Could somebody help my effort at calculating inductor current for a given time, please?

The current (𝑖_𝐿) through a 100mH inductor (L) has a relationship with time (t). Determine the inductor current when the time is 0.75 seconds - i_L = 1/L∫cos(300t) dt

Inductor current (iL)when the time is 0.75 seconds

L= 100x10^-3

Cos(at)=1/a sin(300t)

1/300 sin(225)

1/300=3.333333333x10^-3

sin(225)=-0.930094878

Multiply both answers to :

-3.10031626x10^-3

Do I now need to multiply by 1/L answer? For my final result? Or am I way off with this?

The current (𝑖_𝐿) through a 100mH inductor (L) has a relationship with time (t). Determine the inductor current when the time is 0.75 seconds - i_L = 1/L∫cos(300t) dt

Inductor current (iL)when the time is 0.75 seconds

L= 100x10^-3

Cos(at)=1/a sin(300t)

1/300 sin(225)

1/300=3.333333333x10^-3

sin(225)=-0.930094878

Multiply both answers to :

-3.10031626x10^-3

Do I now need to multiply by 1/L answer? For my final result? Or am I way off with this?

Original post by Palmer17

Could somebody help my effort at calculating inductor current for a given time, please?

The current (𝑖_𝐿) through a 100mH inductor (L) has a relationship with time (t). Determine the inductor current when the time is 0.75 seconds - i_L = 1/L∫cos(300t) dt

The current (𝑖_𝐿) through a 100mH inductor (L) has a relationship with time (t). Determine the inductor current when the time is 0.75 seconds - i_L = 1/L∫cos(300t) dt

Just to check before anyone else tries to help, is that supposed to be $i_L = \dfrac{1}{L} \int \cos(300t) dt$ or something else?

Original post by Palmer17

1/L = 1/0.1 = 10

10 x -3.10031626 = -0.0310031626

Is where I am upto now is this correct?

10 x -3.10031626 = -0.0310031626

Is where I am upto now is this correct?

That's not right, is it? Have you missed off the power of 10 ?

Original post by davros

That's not right, is it? Have you missed off the power of 10 ?

Which power of 10 and to where?

Original post by Palmer17

Which power of 10 and to where?

well 10 x -3.1 is -31 isn't it? Look back at your earlier posts - you had another multiplier in there

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