Consider the loop of wire from Activity 3. The loop is rotated about the indicated axis at a constant angular speed ?. If at t = 0 the loop is found at the position indicated in the leftmost figure, the angle between the area vector A and the magnetic field B at a later time is given by ? (t) = ?t. (a) Find an expression for the flux ?B (t) as a function of the area A of the loop, the magnitude of the magnetic field B, and the angular speed ?. (b) Using Faraday's Law, find an expression for E (t), the magnitude of the induced emf. (c) If the loop of wire is a square of side 1.0 cm that rotates with a frequency of 30.0 Hz in the presence of a magnetic field of magnitude 0.5 T, what is the maximum induced potential difference?

6. Consider the loop of wire from Activity 3. The loop is rotated about the indicated axis at a constant angular speed w. If at t = 0 the loop is found at the position indicated in the leftmost figure, the angle between the area vector A and the magnetic field B at a later time is given by 0 (t) = wt. (a) Find an expression for the flux QB (t) as a function of the area A of the loop, the magnitude of the magnetic field B, and the angular speed w. (b) Using Faraday's Law, find an expression for & (t), the magnitude of the induced emf. (c) If the loop of wire is a square of side 1.0 cm that rotates with a frequency of 30.0 Hz in the presence of a magnetic field of magnitude 0.5 T, what is the maximum induced potential difference