r is the radius of the circle. The radius is half the diameter, so:
r = 2 mm / 2 = 1 mm = 0.001 m
Now we can substitute the values into the magnetic flux formula:
Φ = 0.00015 T * π * (0.001 m)^2 * cos(0 degrees)
Since the angle is 0 degrees, the cosine of 0 is 1. Thus, we can simplify the equation:
Φ = 0.00015 T * π * (0.001 m)^2 * 1
Calculating this expression, we find:
Φ ≈ 1.5 × 10^(-10) T·m²
So, the maximum magnetic flux of one of the coils is approximately 1.5 × 10^(-10) T·m².