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Question

Find the potential at node A.


A
53 V
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B
+53 V
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C
+43 V
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D
23 V
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Solution

The correct option is A 53 V
Let the potential at point A be x


Writing the path equation relating potentials all four branches,

x20i1(1)=10

i1=x30

x15i2(2)=20

i2=x352

xi3(2)5=50

i3=x+452

xi4(1)=30

i4=x+30

Applying KCL at the junction i.e at point A,

i1+i2+i3+i4=0

Applying kirchhoff current law at junciton A

(x30)+(x352)+(x+452)+(x+30)=0

2x60+x35+x+45+2x+602=0

6x+10=0

x=53

Thus potential at A is x=53 V
Why this question ?
Tip––: In such problems always identify the junction first, and apply KCL. Also assign the potential to unknown point and write the equation for traversing along a given path in circuit.

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