If the current through a resistor in a circuit increases by $3 \%$, then the power dissipated by the resistor
  • Aincreases approximately by $3 \%$
  • Bincreases approximately by $6 \%$
  • Cincreases approximately by $9 \%$
  • Ddecreases approximately he $3 \%$
KVPY 2013, 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
     Find current in $6\,\Omega $ resistance
    View Solution
  • 2
    $A$ brass disc and a carbon disc of same radius are assembled alternatively to make a cylindrical conductor. The resistance of the cylinder is independent of the temperature. The ratio of thickness of the brass disc to that of the carbon disc is [$\alpha$ is temperature coefficient of resistance and Neglect linear expansion ]
    View Solution
  • 3
    In a wire of cross section radius $r,$ free electrons travel with drift velocity $v$ when a current $I$ flows through the wire. What is the current in another wire of half the radius and of the same material when the drift velocity is $2v$  ?
    View Solution
  • 4
    To get maximum current through a resistance of $2.5\,\Omega $, one can use $m$ rows of cells, each row having $n$ cells. The internal resistance of each cell is $0.5\,\Omega $. What are the values of $n$ and $m$ if the total number of cells is $45$ ?
    View Solution
  • 5
    A battery of $emf$ $10\,V$ is connected to resistances as shown in the figure. The potential difference between $A$ and $B,\,\,(V_A -V_B)$ is ................ $V$
    View Solution
  • 6
    The figure shows a circuit having eight resistances of $1 \Omega$ each, labelled $R_1$ to $R_8$, and two ideal batteries with voltages $\varepsilon_1=12 V$ and $\varepsilon_2=6 V$.

    Which of the following statement($s$) is(are) correct?

    $(A)$ The magnitude of current flowing through $R_1$ is $7.2 A$.

    $(B)$ The magnitude of current flowing through $R_2$ is $1.2 A$.

    $(C)$ The magnitude of current flowing through $R_3$ is $4.8 A$.

    $(D)$ The magnitude of current flowing through $R_5$ is $2.4 A$.

    View Solution
  • 7
    After switch is closed, current drawn from the battery is (in $A$)
    View Solution
  • 8
    A $5\,^oC$ rise in temperature is observed in a conductor by passing a current. When the current is doubled the rise in temperature will be approximately ........... $^oC$
    View Solution
  • 9
    A current of $2\,A$ flows through a wire of crosssectional area $25.0\,mm ^2$. The number of free electrons in a cubic meter are $2.0 \times 10^{28}$. The drift velocity of the electrons is $...............\times 10^{-6}\,ms ^{-1}$ (given, charge on electron $=1.6 \times 10^{-19}\,C$ )
    View Solution
  • 10
    If six identical cells each having an $e.m.f.$ of $6\,V$ are connected in parallel, the $e.m.f.$ of the combination is ................ $V$ 
    View Solution