If the loop is rotating at a constant angular velocity ?, then the angle ? of the loop will increase linearly with time. ? = ?t also, the tangential velocity v of the edges of the loop is: v= r ? where r is the radius from axis of rotation out to the edge of the loop and ? is the angular velocity of the loop. eind = (v x B) . l Hence, eind = 2r ?Bl sin ?t since area, A = 2rl, eind = AB? sin ?t Finally, since maximum flux through the loop occurs when the loop is perpendicular to the magnetic flux density lines, so Thus, ?max = AB eind = ?max ? sin ?t From here we may conclude that the induced voltage is dependent upon: