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Two voltage sources of open-circuit voltage of 10 V and 12 V with internal resistances 2 Ω and 3 Ω respectively are connected in parallel with like terminals shorted together. What is the effective open-circuit voltage of the combination?
  • a)
    11 V
  • b)
    10 V
  • c)
    12 V
  • d)
    10.8 V
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Two voltage sources of open-circuit voltage of 10 V and 12 V with inte...
Concept:
Source transformation
The voltage source in series with the resistance can be converted into the current source in parallel with the same resistance.
Calculation:
Given voltage sources are
1. 10 V source with the internal resistance of 2 Ω
2. 12 V source with the internal resistance of 3 Ω
Connecting two sources in parallel and like polarities
Changing into current sources we get
Current sources in parallel with the same direction are added together. So, the resultant current is 9 A.
The parallel equivalent resistance is
Req = 6/5 Ω
Final open-circuited voltage is
V = 10.8 volts
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