The switch has been in position a for a long time when it is moved instantaneously to position b at time t = 0.  The values for the circuit are as follows: Vs = 96.0V, Ra = 12.0Ω, Rb = 15.0Ω, Rc = 60.0Ω, Rd = 4.00Ω, La= 50mH, Lb= 75mH. When the switch has been in position a for a long time, solve for the current in Rb. Solve for the current through the inductor immediately after the switch is moved to position b at t=0, and explain why. After the switch is in position b, solve for the time constant of the circuit. Solve for the current i(t) through Rd as a function of time, when t ≥ 0.

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The switch has been in position a for a long time when it is moved instantaneously to position b at time t = 0.  The values for the circuit are as follows:
Vs = 96.0V, Ra = 12.0Ω, Rb = 15.0Ω, Rc = 60.0Ω, Rd = 4.00Ω, La= 50mH, Lb= 75mH.

  1. When the switch has been in position a for a long time, solve for the current in Rb.
  2. Solve for the current through the inductor immediately after the switch is moved to position b at t=0, and explain why.
  3. After the switch is in position b, solve for the time constant of the circuit.
  4. Solve for the current i(t) through Rd as a function of time, when t ≥ 0.
Vs
+
R₁
Rb
M
Ro
а,
t=0
La
R₁
b
Transcribed Image Text:Vs + R₁ Rb M Ro а, t=0 La R₁ b
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