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  1. A network contains only independent current sources and resistors. If the values of all resistors are doubled, the values of node voltage—
    1. will become half
    2. will remain unchanged
    3. will become double
    4. cannot be determined unless the circuit configuration and the values of the resistors are known
Correct Option: C

Let I1, I2, I3, … independent current sources are connected in parallel with resistors R1, R2, R3,…

VA
+
VA
+
VA
+ .........= l1+l2+l3+.....
R1R2R3

or
VA
1
+
1
+
1
+ .........= l1+l2+l3+.....
R1R2R3

or
VA =
l1 + l2 + l3 +.....
1
+
1
+
1
R1
R2R3

According to question, if the values of all resistors are doubled then
VA =
l1 + l2 + l3 +.....
1
+
1
+
1
2R1
2R22R3

or
VA =
2 × l1 + l2 + l3 +.....
1
+
1
+
1
+...............
R1
R2R3

Therefore the value of node voltage will become double.
Hence alternative (C) is the correct choice.



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