A potentiometer wire of length 1 m is connected to a driver cell of emf 3 V as shown in the figure. When a cell of 1.5 V emf is used in the secondary circuit, the balance point is found to be 60 cm. On replacing this cell and using a cell of unknown emf, the balance point shifts to 80 cm. 
  1. Calculate unknown emf of the cell.
  2. Explain with reason, whether the circuit works, if the driver cell is replaced with a cell of emf 1 V.
  3. Does the high resistance R, used in the secondary circuit affect the balance point? Justify your answer.
CBSE DELHI - SET 1 2008
Download our app for free and get startedPlay store
  1. $\frac{E_1}{E_2} = \frac{l_1}{l_2}$
$\therefore \text{E}_{2} = \frac{E_1\ell_2}{\ell_2} = 2\nu$
  1. No. P.D. across wire AB will not be able to balance 1.5V emf/balance point will not exist on the wire AB.
  2. No. At balance point no current is drawn from the cell. Balance point is independent of R.
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    A resistance of $R$ draws current from a potentiometer. The potentiometer wire, $AB,$ has a total resistance of $R_o$. A voltage $V$ is supplied to the potentiometer. Derive an expression for the voltage across $R$ when the sliding contact is in the middle of potentiometer wire.
    View Solution
  • 2
    Why are alloys used for making standard resistance coils?
    View Solution
  • 3
    A potentiometer wire of length 1.0 m has a resistance of l5 $\Omega$. It is connected to a 5 V battery in series with a resistance of 5 $\Omega$ Determine the emf of the primary cell which gives a balance point at 60 cm.
    View Solution
  • 4
    (a) In Example 3.1, the electron drift speed is estimated to be only a few $mm s ^{-1}$ for currents in the range of a few amperes? How then is current established almost the instant a circuit is closed?
    (b) The electron drift arises due to the force experienced by electrons in the electric field inside the conductor. But force should cause acceleration. Why then do the electrons acquire a steady average drift speed?
    (c) If the electron drift speed is so small, and the electron's charge is small, how can we still obtain large amounts of current in a conductor?
    (d) When electrons drift in a metal from lower to higher potential, does it mean that all the 'free' electrons of the metal are moving in the same direction?
    (e) Are the paths of electrons straight lines between successive collisions (with the positive ions of the metal) in the (i) absence of electric field, (ii) presence of electric field?
    View Solution
  • 5
    AB is a potentiometer wire (Fig). If the value of R is increased, in which direction will the balance point J shift?
    View Solution
  • 6
    A resistance of R draws current from a potentiometer. The potentiometer wire $, AB, $ has a total resistance of $R_o. A$ voltage $V$ is supplied to the potentiometer. Derive an expression for the voltage across $R$ when the sliding contact is in the middle of potentiometer wire.
    View Solution
  • 7
    Calculate the current drawn from the battery in the given network shown here. State Kirchhoff’s loop law and name the law on which it is based.
    View Solution
  • 8
    A voltage of 30V is applied across a carbon resistor with first, second and third rings of blue, black and yellow colours respectively. Calculate the value of current in mA, through the resistor.
    View Solution
  • 9
    In a meter bridge, the null point is found at a distance of 40 cm from A. If a resistance of 12 Ω is connected in parallel with S, the null point occurs at 50.0 cm from. Determine the values of R and S.
    View Solution
  • 10
    A plate of area $10\ cm^2$ is to be electroplated with copper $($density $9000\ kg/m^3)$ to a thickness of $10$ micrometres on both sides, using a cell of $12V$. Calculate the energy spent by the cell in the process of deposition. If this energy is used to heat $100g$ of water, calculate the rise in the temperature of the water. $\ce{ECE}$ of copper $= 3 \times 10^{-7}kg C^1 $ and specific heat capacity of water $= 4200Jkg^1.$
    View Solution