Two cells when connected in series are balanced on $8\;m$ on a potentiometer. If the cells are connected with polarities of one of the cell is reversed, they balance on $2\,m$. The ratio of $e.m.f.$'s of the two cells is
Medium
Download our app for free and get startedPlay store
(b) $\frac{{{E_1}}}{{{E_2}}} = \frac{{{l_1} + {l_2}}}{{{l_1} - {l_2}}} = \frac{{(8 + 2)}}{{(8 - 2)}} = \frac{5}{3}$
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
    The current in a simple series circuit is $5.0\, amp$. When an additional resistance of $2.0\, ohms$ is inserted, the current drops to $4.0\, amp$. The original resistance of the circuit in $ohms$ was
    View Solution
  • 2
    The potential difference between $A$ and $B$ in the Figure is ................. $V$
    View Solution
  • 3
    A potentiometer having the potential gradient of $2\, mV/cm$ is used to measure the difference of potential across a resistance of $10 \,\Omega$. If a length of $50\, cm$ of the potentiometer wire is required to get the null point, the current passing through the $10 \,\Omega$ resistor is (in $mA$)
    View Solution
  • 4
    Three copper wires of lengths and cross sectional areas are $(l,\,A),\,(2l,\,A/2)$ and $(l/2,\, 2A)$ . Resistance is minimum in
    View Solution
  • 5
    When the current $i$ is flowing through a conductor, the drift velocity is $v$. If $2i$ current is flowed through the same metal but having double the area of cross-section, then the drift velocity will be
    View Solution
  • 6
    What is the equivalent resistance between  $A$ and $B$
    View Solution
  • 7
    For the arrangement of the potentiometer shown in the figure, the balance point is obtained at $a$ distance $75\,cm $ from $A$ when the key $k$ is open. The second balance point is obtained at $60\, cm$ from $A$ when the key $k$ is closed. Find the internal resistance (in $ \Omega$) of the battery $E_1$.
    View Solution
  • 8
    Two ideal batteries of emf $V _1$ and $V _2$ and three resistances $R _1, R _2$ and $R _3$ are connected as shown in the figure.

    The current in resistance $R _2$ would be zero if

    $(A)$ $V_1=V_2$ and $R_1=R_2=R_3$

    $(B)$ $V_1=V_2$ and $R_1=2 R_2=R_3$

    $(C)$ $V_1=2 V_2$ and $2 R_1=2 R_2=R_3$

    $(D)$ $2 V _1= V _2$ and $2 R _1= R _2= R _3$

    View Solution
  • 9
    Current density in a cylindrical wire of radius $R$ is given as $J =$ $\left\{ {\begin{array}{*{20}{c}}
      {{J_0}\left( {\frac{x}{R} - 1} \right)\,\,for\,\,0 \leqslant x < \frac{R}{2}} \\ 
      {{J_0}\frac{x}{R}\,\,\,\,for\,\,\,\frac{R}{2} \leqslant x \leqslant R} 
    \end{array}} \right.$The current flowing in the wire is:
    View Solution
  • 10
    The current flowing through $R _2$ is:
    View Solution