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11 Jun 2020
Electric Circuit The diagram shows a simple electric circuit consisting of a power source, a
resistor, and an inductor.
A model of the current I, in amperes (A) at time t is given by the first-order differential equation
where E(t) is the voltage (V) produced by the power source, R is the resistance, in ohms 
is the inductance, in henrys (H). Suppose the electric circuit consists of a 24-V power source, a
12- resistor, and a 4-H inductor.
(a) Sketch a slope field for the differential equation.
(b) What is the limiting value of the current? Explain.
Electric Circuit The diagram shows a simple electric circuit consisting of a power source, a
resistor, and an inductor.
A model of the current I, in amperes (A) at time t is given by the first-order differential equation
where E(t) is the voltage (V) produced by the power source, R is the resistance, in ohms 
is the inductance, in henrys (H). Suppose the electric circuit consists of a 24-V power source, a
12- resistor, and a 4-H inductor.
(a) Sketch a slope field for the differential equation.
(b) What is the limiting value of the current? Explain.
Joram GuingguingLv10
17 Jun 2020
