Numerical Analysis

[Onupoma Islam]

An inductor and a nonlinear resistor with resistance 𝑅 = 500 + 250𝐼^2 Ω are connected in
series with a DC power source and a switch, The switch is initially
open and then is closed at time 𝑡 = 0. The current 𝐼 in the circuit for 𝑡 > 0 is determined from
the solution of the equation:
𝑑𝐼/𝑑𝑡 =𝑉o/𝐿 - (𝑅 /𝐿)*𝐼
For 𝑉0 = 500 𝑉 and 𝐿 = 15 Henries, using classical Runga Kutta method (fourth order R-K
method), determine the current as a function of time for 0 ≤ 𝑡 ≤ 0.1 𝑠

 

[Subhotosh Khan]

An inductor and a nonlinear resistor with resistance 𝑅 = 500 + 250𝐼^2 Ω are connected in
series with a DC power source and a switch, The switch is initially
open and then is closed at time 𝑡 = 0. The current 𝐼 in the circuit for 𝑡 > 0 is determined from
the solution of the equation:
𝑑𝐼/𝑑𝑡 =𝑉o/𝐿 - (𝑅 /𝐿)*𝐼
For 𝑉0 = 500 𝑉 and 𝐿 = 15 Henries, using classical Runga Kutta method (fourth order R-K
method), determine the current as a function of time for 0 ≤ 𝑡 ≤ 0.1 𝑠

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