Electromagnetic Induction and Faraday's Law

Magnetic flux is $\Phi = BA\cos\theta$ with the angle measured from the normal to the loop, so a loop held edge-on to the field carries no flux. Faraday's law gives $\varepsilon = -N\Delta\Phi/\Delta t$, a rate of change, so a huge steady flux induces nothing and the emf is read as the slope of a flux-against-time graph rather than its height. Since three factors make up the flux, an emf appears whenever $B$, $A$ or $\theta$ changes: a bar sliding on rails in a constant field induces $BLv$, and a rotating coil induces continuously. Lenz's law aims the induced current so that its field opposes the change in flux.

Four errors dominate. Measuring the flux angle from the loop's plane instead of from its normal, which gives a maximum where zero belongs, and dropping the number of turns. Ranking induced emf by how much flux is present rather than by how fast it is changing, which puts the peak emf exactly where the correct answer is zero. Concluding that a constant field can never induce, which misses both the sliding bar and the rotating coil. And aiming the induced current so that its field opposes the existing field rather than the change, which is backward whenever the flux is decreasing.