Question

In a series RL circuit, determine the time it will take for current to build to full value after a switch is closed for each of the following combinations.

(a) R=220Ω,L=100mH
(b) R=5.6kΩ,L=470μH

Answer 1

In a series RL circuit, the time it takes for the current to build to full value after a switch is closed can be determined using the time constant formula, T = L/R. For each combination provided, the time constants can be calculated as follows: (a) T = 0.4545 s and (b) T = 0.0839 s.

Step-by-step explanation:

In a series RL circuit, the time it takes for the current to build to full value after a switch is closed can be determined using the time constant formula, T = L/R, where T is the time constant, L is the inductance, and R is the resistance.

For (a) R=220Ω, L=100mH, the time constant would be T = (100mH)/(220Ω) = 0.4545 s.

For (b) R=5.6kΩ, L=470μH, the time constant would be T = (470μH)/(5.6kΩ) = 0.0839 s.