Question

What is the characteristic time constant of a 25.0 mH inductor with a resistance of 4.00 Ω?

a) 0.025 s
b) 0.1 s
c) 0.2 s
d) 0.4 s

Answer 1

The characteristic time constant τ for a 25.0 mH inductor with a 4.00 Ω resistance is calculated using the formula T = L/R. The result is 0.00625 s or 6.25 ms, which does not match the given options.

Step-by-step explanation:

The characteristic time constant of an RL circuit is determined by the formula T = L/R, where L is the inductance in henrys (H) and R is the resistance in ohms (Ω).

For a 25.0 mH (0.025 H) inductor with a resistance of 4.00 Ω,

τ = L/R = 0.025 H / 4.00 Ω = 0.00625 s or 6.25 ms.

The closest answer to 6.25 ms is 0.00625 s.