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 268817: 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.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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.
:
Let x = voltage of the 1st battery
:
" The voltage of the first battery is twice the voltage of the second", then:
.5x = voltage of the 2nd battery
:
"and 1/3 the voltage of the third battery."which means:
3x = voltage of the third battery
:
Find the actual voltage of each battery.
:
x + .5x + 3x = 54
4.5x = 54
x =
x = 12v is the 1st battery
and
.5(12) = 6v is the 2nd battery
and
3(12) = 36v is the 3rd battery
:
:
Check solution: 12 + 6 + 36 = 54
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