Final answer:
The discharge current behavior through a resistor decreases exponentially, following the equation V = Vo*e^-t/RC, confirming A) Exponential Decay as the correct answer.
Step-by-step explanation:
The behavior of the discharge current of a capacitor through a resistor described in the question is an example of exponential decay. The current decreases to 22.0% of its initial value in 2.10 ms, falling by a factor of 0.368, which indicates that it is an exponential process.
This behavior is consistent with the formula V = Vo*e-t/RC, where V is the voltage across the capacitor at time t, Vo is the initial voltage, R is the resistance, C is the capacitance, and e is the base of the natural logarithm. The time constant of this decay is denoted by T and is equal to the product of the resistance and the capacitance (T = RC). Thus, A) Exponential Decay is the correct answer to the student's question.
The discharge of a capacitor through a resistor is an example of exponential decay. In this case, the discharge current decreases exponentially over time. The time constant, represented by the product of the resistance (R) and the capacitance (C), determines the rate at which the discharge occurs.