Determine the total inductance of each circuit in figure 114

Determine the total inductance of each circuit in figure 11-42 Determine the time constant for each of the following series RL combinations: R = 100 omega, L = 100 mu H R = 4.7 k omega, L = 10 m H R =1.5 k omega, L= 3 m H In a series RL circuit, determine how long it takes the current to build up to its full value for each of the following: R=56 omega, L = 50 mu H R = 3300 omega, L = 15 m H R = 22 k omega, L = 100 m H In the circuit of Figure 11-43, there is initially no current. Determine the inductor voltage at the following times after the switch is closed: 10 mu s 20 mu s 30 mu s 40 mu s 50 mu s In Figure 11-44, calculate the current at each of the following times, Assume an ideal inductor and voltage source 10 mu s 20 mu s 30 mu s

Solution

13. Time constant of RL circuit

T = L/R

a) T = (100 * 10^-6)/100 = 1 us

b) T = (10 * 10^-3)/4.7 * 10³ = 2.12 us

c) T = 3* 10^-3/1.5 * 10³ = 2us

14. The time required for the current flowing in the series RL circuit to reach its full value equivalent to about 5 time constants or 5T or 5L/R.

a) T1 = 5*L/R = 5 * 50 * 10^-6/56 = 4.46 us

b) T2 =(5*15* 10^-3 )/3300 = 22.72 us

c) T3 = (5*100*10^-3 )/22*10³ = 22.72 us