Numerical Analysis

Onupoma Islam

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Joined
Aug 31, 2020
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An inductor and a nonlinear resistor with resistance 𝑅 = 500 + 250𝐼^2 Ξ© are connected in
series with a DC power source and a switch, The switch is initially
open and then is closed at time 𝑑 = 0. The current 𝐼 in the circuit for 𝑑 > 0 is determined from
the solution of the equation:
𝑑𝐼/𝑑𝑑 =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 ≀ 𝑑 ≀ 0.1 𝑠
 

Subhotosh Khan

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Joined
Jun 18, 2007
Messages
23,387
An inductor and a nonlinear resistor with resistance 𝑅 = 500 + 250𝐼^2 Ξ© are connected in
series with a DC power source and a switch, The switch is initially
open and then is closed at time 𝑑 = 0. The current 𝐼 in the circuit for 𝑑 > 0 is determined from
the solution of the equation:
𝑑𝐼/𝑑𝑑 =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 ≀ 𝑑 ≀ 0.1 𝑠
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