SOLUTION: Three batteries are connected in series so that the total voltage is 54 volts. The voltage of the first battery is twice the voltage of the second and 1/3 the voltage of the third
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Question 437868: Three batteries are connected in series so that the total voltage is 54 volts. The voltage of the first battery is twice the voltage of the second and 1/3 the voltage of the third battery. Find the actual voltage of each battery.
Found 2 solutions by josmiceli, Gogonati:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = voltage of 2nd battery
= voltage the 1st battery
= voltage of 3rd battery
The batteries are
6v, 12v, and 36v
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
Since the batteries are connected in series the total voltage is equal to the sum of voltages connected in series:
Let volt the voltage of third battery then the voltage of the first
is and the voltage of the second is
Substitute and have:, solve this equation:
=>
Answer: The third battery is 27 v, the second is and
the first is
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