The triangular current pulse shown in the provided figure is applied to a 500 mH inductor. A.) Use passive sign convention. Calculate the inductor energy in Joules at the interval t < 0. B.) 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. C.) 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. D.)
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Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).
The triangular current pulse shown in the provided figure is applied to a 500 mH inductor.
A.) Use passive sign convention. Calculate the inductor energy in Joules at the interval t < 0.
B.) 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.
C.) 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.
D.)
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