Vs = 28V . Assume that the switch closed at t = 0. Find the current flow through

Question

Vs = 28V . Assume that the switch closed at t = 0. Find the current flow through the resistor of 200 Ohm at t = 0.(Figure 1) Express your answer to two significant figures and include the appropriate units. Find the current flow through the resistor of 300 Ohm at t = 0. Express your answer to two significant figures and include the appropriate units. Find the current flow through the resistor of 200 Ohm at t rightarrow infinity· Express your answer to two significant figures and include the appropriate units. Find the current flow through the resistor of 300 Ohm at t rightarrow infinity·

Explanation / Answer

a)
the Req=200||300=120 ohm
=>Vs-Vl=iReq
=>28+L i'=120 i
=>28-120i = -.04 i'
=>di/((7/30) -i)=-28/.04 dt
=>ln((7/30)-i)=-700t+c
at t=0
i=0
=>c=ln(7/30)
=>ln((7/30)-i/(7/30))=-700t
=> i=(7/30)(1-e^(-700t)) A
i through 200 ohm =.6*7/30 (1-e^(-700t))
i through 300 ohm=.4*7/30* (1-e^(-700t))
at t=0
i through 200 ohm =0 A
i through 300 ohm=0 A
at t->

i through 200 ohm =.6*7/30=.14 A
i through 300 ohm=0.4*7/30=.09A

Related Questions

Navigate

• Browse (All)
• Browse V
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.