Asked by Kamren Ebanks on Sep 26, 2024
Verified
A coil has an inductance of 3 H and a wire resistance of 15 Ω . How long will it take for the current to reach its full value?
A) 45 seconds
B) 0.2 seconds
C) 1.0 seconds
D) 25 seconds
Inductance
The property of an electrical conductor by which a change in current flowing through it induces an electromotive force in both the conductor itself and in any nearby conductors by mutual inductance.
Wire Resistance
The electrical resistance of a wire, determined by its material, length, and cross-sectional area, affecting the flow of electric current through it.
- Gain an understanding of time constants and their crucial importance in the context of inductor charging and discharging cycles.
Verified Answer
SH
Sajjad Hossain 181-11-57521 day ago
Final Answer :
C
Explanation :
The time constant of an inductor (τ) is given by τ = L/R, where L is the inductance in Henrys and R is the resistance in Ohms. Plugging in the given values, τ = 3H / 15Ω = 0.2 seconds. The current reaches its full value in about 5 time constants, which is 5 * 0.2 = 1.0 seconds.
Learning Objectives
- Gain an understanding of time constants and their crucial importance in the context of inductor charging and discharging cycles.