Final answer:
Using Ohm's law, resistance is calculated by dividing the voltage by the current, first converting mA to A. With a current of 8.5 mA and voltage of 5.00 V, the resistance is approximately 588.24 Ω. Adding another resistor in series and assuming constant voltage, the resistance of each is 1000 Ω, and for 10 resistors in series, it's 10,000 Ω.
Step-by-step explanation:
Calculating Resistance in Electrical Circuits
To find the resistance in a circuit where the current is 8.5 mA (milliamps) and the voltage is 5.00 V, we use Ohm's law, which states that Voltage (V) = Current (I) × Resistance (R). To find the resistance, we rearrange the formula to R = V / I. First, we need to convert the current from milliamps to amps: 8.5 mA = 0.0085 A. Placing the values into the equation gives us R = 5.00 V / 0.0085 A, which equals approximately 588.24 Ω.
When adding another resistor R after the first and finding that 0.005 A flows through the circuit, we can calculate the resistance of R using the same formula, assuming that the voltage stays constant at 5.00 V. Therefore, R = 5.00 V / 0.005 A = 1000 Ω. If 10 resistors of resistance R are connected in series, their total resistance would be 10 × R, which is 10 × 1000 Ω = 10,000 Ω.