Question

By connecting two identical storage batteries together in series ("+" to "-" to "+" to "-"), and placing them in a circuit, the combination will yield:

a. zero volts.
b. twice the voltage and the same current will flow through each.
c. the same voltage and different current will flow through each.
d. twice the voltage and different currents will flwo through each.

Answer 1

b) Twice the voltage and the same current

Step-by-step explanation:

The two batteries are identical, and are connected in series. When elements in a circuit are connected in series, the same current flow through them but the voltage drops are additive.

Since the two batteries are identical, the possess the same voltage of magnitude V.

Therefore, the total voltage,
`V_(total) = V + (V)\\`

`V_(total) = 2 V`

Answer 2

Answer: option B

Explanation: each cell is suppose to have an emf and an internal resistance.

Let E1 be the emf of the first battery and E2 be the emf of the second battery.

Et is the total emf.

Going by the connection described above, it is a series arrangement.

Hence the total emf is calculated as sum of individual emf

Et = E1 + E2

But each cell are identical, hence E1 = E2 = E

Et = E + E = 2E.

Hence the total voltage is twice the voltage.

Since the connection is a series arrangement, the current passing through each cell is the same.

These points have made option B the correct answer.