Why a bulb glow dimmer in beginning and then brighter

[amaresh92]

Homework Statement

greetings
why a bulb glow dimmer in beginning and then brighter when it is connected to a inductor?

 

[I_am_learning]

Because, inductor won't let current to switch instantaneously, i.e., it will make current rise slowly to its final value.
If you work out the math by assuming that the rate at which inductor let's current to rise is proportional to voltage across it, i.e. dI/dt = (1/L) V, then applying KVL, you will come to a differential equation.
Solving the differential equation, you will get expression for current, i.e. current as a function of time, I(t), which will give you all the information you need.

 

[amaresh92]

Because, inductor won't let current to switch instantaneously, i.e., it will make current rise slowly to its final value.
If you work out the math by assuming that the rate at which inductor let's current to rise is proportional to voltage across it, i.e. dI/dt = (1/L) V, then applying KVL, you will come to a differential equation.
Solving the differential equation, you will get expression for current, i.e. current as a function of time, I(t), which will give you all the information you need.

what will be the maximum value of votage or current?

 

[I_am_learning]

The maximum value which is the final steady state value will be equivalent to what will be obtained if you remove the inductor and join with wire.