Physics 9702 · AS & A Level · Rectification and smoothing

Rectification and smoothing — practice question

Fig. 11.1 shows the circuit of a full-wave rectifier built from four ideal diodes. A resistor $R$ is connected across the output $AB$ of the rectifier.
(a(i))[1]

On Fig. 11.1, circle any diodes that conduct when terminal $X$ of the input is positive relative to terminal $Y$.

(a(ii))[1]

Mark the positive $(+)$ terminal and the negative $(-)$ terminal of output $AB$.

(b(i))[1]

The potential difference $V$ across input $XY$ varies with time $t$ according to $V = 5.6\sin 380t$, where $V$ is in volts and $t$ is in seconds. Use the expression for the input potential difference $V$, or another method, to find the root-mean-square (r.m.s.) potential difference $V_{\text{r.m.s.}}$ of the input.

(b(ii))[2]

Find how many times each second the rectified potential difference at the output reaches a peak value.

(c(i))[4]

A capacitor is then connected between the output terminals $AB$. The capacitor reduces the output variation (the ripple) to $1.6\,\text{V}$. On Fig. 11.2, sketch how the smoothed output voltage varies with time $t$ for $t = t_1$ to $t = t_2$.

(c(ii))[2]

Suggest and explain, if there is any effect, on the mean power dissipation in resistor $R$ when the capacitor is connected between terminals $AB$.

(c)

A capacitor is then connected between the output terminals AB. The capacitor reduces the output variation (the ripple) to $1.6\,\text{V}$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Only the top left and bottom right diodes are circled

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI