Question

A circuit is constructed with four resistors, one inductor, one battery and a switch as shown. The values for the resistors are: R1 - R-410, R3 - 700 and Ry - 145 . The inductance is L-200 mH and the battery voltage is V-12 V. The positive terminal of the battery is indicated with a + sign. WW11 R L v The switch has been open for a long time when at time t - 0, the switch is closed. What is 44(0), the magnitude of the current through the resistor Rjust after the switch is closed? Art You currently have 0 submissions for this question. Only 5 submission are allowed. You can make 5 more submissions for this question. What is (-), the magnitude of the current through the resistor RA after the switch has been closed for a very long time? A Butt You currently have 0 submissions for this question. Only 5 submission are allowed. You can make 5 more submissions for this question. What is I(-), the magnitude of the current through the inductor after the switch has been closed for a very long time? A utent You currently have 0 submissions for this question. Only 5 submission are allowed. You can make 5 more submissions for this question. "After the switch has been closed for a very long time, it is then opened. What is Iz(topen), the current through the resistor Ry at a time topen - 3.6 ms after the switch was opened? The positive direction for the current is indicated in the figure. A You currently have 0 submissions for this question. Only 5 submission are allowed. You can make 5 more submissions for this question. What is V.max(closed), the magnitude of the maximum voltage across the inductor during the time when the switch is closed? VSA You currently have 0 submissions for this question. Only 5 submission are allowed. You can make 5 more submissions for this question. "What is VL.max (open), the magnitude of the maximum voltage across the inductor during the time when the switch is open? V You currently have 0 submissions for this question. Only 5 submission are allowed.

Answer 1

1)

R1, R3, R4 in series

so,

R = 41 + 70 + 145 = 256 ohms

so,

I = V / R

I = 12 / 256

I = 0.046875 A

____________

2)

R2 , R3 in parallel and this is in series with R1 and R4

so,

1/R23 = 1/41 + 1/70

R23 = 25.85 ohms

so,

R = 41 + 25.85 + 145 = 211.85 ohms

so,

I = 0.05664 A

______________

3)

voltage across R2

V2 = 0.05664 * 25.85 = 1.464 V

so,

I2 = V2 / R2

I2 = 0.0357 A

_____________

4)

I = I_max e^{-tR / L}

where

R = 41 + 70 = 111 ohms

so,

I = 0.0357 e^{-3.6e-3 * 111 / 200e-3}

I = - 0.004841 A

______________

5)

V_L = 0.0357 * 111

V_L = 3.96 V

_____________

6)

voltage across R2 = 0

V ( R3) = V (L) = I * R3

V = 0.046875 * 70

V = 3.281 V