If three identical resistors are connected in series to a battery, the resistance of the combination will be ___ times the resistance of any one of the resistors.
To find the resistance of the combination when three identical resistors are connected in series, we need to understand how resistors behave when connected in series and how total resistance is calculated.
When resistors are connected in series, their resistances add up. So, to calculate the total resistance of the combination, we can simply add the resistances of each resistor.
In this case, since all three resistors are identical, we can assume they all have the same resistance value, let's call it R.
Therefore, when three identical resistors are connected in series, the total resistance (RTotal) of the combination will be the sum of the resistance of each resistor, which is R + R + R.
Simplifying this expression, we get RTotal = 3R.
So, the resistance of the combination will be three times the resistance of any one of the resistors.