Figure P 8.3-7a shows astronaut Dale Gardner using the manned maneuvering unit to dock

Chapter 8, Problem P8.3-7

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QUESTION:

Figure P 8.3-7a shows astronaut Dale Gardner using the manned maneuvering unit to dock with the spinning Westar VI satellite on November 14, 1984. Gardner used a large tool called the apogee capture device (ACD) to stabilize the satellite and capture it for recovery, as shown in Figure P 8.3-7a. The ACD can be modeled by the circuit of Figure P 8.3-7b. Find the inductor current \(i_L\) for t > 0.

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QUESTION:

Figure P 8.3-7a shows astronaut Dale Gardner using the manned maneuvering unit to dock with the spinning Westar VI satellite on November 14, 1984. Gardner used a large tool called the apogee capture device (ACD) to stabilize the satellite and capture it for recovery, as shown in Figure P 8.3-7a. The ACD can be modeled by the circuit of Figure P 8.3-7b. Find the inductor current \(i_L\) for t > 0.

ANSWER:

Step 1 of 5

The given circuit is a first order circuit with one inductor. It has a two way switch with positions a) and b). The output of the circuit is current through the inductor which can be expressed as:

...(1)

The switch is in position a), and the inductor is at steady state. This means that it acts as a short circuit, and there is no voltage drop across it. The schematic for this case is given below.

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