Final answer:
The statement about all resistors being 10 kilo ohms in a circuit board is crucial for determining the circuit's behavior under voltage. Equivalent resistance and Ohm's law are used to ascertain the current. The final resistance impacts current and depends on whether resistors are in series or parallel.
Step-by-step explanation:
In the context of a circuit board, the statement that 'all resistors are 10 kilo ohms' refers to the resistance value of each individual resistor. Understanding the equivalent resistance in a circuit is crucial for determining how the circuit behaves when a voltage is applied. Ohm's law, which states that I = V/R (where I is the current, V is the voltage, and R is the resistance), is used to calculate the current flowing through a circuit. The total resistance will further determine the current based on whether resistors are arranged in series or in parallel.
For instance, if the resistors are in series, the total resistance is just the sum of all resistance values. In a parallel configuration, the equivalent resistance can be calculated using the formula 1/Requiv = (1/R1) + (1/R2) + ... + (1/Rn), where R1, R2, ..., Rn are the resistance values of the individual resistors. Therefore, if you have 10 resistors of 10 kilo ohms each in parallel, the equivalent resistance would be 1 kilo ohm.