The triangular current pulse shown in the provided figure is applied to a 500 mH inductor. 1. Use passive sign convention. Derive the expression for the inductor energy in Joules at the interval 0 ≤ t...

The triangular current pulse shown in the provided figure is applied to a 500 mH inductor.

1. Use passive sign convention. Derive the expression for the inductor energy in Joules at the interval 0 ≤ t ≤ 25 ms in the form w = At^2 + Bt + C Joules, where ^2 refers to "to the power of 2". Provide the value of A in the equation.

2. Derive the expression for the inductor energy in Joules at the interval 25 ms ≤ t ≤ 50 ms in the form w = At^2 + Bt + C Joules, where ^2 refers to "to the power of 2". Provide the value of B in the equation.

3.