A 2cm by 1.5cm rectangular coil has 300 turns and rotates in a magnetic field B at 60Hz. What must the values of B be sobthat the maximum emf generated is 24v
To find the value of B, we can use the formula for the maximum emf generated in a rotating coil:
Emax = N * B * A * w
where:
Emax is the maximum emf generated
N is the number of turns in the coil (300 turns)
B is the magnetic field strength
A is the area of the coil (2cm * 1.5cm = 3 cm^2)
w is the angular frequency (2πf = 2π * 60 Hz = 120π rad/s)
We want the maximum emf generated to be 24V, so we can rearrange the formula to solve for B:
B = Emax / (N * A * w)
B = 24V / (300 turns * 3 cm^2 * 120π rad/s)
Now, we can simplify and calculate the value:
B ≈ 24V / (10 × 3 × 120π) ≈ 0.021 V/(turn * cm^2 * rad/s)
Therefore, the magnetic field strength (B) should be approximately 0.021 V/(turn * cm^2 * rad/s) in order for the maximum emf generated to be 24V.