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Electric circuits miscellaneous

  1. A network contains linear resistors and ideal voltage sources. If values of all the resistors are doubled, then the voltage across each resistor is
    1. halved
    2. doubled
    3. increased by four times
    4. not changed
Correct Option: D

First Method :

V
ratio is a constant R. If R is doubled current will become half.
I

V = 2R
I
= RI
2

Second Method :
VR1 =
V
× R1
R1 + R2

VR2 =
V
× R2
R1 + R2

If R1 and R2 are doubled, then
V'R1 =
V × 2R1
= VR1
2(R1 + R2)

V'R2 =
V × 2R1
= VR2
2(R1 + R2)



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