Car headlight circuit - is this possible or do I need two separate circuit diagrams?

I have the following components:
12 Volt Battery, 1 x Double filament lamp, two switches (assume stay closed when switched).
Draw a circuit diagram using these components which would allow:
a) either filament can be switched on separately AND
b) both filaments switched on at the same time.

Such a circuit is possible. Put one filament and one switch in each of two parallel legs of a series-parallel circuit connected to the 12 V battery. This will allow current to go through either or nboth filaments

To switch them on or off at the same time, a third single-pole single-throw switch could be ued in the series part of the circuit.

The lamps are both 12 Volts, only two switches are available.

To create a circuit diagram that accomplishes the required tasks, you can follow these steps:

1. Begin by drawing the 12 Volt battery as a symbol with positive (+) and negative (-) terminals.
2. Connect the positive terminal of the battery to the common terminals of both switches.
3. From the common terminal of the first switch, draw two lines in parallel. Place a resistor symbol at the end of one line and a double filament lamp symbol at the end of the other line.
4. Connect the other end of the resistor to the negative terminal of the battery.
5. From the common terminal of the second switch, draw two more lines in parallel. Place the other end of the double filament lamp symbol at the end of one line.
6. Finally, connect the other end of the second line of the second switch to the negative terminal of the battery.

The circuit diagram described above allows you to achieve the desired functionalities:

a) To switch on either filament separately:
- Close the first switch: This allows current to flow from the positive terminal of the battery through the first switch, then through the double filament lamp, and finally, back to the negative terminal of the battery.
- This will light up one filament while the other remains off.

b) To switch on both filaments at the same time:
- Close both switches: This allows current to flow from the positive terminal of the battery through both switches, then through both filaments of the double filament lamp, and finally, back to the negative terminal of the battery.
- This will light up both filaments simultaneously.

Remember to use the appropriate symbols for the battery, switches, resistors, and double filament lamp while drawing the circuit diagram.