Questions: Multiple Choice Question The plot shown in the given figure is the natural response of an O RC circuit O RL circuit O LC circuit O RLC circuit

Multiple Choice Question The plot shown in the given figure is the natural response of an

O RC circuit O RL circuit O LC circuit O RLC circuit

Transcript text: Multiple Choice Question The plot shown in the given figure is the natural response of an $\qquad$ O RC circuit O RL circuit O $L C$ circuit O $R L C$ circuit

Solution

Solution Steps

Step 1: Identify the given plot

The plot shows an exponential decay of current $ i(t) $ over time $ t $, starting from an initial value $ I_0 $ and decaying to $ 0.368I_0 $ at time $ \tau $.

Step 2: Recognize the characteristic equation

The equation $ I_0 e^{-t/\tau} $ represents the natural response of the system, which is typical for first-order circuits.

Step 3: Determine the type of circuit

First-order circuits that exhibit an exponential decay response are either RC (Resistor-Capacitor) or RL (Resistor-Inductor) circuits. Given the options, the correct answer is an RL circuit, as the plot shows the current decay, which is characteristic of an RL circuit's natural response.