Final answer:
In a series circuit, the total resistance is the sum of the individual resistances. To find the current, we can use Ohm's law. To calculate the voltage drop across each resistor, use Ohm's law. The power dissipated by each resistor can be found using the formula P = I² * R.
Step-by-step explanation:
In a series circuit, the total resistance is the sum of the individual resistances. For the given resistances R₁ = 1.00 Ω, R₂ = 6.00 Ω, and R₃ = 13.0 Ω, the total resistance is 20.0 Ω.
To find the current, we can use Ohm's law, which states that current (I) is equal to the voltage (V) divided by the resistance (R). The voltage output of the source is not provided in the question, so the current cannot be calculated.
To calculate the voltage drop across each resistor, we can use Ohm's law again. The voltage drop (V) is equal to the current (I) multiplied by the resistance (R).
The power dissipated by each resistor can be found using the formula P = I² * R, where P is the power, I is the current, and R is the resistance.
Without the voltage output of the source, we cannot calculate the total power output of the source or verify if it equals the total power dissipated by the resistors.