For the current loops shown in the figure, Kirchhoff's loop rule for the loops A H D C B A and AHDEFGA yields these equations respectively

Question

For the current loops shown in the figure, Kirchhoff's loop rule for the loops A H D C B A and AHDEFGA yields these equations respectively (A) -30 I1-41 I3+45=0 and -30 I1+21 I2-80=0 (B) 30 I1-41 I3+45=0 and 30 I1-21 I2-80=0 (C) 30 I1+41 I3-45=0 and -30 I1+21 I2+80=0 (D) None of the above

Tardigrade Admin · Accepted Answer

Applying Kirchhoff's loop rule for the closed loop

A HD CB A

- 30 I_{1} - 45 - 40 I_{3} - I_{3} = 0

- 30 I_{1} - 45 - 41 I_{3} = 0

Applying Kirchhoff's loop rule for closed loop AHDEFGA

- 30 I_{1} + 20 I_{2} + I_{2} - 80 = 0

- 30 I_{1} + 21 I_{2} - 80 = 0

Q. For the current loops shown in the figure, Kirchhoff's loop rule for the loops $A HD CB A$ and AHDEFGA yields these equations respectively

$- 30 I_{1} - 41 I_{3} + 45 = 0$ and $- 30 I_{1} + 21 I_{2} - 80 = 0$

$30 I_{1} - 41 I_{3} + 45 = 0$ and $30 I_{1} - 21 I_{2} - 80 = 0$

$30 I_{1} + 41 I_{3} - 45 = 0$ and $- 30 I_{1} + 21 I_{2} + 80 = 0$

None of the above

Applying Kirchhoff's loop rule for the closed loop $A HD CB A$

$- 30 I_{1} - 45 - 40 I_{3} - I_{3} = 0$
$- 30 I_{1} - 45 - 41 I_{3} = 0$
Applying Kirchhoff's loop rule for closed loop AHDEFGA
$- 30 I_{1} + 20 I_{2} + I_{2} - 80 = 0$
$- 30 I_{1} + 21 I_{2} - 80 = 0$

Q. For the current loops shown in the figure, Kirchhoff's loop rule for the loops AHDCBA and AHDEFGA yields these equations respectively

−30I1​−41I3​+45=0 and −30I1​+21I2​−80=0

30I1​−41I3​+45=0 and 30I1​−21I2​−80=0

30I1​+41I3​−45=0 and −30I1​+21I2​+80=0