Question

what is the the total potential difference of the battery shown below ? ​

Answer 1

Answer:

if the current is passing from 6v then potential difference = - 6 + 3 + 3 + 3 = +3v

Answer 2

The total potential difference of the battery is equal to 3V with the positive terminal of the battery lying on the right side.

Given:

The potential differences of the cells are:

(i) V₁ = 6V               (ii) V₂ = 3V                   (iii) V₃ = 3V                (iv) V₄ = 3V

To Find:

The total potential difference of the battery.

Solution:

→ A cell contains two terminals: Anode and Cathode.

• The cathode is the positively charged terminal of the cell. It is the terminal of the cell from where the current flows out and enters the circuit.
• The anode is the negatively charged terminal of the cell. It is the terminal of the cell from where the current from the circuit flows into the cell.

→ Series combination of the cells to form a battery:

• In series combination, the cells are connected in such a manner that the same current flows through each cell. The total EMF of the battery is equal to the sum of the EMFs of the individual cells with the proper sign.

→ Suppose we have 'n' cells and they are connected in such a manner that the cathode of one cell is connected to the anode of the next cell and then again the anode is connected to the cathode of the next cell and so on, then the EMF of the combination is given by:

                            $E_{Battery} =E_{1} +E_{2} +E_{3} +...+E_{n}$

→ If the direction of one of the cells reverses somewhere between the combination, then the sign of the EMF of that cell will also get reversed in the final expression of the EMF of the battery.

→Therefore for the given question:

The three 3V batteries are in the same order while the 6V battery is in the opposite order:

                              $V_{Battery} =-V_{1} +V_{2} +V_{3} +V_{4} \\\\V_{Battery} =-6+3 +3 +3\\\\ V_{Battery} =3V$

Hence the total potential difference of the battery is equal to 3V with the positive terminal of the battery lying on the right side.

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