The current (in amperes) at time t (in seconds) flowing in the circuit in Figure 20 is given by Kirchhoff ’s Law:

i(t) = Cν'(t) + R⁻¹ν(t)

where ν(t) is the voltage (in volts, V), C the capacitance (in farads, F), and R the resistance (in ohms, Ω).

Calculate the current at t = 3 if

ν(t) = 0.5t + 4 V

where C = 0.01 F and R = 100 Ω.

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