A 12 V DC source is applied to a series circuit containing a silicon diode and a 370 Ω resistor. Assuming normal forward conduction of the diode, what forward voltage drop should you expect across the diode?
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A0.3 V
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B0.7 V
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C0.9 V
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D1.4 V
Answer
Correct Answer: 0.7 V
Explanation
Introduction / Context:Silicon diodes exhibit a typical forward voltage drop around 0.6–0.8 V at moderate currents. Estimating this drop is essential for bias calculations and power budgeting in simple DC circuits.
Given Data / Assumptions:
- Supply: 12 V DC.
- Series elements: 370 Ω resistor and a silicon PN diode.
- Diode is forward-biased and operating at a modest current.
Concept / Approach:In first-order analysis, a conducting silicon diode is modeled with an approximately constant voltage drop V_f ≈ 0.7 V (temperature and current dependent). The exact drop can vary with current (Shockley equation), but 0.7 V is a standard design estimate for typical milliampere-to-tens-of-milliampere ranges.
Step-by-Step Solution (estimate):Assume V_f ≈ 0.7 V for silicon.Resistor drop ≈ 12 − 0.7 = 11.3 V.Current I ≈ 11.3 / 370 ≈ 30.5 mA, which is consistent with a ~0.7 V silicon drop.Therefore the expected diode drop is about 0.7 V.
Verification / Alternative check:Using diode IV characteristics, a current around 30 mA commonly corresponds to V_f in the 0.65–0.8 V range for many silicon signal diodes, validating the 0.7 V assumption.
Why Other Options Are Wrong:
- 0.3 V: Typical of germanium or very low-current Schottky diodes, not silicon PN.
- 0.9 V or 1.4 V: Higher than typical for a single silicon junction at this current; 1.4 V suggests two series junctions.
Common Pitfalls:
- Treating 0.7 V as exact; it varies with current and temperature.
- Ignoring resistor tolerance or supply variation; both slightly affect current and hence V_f.
Final Answer:0.7 V