Solution:
Given that,
10 H inductor and a 200 ohm resistor connected in series
To find: time constant
The time constant in seconds is given as:
[tex]Time\ constant = \frac{L}{R}[/tex]
Where,
L is the inductance in henry and R is the resistance in ohms
[tex]Time\ constant = \frac{10}{200}\\\\Time\ constant = 0.05\ seconds[/tex]
Convert to millisecond
1 second = 1000 millisecond
0.05 second = 0.05 x 1000 = 50 millisecond
Thus time constant is 50 millisecond