The voltage in an electric cricuit are related by
following equation vit V2 +V3 = 9,V1-V2+13=3
and viV2'-V3=Find v1,
V2, and V3.
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Answer:
The voltage in an electric circuit are related by following equations : V1+V2+V3=9;V1−V2+V3=1findV1,V2andV3byusingcramer′srule.
Solution:
D=∣∣∣∣1111−1111−1∣∣∣∣
=1(1-1)-1(-1-1)+1(1+1)= 4
DV1=∣∣∣∣9311−1111−1∣∣∣∣
= 9(1-1)-1(-3-1)+1(3+1) = 8
V1=DV1D=84=2
DV2=∣∣∣∣11193111−1∣∣∣∣
= 1(-3-1)-9(-1-1)+1(1-3) = 12
V2=DV2D=124=3
DV3=∣∣∣∣1111−1193−1∣∣∣∣
V3=DV3D=164=4
D=∣∣∣∣1111−1111−1∣∣∣∣
=1(1-1)-1(-1-1)+1(1+1)= 4
DV1=∣∣∣∣9311−1111−1∣∣∣∣
= 9(1-1)-1(-3-1)+1(3+1) = 8
V1=DV1D=84=2
DV2=∣∣∣∣11193111−1∣∣∣∣
= 1(-3-1)-9(-1-1)+1(1-3) = 12
V2=DV2D=124=3
DV3=∣∣∣∣1111−1193−1∣∣∣∣
V3=DV3D=164=4
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