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Question:

Help with this inductor question?

Hi, can somebody please help me with this inductor problem? I'm stuck on it and need some help i think that I have the general idea, but need some guidance.The CKT:

Answer:

EL di/dt or i(1/L) integral(E dt). For your circuit you know di/dt since you know E and L. Therefore you can find i. Note that i may have an initial condition.
This is a step-value function and will need to be solved piece-wise. For t 0 to 5us: Since I (1/L) Vdt therefore:: I (1 / 2E-3) * 10V * 5us 500 * 10V * 5us 25mA For t 5us to 15us I (1 / 2E-3) * -10V * 10us 500 * -10V * 10us -50mA For t 15us to 20us I (1 / 2E-3) * 10V * 5us 500 * -10V * 5us 25mA The total current from t 0 thru t 20us 25mA -50mA +25mA 0 mA

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