Engineering Full bridge circuit with inductor and resistor

[PhysicsTest]

Homework Statement

Calculation of the inductor current in full bridge circuit

Relevant Equations

Impedance, X = R + jwL

The above is the circuit i am calculating the inductor current.
During the positive half of the sine input D1 and D3 are conducting so the circuit becomes

My calculations are as below

Are the above equations ok? When transitioning from +Ve cycle to -Ve sine wave does the above equations still applicable? During the negative cycle the diodes D2 and D4 are conducting and the current direction is going into the inductor same as when diodes D1 and D3 are conducting. According to me the same equations can be used, but few doubts are when does the time constant L/R comes into picture and is it part of the above equation or it has to be treated separately and solved? And also the inductor current cannot change immediately where does that happen?

 

[Baluncore]

The first approximation is that the diodes have zero forward voltage, that inductor current is limited by the resistance, and that the average voltage across the inductor will be zero.

The spectrum of the rectified voltage will have a fundamental at twice the supply frequency, with significant harmonics. The impedance of R and L in series, will limit the inductor current.

And also the inductor current cannot change immediately where does that happen?

The R is the load. The L is probably there to smooth the continuous current through the load. Compare XL to R to determine the magnitude of that effect.

 

[DaveE]

The rectified sine wave source makes a closed form solution really messy, and honestly not very useful compared to approximations, as @Baluncore suggests. This is one of the few examples where I think simulators are good for understanding simple circuits. I guess I'd use Laplace transforms if I HAD to solve it. Even then I'd use a computer; there's no way I'm inverting the result by hand.

https://www.tutorialspoint.com/sign...e_laplace_transform_of_rectifier_function.htm