In the half-wave rectifier circuit shown,which of the following waveforms is true for $V_{CD}$,the output across $C$ and $D$?

$A$ diode is connected to $220 \, V$ $(rms)$ $ac$ in series with a capacitor as shown in the figure. The voltage across the capacitor is..... $V$

For the given circuit,the output voltage across the load resistance $R_L$ will be:

Which of the following statements is correct for a diode in a rectifier circuit?

Match List $I$ with List $II$.

List $I$	List $II$
$(a)$ Rectifier	$(i)$ Used either for stepping up or stepping down the $a.c.$ voltage
$(b)$ Stabilizer	$(ii)$ Used to convert $a.c.$ voltage into $d.c.$ voltage
$(c)$ Transformer	$(iii)$ Used to remove any ripple in the rectified output voltage
$(d)$ Filter	$(iv)$ Used for constant output voltage even when the input voltage or load current change

Choose the correct answer from the options given below:

In a full-wave $P-N$ junction diode rectifier, a load resistance of $1500 \ \Omega$ is used. No filter is used. Assume each diode has a forward resistance $R_f = 10 \ \Omega$ and reverse resistance $R_r = \infty$. When a sinusoidal voltage with a peak amplitude of $30 \ V$ and frequency $50 \ Hz$ is applied, calculate the $D.C.$ power output and $A.C.$ power input respectively.