 Solution

ID: past-exam-of-the-physics-2-paper-of-the-university-of-oxford/2018/9/d/ii/solution

When

ω RC ≫ 1

, the capacitor voltage changes little during each half-cycle. Thus

\dot{V}_{out} ≃ V_{in} / (RC)

, giving an approximately triangular output. Its extrema are

M ≃ \frac{V _{0} T}{4 RC} = \frac{π V _{0}}{2 ω RC} .

The finite but small triangle is centered on zero for the chosen zero-mean input. A nonzero input mean shifts the output mean by the same amount.

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