Use the differential equation for electric circuits given by L (dI/ dt) + RI + E. In this equation, I is the current, R is the resistance, L is the inductance, and E is the electromotive force (voltage). Find the equation for the current when I(0) = 0, E0 = 120 volts, R = 600 ohms, and L = 4 henrys. When does the current reach 90% of its limiting value?

Use the differential equation for electric circuits given by L (dI/ dt) + RI + E. In this equation, I is the current, R is the resistance, L is the inductance, and E is the electromotive force (voltage). Find the equation for the current when I(0) = 0, E0 = 120 volts, R = 600 ohms, and L = 4 henrys. When does the current reach 90% of its limiting value?

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Question

Use the differential equation for electric circuits given by

L (dI/ dt) + RI + E. In this equation, I is the current, R is the resistance, L is the inductance, and E is the electromotive force (voltage).

Find the equation for the current when I(0) = 0, E₀ = 120 volts, R = 600 ohms, and L = 4 henrys. When does the current reach 90% of its limiting value?

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