Question

For the resistor shown below, the voltage is 3.5 volts and the current is 15.5 micro-amps (μA). Use Ohm’s law to calculate the resistance. Round your answer to the nearest kilo-ohm (kΩ). a) 225 kΩ b) 226 kΩ c) 227 kΩ d) 228 k

Answer 1

The resistance calculates to 225.80645 kΩ, and when rounded to the nearest kilo-ohm is 226 kΩ, as per Ohm's law.

The correct opiton is B.

Step-by-step explanation:

To calculate the resistance using Ohm's law, which states that V = IR (voltage equals current times resistance), we rearrange the equation to solve for resistance (R), which gives us R = V / I. Given a voltage of 3.5 volts and a current of 15.5 micro-amps (μA), we first need to convert micro-amps to amps by dividing by 1,000,000 (since 1A = 1,000,000μA). Then we plug the values into the formula:

R = 3.5 V / (15.5 μA / 1,000,000) = 3.5 V / 0.0000155 A = 225806.45 Ω

Since the question asks for the resistance in kilo-ohms (kΩ), we must divide the result by 1,000 (since 1 kΩ = 1,000 Ω). Thus:

R = 225806.45 Ω / 1,000 = 225.80645 kΩ

Rounded to the nearest kilo-ohm, the resistance is 226 kΩ, which corresponds with option b).