Differential Equations Involving LR and RC Series Circuits

1. A 30-volt electromotive force is applied to an LR series circuit in which the inductance is 0.1 henry and the resistance is 50 ohms. Find the current i(t) if i(0)=0. Determine the current as t→∞.

2. A 100-volt electromotive force is applied to an RC series circuit in which the resistance is 200 ohms and the capacitance is 10^(–4) farad. Find the charge q(t) on the capacitor if q(0)=0. Find the current i(t).

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Differential Equations Involving LR and RC Series Circuits

1. A 30-volt electromotive force is applied to an LR series circuit in which the inductance is 0.1 henry and the resistance is 50 ohms. Find the current i(t) if i(0)=0. Determine the current as t→∞.

2. A 100-volt electromotive force is applied to an RC series circuit in which the resistance is 200 ohms and the capacitance is 10^(–4) farad. Find the charge q(t) on the capacitor if q(0)=0. Find the current i(t).

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Differential Equations Involving LR and RC Series Circuits

1. A 30-volt electromotive force is applied to an LR series circuit in which the inductance is 0.1 henry and the resistance is 50 ohms. Find the current i(t) if i(0)=0. Determine the current as t→∞.

2. A 100-volt electromotive force is applied to an RC series circuit in which the resistance is 200 ohms and the capacitance is 10^(–4) farad. Find the charge q(t) on the capacitor if q(0)=0. Find the current i(t).