If a 12 volt battery is connected to a series circuit with three resistors of 2 ohms, 4 ohms, and 6 ohms, how much current will flow through the circuit?

To find the amount of current flowing through the circuit, first, it's essential to determine the total resistance of the series circuit. In a series circuit, the total resistance is the sum of the resistances of all the components involved.

In this case, the resistors have values of 2 ohms, 4 ohms, and 6 ohms. Therefore, the total resistance (R_total) can be calculated as follows:

[ R_{\text{total}} = R_1 + R_2 + R_3 = 2 , \text{ohms} + 4 , \text{ohms} + 6 , \text{ohms} = 12 , \text{ohms} ]

Next, to find the current flowing through the circuit, Ohm's Law is applied, which states:

[ I = \frac{V}{R} ]

Here, ( I ) represents the current in amperes, ( V ) is the voltage in volts, and ( R ) is the total resistance in ohms. Given that the battery provides 12 volts, we can substitute the known values into the equation:

[ I = \frac{12 , \