4. Which of these is an appropriate equation for the I3 loop? $16*(I3-I2) + 20*(I3-I1) + 60*I3 = 0$ $64j*(I3-I2) - 32j*I1 + 20*(I3-I1) + 60*I3 = 0$ $16*(I3-I2) - 8*I1 + 20*(I3-I1) + 60*I3 = 0$ $64j*I3 - 32j*I1 + 20*I3 + 60*I3 = 0$ $64j*(I3-I2) + 20*(I3-I1) + 60*I3 = 0$
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KVL states that the sum of voltages around any closed loop in a circuit is zero. Show more…
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18. Write a junction equation for the circuit. (A) I1 - I2 - I3 = 0 (B) I1 + I2 - I3 = 0 (C) I1 - I2 + I3 = 0 (D) I1 + I2 + I3 = 0 (E) -I1 + I2 - I3 = 0 19. Write a loop equation for the voltages around Loop I. Start with the voltage across the battery. (A) Îľ1 + I1R1 - I3R3 = 0 (B) -Îľ1 - I1R1 + I3R3 = 0 (C) Îľ1 - I1R1 + I3R3 = 0 (D) -Îľ1 + I3R3 + I1R1 = 0 (E) Îľ1 - I1R1 - I2R2 = 0 20. Write a loop equation for the voltages around Loop II. Start with the voltage across the battery. (A) Îľ2 + I3R3 + I2R2 = 0 (B) -Îľ2 + I1R1 - I2R2 = 0 (C) -Îľ2 - I3R3 - I2R2 = 0 (D) Îľ2 + I1R1 - I2R2 = 0 (E) Îľ2 - I2R2 - I3R3 = 0
Adi S.
A d.c. circuit comprises three closed loops. Applying Kirchhoff's laws to the closed loops gives the following equations for current flow in milliamperes: $$ \begin{aligned} 2 I_{1}+3 I_{2}-4 I_{3} &=26 \\ I_{1}-5 I_{2}-3 I_{3} &=-87 \\ -7 I_{1}+2 I_{2}+6 I_{3} &=12 \end{aligned} $$ Use the Gaussian elimination method to solve for $I_{1}, I_{2}$ and $I_{3}$
By using Kirchhoff's Laws, it can be shown that the currents $I_{1}, I_{2},$ and $I_{3}$ that pass through the three branches of the circuit in the figure satisfy the given linear system. Solve the system to find $I_{1}, I_{2},$ and $I_{3}$ $$\left\{\begin{aligned} I_{1}+I_{2}-I_{3} &=0 \\ 16 I_{1}-8 I_{2} &=4 \\ 8 I_{2}+4 I_{3} &=5 \end{aligned}\right.$$
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