Final answer:
The resistance of the coil can be calculated using Ohm's Law, with the formula R = V / I. Given the current of 50 mA (0.050 A) and a voltage of 12 V, the resistance is calculated to be 240 Ω.
Step-by-step explanation:
The student is asking how to calculate the resistance of a coil when a current of 50 mA flows through it due to an applied voltage of 12 V. This is a physics problem dealing with Ohm's Law, which is a fundamental principle governing the behavior of electrical circuits. The formula for Ohm's Law is V = IR, where V is the voltage across the resistor, I is the current through the resistor, and R is the resistance.
To find the resistance R, we rearrange the formula to R = V / I. Inserting the given values, we get R = 12 V / 0.050 A (since 50 mA is equal to 0.050 A). Therefore, the resistance is 240 ohms, which corresponds to option a. So, the correct answer is 240 Ω.