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The voltage V in the circuit shown in the following figure is :

Terminals V across a 10 V source; a 3 ohm resistor joins the top of the 10 V source to the top of a 5 V source, whose bottom returns to the lower terminal

  • A.10 V
  • B.15 V
  • C.5 V
  • D.3 V

Answer: A

V is 10 V.

The output terminals are connected directly across the 10 V source: its plus terminal joins the upper terminal and its minus terminal the lower one. An ideal voltage source holds its terminal voltage regardless of the current it supplies, so the voltage between the terminals is 10 V.

The 3 ohm resistor and the 5 V source form a branch connected in parallel with the 10 V source. A current of \((10 - 5)/3 \approx 1.67\) A flows in that branch, but it does not change the voltage of the ideal source. The option 15 V adds the two sources, 5 V takes the other source, and 3 V confuses the resistance with a voltage.

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