In the circuit shown here, what is the value of the unknown resistor $R$ so that the total resistance of the circuit between points $P$ and $Q$ is also equal to $R$
  • A$3\, ohms$
  • B$\sqrt {39} \,ohms$
  • C$\sqrt {69} \,ohms$
  • D$10\, ohms$
Medium
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
    An electrical power line, having a total resistance of $2 \Omega$, delivers $1 \,kW$ at $220\, V$. The efficiency of the transmission line is approximately $.......\%$
    View Solution
  • 2
    A rise of temperature of $4\,^oC$ is observed in a conductor by passing a current. If the current is tripled, the rise temperature will be .............. $^oC$
    View Solution
  • 3
    The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the resistance of the wire will be..... $\%$.
    View Solution
  • 4
    Two conductors of same length are connected in parallel as shown in figure. Their cross-sectional areas $A_1$ and $A_2$ and their resistivities are ${\rho _1}$ and  ${\rho _2}$ respectively. The equivalent resistivity of this combination is
    View Solution
  • 5
    A null point is found at $200\,cm$ in potentiometer when cell in secondary circuit is shunted by $5\,\Omega$. When a resistance of $15\,\Omega$ is used for shunting null point moves to $300\,cm$. The internal resistance of the cell is $..............\,\Omega$.
    View Solution
  • 6
    In the network shown the potential difference between $A$ and $B$ is ................. $V$ $(R = r_1 = r_2 = r_3 = 1 \Omega$ ,$ E_1 = 3\, V, E_2 = 2\, V, E_3 = 1\, V)$
    View Solution
  • 7
    Fig. shows rough sketch of meter bridge. $(G)$ deflects zero at length $l\, cm$. Now $R_1$ and $R_2$ are interchanged then balancing length increases by $25\, cm$. Find $R_1/R_2$ 
    View Solution
  • 8
    If power in $3\,\Omega $ is $27\,W$ then what is the power in $2\,\Omega $  ................ $\mathrm{W}$
    View Solution
  • 9
    A $10\,m$ long potentiometer wire has a potential gradient of $0.0025\, V/cm$. Calculate the distance of null point when the wire is connected to a $1.025\,V$ standard cell ............... $\mathrm{m}$
    View Solution
  • 10
    A rise of temperature of $4\,^oC$ is observed in a conductor by passing a current. If the current is tripled, the rise temperature will be .............. $^oC$
    View Solution