Question

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 1

`v_1 = 12 volts`

`v_2 = 6 volts`

`v_3 = 36 volts`

Step-by-step explanation:

As we know that all the batteries are in series

so the net voltage of all three batteries is given as

`V = v_1 + v_2 + v_3`

now we know that

`v_1 = 2v_2`

`v_1 = (1)/(3)v_3`

now plug in all the values in it

`54 = v_1 + (v_1)/(2) + 3v_1`

`54 = 4.5 v_1`

`v_1 = 12 volts`

now we have

`v_2 = 6 volts`

`v_3 = 36 volts`