Final answer:
Using Ohm's Law, the current that will run through a 34.26 ohm resistor connected to a 26.99 volt battery is calculated to be approximately 0.7878 amperes.
Step-by-step explanation:
To find out how much current will run through a 34.26 ohm resistor connected to a 26.99 volt battery, we use Ohm's Law, which states that current (I) equals voltage (V) divided by resistance (R).
Ohm's Law formula: I = V / R
By substituting the given values into the formula:
I = 26.99 V / 34.26 Ω
The current (I) can be calculated as:
I = 0.7878 A (rounded to four decimal places)
Therefore, approximately 0.7878 amperes of current will flow through the resistor when it is connected to the battery.