#33Q4) Electricity and Electronics

Comparison of electromotive forces of two cells using the potentiometer

DifficultyMedium
Est. Time45 mins

Required Apparatus

  • Potentiometer, - 2 V lead-acid accumulator, (or two 1.2 V Ni-Cd cells connected in series), - Leclanché cell, - Daniell cell, - Centre-zero galvanometer, - Two-way switch, - Two plug keys, - 5 kΩ safety resistor, - Sliding contact (jockey), - Connecting wires

Scientific Theory

Image

If l1l_1 is the balancing length when the two-way switch is connected to cell E1E_1 and l2l_2 is the balancing length when the same switch is connected to cell E2E_2,

E1E2=l1l2\frac{E_1}{E_2} = \frac{l_1}{l_2}

Experimental Method

  1. Set up the circuit as shown in Figure 33.1.
  2. Close key K1K_1 while keeping key K2K_2 open.
  3. Connect the two-way switch to cell E1E_1.
  4. Check the circuit by touching the sliding contact to ends A and B of the potentiometer wire.
  5. If the galvanometer deflections are in opposite directions, the circuit is correct.
  6. Find the balance point for cell E1E_1 and record the balancing length l1l_1.
  7. Close key K2K_2 and obtain a more accurate value of l1l_1.
  8. Connect the two-way switch to cell E2E_2.
  9. Repeat the procedure and record the balancing length l2l_2 accurately.

Important Points

1
  • If the galvanometer shows deflections in the same direction at both ends of the potentiometer wire, possible reasons are:
2
  • Incorrect connection of cell terminals.
3
  • Loose connections in the circuit.
4
  • The potentiometer supply cell is partially discharged.
5
  • If the galvanometer shows no deflection at both ends, check for broken or disconnected wires.
6
  • A more accurate value of E1E2\dfrac{E_1}{E_2} can be obtained by taking several sets of readings with different resistance values and plotting l1l_1 against l2l_2.
7
  • The gradient of the graph of l1l_1 against l2l_2 gives:
8
9

\frac{E_1}{E_2}

10
11
  • Potentiometers with different wire lengths (2 m, 4 m, 8 m, etc.) are available. The wire length should be considered when measuring balancing lengths.

Past Paper Questions