The correct equation for the voltage

Solved Step by Step With Explanation- Inductor Switch Analysis

Questions

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1 ΚΩ

(a) Calculate (t=0), immediately before the switch is closed, as if the inductor is a short circuit.

(2 points)

(f) The equation for the voltage could be of the form:

Vc(120) = (VH-V₁er+ V₁ or Vc(120) = (VH-V₁)(1 − e) + V₁ Choose the correct equation and insert your answers from the above steps. (3 points)

(a) Calculate I(0), immediately before the switch is closed, as if the inductor is a short circuit.

Before the switch is closed, the inductor can be considered as a short circuit. So, the circuit simplifies to a simple resistor and voltage source in series.

I(0) = 10mA

(b) From your answer to (a), calculate I(t=0+), immediately after the switch is closed.

I(t) = 10mA

(d) From your answers in (b) and (c), determine the values of V₁(1-0) and V(t).

V(t) is the voltage across the inductor, which remains constant at 10V throughout:

V(t) = 10V

(f) The equation for the voltage could be of the form:

Vc(t) = (VH - V₁) * (1 - e^(-t/τ)) + V₁

So, the correct equation for the voltage is:

Vc(t) = 10V - 10V * e^(-t/1μs)