Difficulty: Easy
Correct Answer: 1.7 mA
Explanation:
Introduction / Context:
Ohm’s law directly relates voltage, current, and resistance in a simple resistive load. When a coil produces an induced voltage and a resistor is connected across its terminals, the resulting current is set by I = V / R (ignoring coil resistance for this calculation, as typical in such questions).
Given Data / Assumptions:
Concept / Approach:
Apply Ohm’s law: I = V / R. Be careful with milli- prefixes to avoid unit mistakes. The answer will be in amperes; convert to milliamperes for a convenient final value.
Step-by-Step Solution:
Verification / Alternative check:
Reverse check: V = I * R ≈ 1.7 mA * 120 Ω = 0.204 V (rounding explains slight difference), consistent with the given voltage.
Why Other Options Are Wrong:
120 mA would require 14.4 V across 120 Ω. 16 mA and 12 mA correspond to 1.92 V and 1.44 V, respectively—far larger than 0.2 V. 0.17 mA is off by a factor of 10 due to unit slip.
Common Pitfalls:
Not converting millivolts to volts, or misreading 200 mV as 2 V or 0.02 V. Always convert before dividing.
Final Answer:
1.7 mA
Discussion & Comments