A resistance of $4\,\Omega $ and a wire of length $5\,m$ and resistance $5\,\Omega $ are joined in series and connected to a cell of $e.m.f.$ $10\, V$ and internal resistance $1\,\Omega $. A parallel combination of two identical cells is balanced across $300\, cm$ of the wire. The $e.m.f.$ $E$ of each cell is ........... $V$
Medium
Download our app for free and get startedPlay store
$E = x\,l = \frac{V}{l} = \frac{{iR}}{L} \times l$

$E = \frac{e}{{(R + {R_h} + r)}} \times \frac{R}{L} \times l$

$E = \frac{{10}}{{(5 + 4 + 1)}} \times \frac{5}{5} \times 3 = 3\,V$

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 cylindrical conductor has uniform cross-section. Resistivity of its material increase linearly from left end to right end. If a constant current is flowing through it and at a section distance $x$ from left end, magnitude of electric field intensity is $E$, which of the following graphs is correct
    View Solution
  • 2
    The terminal potential difference of a cell when short-circuited is ($E$ = $E.M.F.$ of the cell)
    View Solution
  • 3
    A student obtained following observations in an experiment of meter bridge to find the unknown resistance of the circuit The most accurate value of unknown resistance is ............ $\Omega$
    S.No. $R$ $l$ $100-l$ $S = \left( {\frac{{100 - l}}{l}} \right)R$
    $1$ $20\,\Omega $ $43$ $57$ $26.51\,\Omega $
    $2$ $30\,\Omega $ $51$ $49$ $28.82\,\Omega $
    $3$ $40\,\Omega $ $59$ $41$ $27.80\,\Omega $
    $4$ $60\,\Omega $ $70$ $30$ $25.71\,\Omega $
    View Solution
  • 4
    Three voltmeters, all having different internal resistances are joined as shown in figure. When some potential difference is applied across $\mathrm{A}$ and $B$, their readings are $V_1, V_2$ and $V_3$. Choose the correct option.
    View Solution
  • 5
    The resistance of a conductor is $5\, ohm$ at $50\,^oC$ and $6\, ohm$ at $100\,^oC$. Its resistance at $0\,^oC$ is ................ $ohm$
    View Solution
  • 6
    Referring to the figure below, the effective resistance of the network is
    View Solution
  • 7
    In the arrangement shown in figure, the current through $5\,\Omega$ resistor is ............. $A$
    View Solution
  • 8
    An electric bulb of $500 \,watt$ at $100\, volt$ is used in a circuit having a $200\, {V}$ supply. Calculate the resistance ${R}$ to be connected in series with the bulb so that the power delivered by the bulb is $500\, {W}$. (in $\Omega$)
    View Solution
  • 9
    There are two wires of the same length and of the same material and radii $r$ and $2r$ . The ratio of their specific resistance is
    View Solution
  • 10
    Find potential difference between $A$ and $B$ in given circuit in steady state ............... $\mathrm{V}$
    View Solution