Question 4 Figure 1 shows an electric circuit that can be represented by a system of differential equations. R2 la L E R1 FIGURE 1. Electric circuit If I, and I. describe the currents of the circuit, by Kirchhoff's first law, we can write Ia (t) = I½ (t) +Ic (1). Applying the Kirchhoff's second law, show that the system of differential equa- tions is (a) dl, L dt dle +L + R¡lh = E (t), dt dle +R2 dt 1 +-l = 0. dl, -R dt

Delmar's Standard Textbook Of Electricity
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Question 4
Figure 1 shows an electric circuit that can be represented by a system of differential
equations.
R2
la L
E
R1
FIGURE 1. Electric circuit
If I, and I. describe the currents of the circuit, by Kirchhoff's first law, we can write
la (t) = I, (t) +Ic (t).
Applying the Kirchhoff's second law, show that the system of differential equa-
tions is
(а)
dle
dlp
+L
dt
+Rl, = E (t),
L
dt
1
I = 0.
dlp
dle
-RI
+R2
dt
dt
Transcribed Image Text:Question 4 Figure 1 shows an electric circuit that can be represented by a system of differential equations. R2 la L E R1 FIGURE 1. Electric circuit If I, and I. describe the currents of the circuit, by Kirchhoff's first law, we can write la (t) = I, (t) +Ic (t). Applying the Kirchhoff's second law, show that the system of differential equa- tions is (а) dle dlp +L dt +Rl, = E (t), L dt 1 I = 0. dlp dle -RI +R2 dt dt
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