Find /(r) for the electrical circuit in Exercise 27 if R = 62, L = 3 H, V(?) = 3 sin: V, and /(0) = 15 A. 27. The accompanying figure is a schematic diagram of a ba- sic RL series electrical circuit that contains a power source with a time-dependent voltage of V(t) volts (V), a resistor with a constant resistance of R ohms (2), and an inductor with a constant inductance of L henrys (H). If you don't know anything about electrical cirecuits, don't worry; all you need to know is that electrical theory states that a current of I(t) amperes (A) flows through the circuit where I1) satisfies the differential equation L + RI = VG) R ww

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Find I(t) for the electrical circuit in Exercise 27 if R = 62,
|L= 3 H, V(t) = 3 sin V, and /(0) = 15 A.
%3D
27. The accompanying figure is a schematic diagram of a ba-
sic RL series electrical circuit that contains a power
source with a time-dependent voltage of V(t) volts (V),
a resistor with a constant resistance of R ohms (2), and an
inductor with a constant inductance of L henrys (H). If you
don't know anything about electrical circuits, don't worry;
all you need to know is that electrical theory states that a
current of I(1) amperes (A) flows through the circuit where
11) satisfies the differential equation
+ RI = V(1)
R
Figure Ex-27
Transcribed Image Text:Find I(t) for the electrical circuit in Exercise 27 if R = 62, |L= 3 H, V(t) = 3 sin V, and /(0) = 15 A. %3D 27. The accompanying figure is a schematic diagram of a ba- sic RL series electrical circuit that contains a power source with a time-dependent voltage of V(t) volts (V), a resistor with a constant resistance of R ohms (2), and an inductor with a constant inductance of L henrys (H). If you don't know anything about electrical circuits, don't worry; all you need to know is that electrical theory states that a current of I(1) amperes (A) flows through the circuit where 11) satisfies the differential equation + RI = V(1) R Figure Ex-27
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