Consider a series circuit consisting of a resistor of R ohms, an inductor of L henries, and variable voltage source of V(t) volts (time t in seconds). The current through the circuit I(t) (in amperes) satisfies the differential equation: dI R1 = V(t) dt L L Find the solution to this equation with the initial condition I(0) = 0, assuming that R = 130, L = 5 H, and V(t) is constant with V(t) = 10 V. I(t)= 9. +

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Consider a series circuit consisting of a resistor of R ohms, an inductor of L henries, and variable voltage source of V(t) volts (time t in seconds). The
current through the circuit I(t) (in amperes) satisfies the differential equation:
dI
21= V(t)
dt
L
Find the solution to this equation with the initial condition I(0) = 0, assuming that R= 130, L = 5 H, and V(t) is constant with V(t) = 10 V.
I(t) =
9-
+
Transcribed Image Text:Consider a series circuit consisting of a resistor of R ohms, an inductor of L henries, and variable voltage source of V(t) volts (time t in seconds). The current through the circuit I(t) (in amperes) satisfies the differential equation: dI 21= V(t) dt L Find the solution to this equation with the initial condition I(0) = 0, assuming that R= 130, L = 5 H, and V(t) is constant with V(t) = 10 V. I(t) = 9- +
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