An LCR circuit consists of a resistor R (having resistance R measured in ohms), a capacitor C (having capacitance C measured in farads), and an inductor L (having inductance L measured in henries) and connected in a series together with an electromotive force (such as a battery or generator) E (measured in volts V).By Kirchhoff's law, the current i (measured in amperes) satisfies the differential equation L + Ri + = E(t).
Let L = 10 henries, R = 0 ohms, C = 0.1 farad, and E(t) = 20 cos(t).

Determine the current i at any time t ≥ 0 if the current is zero at t = 0.

Question

An LCR circuit consists of a resistor R (having resistance R measured in ohms), a capacitor C (having capacitance C measured in farads), and an inductor L (having inductance L measured in henries) and connected in a series together with an electromotive force (such as a battery or generator) E (measured in volts V).By Kirchhoff's law, the current i (measured in amperes) satisfies the differential equation L  + Ri +   = E(t).
Let L = 10 henries, R = 0 ohms, C = 0.1 farad, and E(t) = 20 cos(t).

Determine the current i at any time t ≥ 0 if the current is zero at t = 0.

Quizplus · Accepted Answer

The Answer of An LCR circuit consists of a resistor R (having resistance R measured in ohms), a capacitor C (having capacitance C measured in farads), and an inductor L (having inductance L measured in henries) and connected in a series together with an electromotive force (such as a battery or generator) E (measured in volts V).By Kirchhoff's law, the current i (measured in amperes) satisfies the differential equation L  + Ri +   = E(t).
Let L = 10 henries, R = 0 ohms, C = 0.1 farad, and E(t) = 20 cos(t).

Determine the current i at any time t ≥ 0 if the current is zero at t = 0.

An LCR Circuit Consists of a Resistor R (Having Resistance