With a 10 H inductive coil abruptly hooked up to a 200 V DC source, what is the initial current growth rate__________Vs
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Answer: B. 20
Explanation
The initial rate of current growth in an inductor connected to a DC source is calculated as V/L. Dividing the source voltage of 200 volts by the inductance of 10 henries yields 20 amperes per second. This formula derives directly from the fundamental governing differential equation for inductive circuits. Inductors oppose sudden changes in electrical current by generating an opposing back electromotive force. When first connected to a DC source, current starts at zero and rises exponentially over time constants. The initial slope of this exponential growth curve is strictly determined by the applied voltage and inductance.
Circuit protection engineers analyze initial current rates to prevent overvoltage spikes during switching events. Inductive loads in power systems require discharge paths to safely dissipate stored magnetic energy. Understanding transient responses is crucial for designing reliable relay coils and DC motor starters. 50 represents an incorrect mathematical calculation resulting from wrong voltage or inductance values. 20 is the correct numerical result derived from dividing 200 by 10 according to formula rules. 0.05 is an incorrect value obtained by inverting the proper ratio of voltage to inductance.
- Subject
- Engineering
- Category
- Electrical Engineering
- Topic
- —
- Difficulty
- medium
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