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Part A Figure 30.2c (Figure 1) An R-L circuit is shown, with a 10- resistor and

ID: 1450368 • Letter: P

Question

Part A

Figure 30.2c

(Figure 1)



An R-L circuit is shown, with a 10- resistor and an ideal 32-H inductor, that has zero resistance. At time t = 0 s, there is a 12-A current in the circuit. In Fig. 30.2c, when the current is decreasing at the rate of 2.0 A/s, the time t is closest to:

Figure 30.2c



An R-L circuit is shown, with a 10-  resistor and an ideal 32-H inductor, that has zero resistance. At time t = 0 s, there is a 12-A current in the circuit. In Fig. 30.2c, when the current is decreasing at the rate of 2.0 A/s, the time t is closest to:

1.2 s 3.6 s 2.0 s 2.8 s 4.4 s

Explanation / Answer

Here,   I = Io * e(-tR/L)

=>    dI/dt = Io * (-R/L) * e(-tR/L)

=>    2 = 12 * (10/32) * e(-t10/32)

=>    0.533 =   e(-t10/32)

=>    t =    2.0 sec              ------------------>   the time t is closest