A coil of inductance 300mH and resistance 2Ω is connected to a source of voltage 2v. The current reaches half of its steady-state value in____seconds.
Step 1: Given
Resistance, R= 2Ω
Step 2: Use the formula of growth of current
Formula for the growth of current in inductor,
Also, because the time requires is for the half of current steady-state value.
taking log on both sides-
Step 3: Calculate the time to reach half of its steady-state value
Thus, the time to reach half of its steady-state value is .
Hence, Option A is correct.