What is the way to set up an electric circuit with a filament lamp, switch, battery, ohmmeter, voltmeter and variable resistor as to have the most optimal measurement for the current and voltage?

To set up an electric circuit with a filament lamp, switch, battery, ohmmeter, voltmeter, and variable resistor for optimal measurements of current and voltage, you can follow these steps:

1. Connect the positive terminal of the battery to one terminal of the switch, and connect the other terminal of the switch to one terminal of the filament lamp.

2. Connect the other terminal of the filament lamp to one terminal of the variable resistor.

3. Connect one terminal of the ohmmeter to the other terminal of the variable resistor, and connect the other terminal of the ohmmeter to the negative terminal of the battery.

4. Connect one terminal of the voltmeter to the same point where the variable resistor is connected to the filament lamp, and connect the other terminal of the voltmeter to the negative terminal of the battery.

Now, to optimize the measurements for current and voltage:

5. Set the variable resistor to its maximum resistance initially. This would minimize the current flowing through the circuit.

6. Turn on the switch and adjust the variable resistor gradually to decrease the resistance. As you decrease the resistance, the current flowing through the circuit will increase.

7. Use the ohmmeter to measure the resistance of the variable resistor. Adjust the variable resistor until you achieve the desired resistance value.

8. Use the voltmeter to measure the voltage across the filament lamp. Adjust the variable resistor if needed to achieve the desired voltage value.

By adjusting the resistance of the variable resistor, you can control the amount of current flowing through the circuit. Similarly, by measuring the voltage across the filament lamp, you can determine its operating conditions.