Transistor geometries in a $CMOS$ inverter have been adjusted to meet the requirement for worst case charge and discharge times for driving a load capacitor $C$. This design is to be converted to that of a $NOR$ circuit in the same technology, so that its worst case charge and discharge times while driving the same capacitor are similar. The channel lengths of all transistors are to be kept unchanged. Which one of the following statements is correct?
- Widths of $PMOS$ transistors should be doubled, while widths of $NMOS$ transistors should be halved.
- Widths of $PMOS$ transistors should be doubled, while widths of $NMOS$ transistors should not be changed.
- Widths of $PMOS$ transistors should be halved, while widths of $NMOS$ transistors should not be changed.
- Widths of $PMOS$ transistors should be unchanged, while widths of $NMOS$ transistors should be halved.