The total power dissipated in watt in the circuit shown here is ............. $W$
AIPMT 2007, Medium
Download our app for free and get startedPlay store
In the given circuit $6 \,\Omega$ and $3 \,\Omega$ are in parallel, and hence its equivalent resistance is given by

$\frac{1}{R_{p}}=\frac{1}{6}+\frac{1}{3} \quad \text { or } \quad R_{p}=2 \,\Omega$.

The equivalent circuit diagram is given in figure.

Total current in the circuit,

$I=\frac{18}{2+4}=3\, \mathrm{A}$.

Power in the circuit $ = VI = 18 \times 3 = 54\,\,watt.$

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
    Two electric bulbs $A$ and $B$ are rated as $60\, W$ and $100\, W$. They are connected in parallel to the same source. Then,
    View Solution
  • 2
    A potentiometer consists of two wires $AC$ and $CB$ of same material and of equal lengths but diameters in the ratio $3 : 1.$ Then the potential gradients on the two wires will be in the ratio :-
    View Solution
  • 3
    In an experiment to measure the internal resistance of a cell by potentiometer, it is found that the balance point is at a length of $2\,m$ when the cell is shunted by a $5\,\Omega $ resistance; and is at a length of $3\,m$ when the cell is shunted by a $10\,\Omega $ resistance. The internal resistance of the cell is, then ................ $\Omega $
    View Solution
  • 4
    An electric bulb rated for $500\, watts$ at $100\, volts$ is used in a circuit having a $200-volt$ supply. The resistance $R$ that must be put in series with the bulb, so that the bulb draws $500\, W$ is .................. $\Omega$
    View Solution
  • 5
    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
  • 6
    What is net force on the small dipole placed inside the capacitor at steady state if the plates are separated by $1\ cm$ ?......$N$
    View Solution
  • 7
    In the circuit shown in figure, the heat produced in $5\, ohm $ resistance is $10\, cal / sec$ . The heat produced in $4$ resistance is ................ $cal /sec$
    View Solution
  • 8
    In the circuit shown in figure, find the current through the branch $BD$ ............. $A$
    View Solution
  • 9
    $32$ cells, each of $emf$ $3V$, are connected in series and kept in a box. Externally, the combination shows an $emf$ of $84\, V$. The number of cells reversed in the combination is 
    View Solution
  • 10
    In the given figure of meter bridge experiment, the balancing length $AC$ corresponding to null deflection of the galvanometer is $40\,cm$. The balancing length, if the radius of the wire $AB$ is doubled, will be $....cm$
    View Solution