How a proto-typical rc-circuit responds to the ramp-like, Mathematics

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How a proto-typical rc-circuit responds to the ramp-like

The general IVP, corresponding to an RC-circuit with external voltage v(t) is

1139_External Voltage.jpg

where R, C, i₀, i₁ ∈ R. Let's see how a proto-typical RC-circuit responds to the ramp-like input!

a. Let v(t) = t², R = C = 1 and i₀ = 0. Derive the IVP for RC-circuit. Solve the IVP. You will need to used IBP.

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Mathematics: How a proto-typical rc-circuit responds to the ramp-like

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Mathematics: How a proto-typical rc-circuit responds to the ramp-like

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