A multiple loop configuration is rotating at 60 Hz in a magnetic field of 0.12 T. The coil has an area of 0.0052 m2. How many coil loops are required to produce a maximum voltage difference of 170 V?
To find the number of coil loops required to produce a maximum voltage difference of 170 V, we can use Faraday's law of electromagnetic induction. According to Faraday's law, the induced voltage in a coil is equal to the rate of change of magnetic flux through the coil.
The formula to calculate the induced voltage in a coil is given by:
V = N * A * B * f
Where:
V = induced voltage (in volts)
N = number of coil loops
A = area of the coil (in square meters)
B = magnetic field strength (in teslas)
f = frequency of rotation (in hertz)
We are given:
V = 170 V
A = 0.0052 m^2
B = 0.12 T
f = 60 Hz
Substituting the given values into the formula, we can solve for N:
170 = N * 0.0052 * 0.12 * 60
First, calculate the product of the constants:
0.0052 * 0.12 * 60 = 0.03744
Now, isolate N:
170 = N * 0.03744
Divide both sides of the equation by 0.03744 to solve for N:
N = 170 / 0.03744
N ≈ 4547.76
Therefore, approximately 4548 coil loops are required to produce a maximum voltage difference of 170 V in this multiple loop configuration.