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
    In the given figure switches $S_{1}$ and $S_{2}$ are in open condition. The resistance across $a b$ when the switches $S_{1}$ and $S_{2}$ are closed is $...\,\Omega$
    View Solution
  • 2
    A potential divider is used to give outputs of $4\,V$ and $8\,V$ from a $12\,V$ source. Which combination of resistances, $(R_1 : R_2 : R_3)$ gives the correct voltages
    View Solution
  • 3
    Assertion : An electric bulb becomes dim, when the electric heater in parallel circuit is switched on.

    Reason : Dimness decreases after sometime.

    View Solution
  • 4
    The circuit diagram shown consists of a large number of element (each element has two resistors $R_1$ and $R_2$). The resistance of the resistors in each subsequent element differs by $a$ factor of $K = 1/2$ from the resistance of the resistors in the previous elements. The equivalent reistance between $A$ and $B$ shown in figure is :
    View Solution
  • 5
    Two bulbs are in parallel and they together consume $48\, W$ from a battery of $6\, V$. The resistance of each bulb is ............ $\Omega$
    View Solution
  • 6
    A cell of constant $e.m.f.$ first connected to a resistance ${R_1}$ and then connected to a resistance ${R_2}$. If power delivered in both cases is then the internal resistance of the cell is
    View Solution
  • 7
    Following figures show different combinations of identical bulb$(s)$ connected to identical battery$(ies)$. Which option is correct regarding the total power dissipated in the circuit?
    View Solution
  • 8
    Say switches $S_1, S_2$ and so on upto $S_6$ are closed, one after other in order (first $S_1$, then $S_2$) at regular intervals of $1$ minute starting from $t = 0$. The graph of current versus time is best represented as
    View Solution
  • 9
    A $10\,V$ battery with internal resistance $1\,\Omega $ and a $15\,V$ battery with internal resistance $0.6\,\Omega $ are connected in parallel to a voltmeter (see figure). The reading in the voltmeter will be close to ................ $V$
    View Solution
  • 10
    The resistances of the four arms $P, Q, R$ and $S$ in a Wheatstone's bridge are $10\,ohm$, $30\,ohm$, $30\,ohm$ and $90\,ohm$, respectively. The e.m.f. and internal resistance of the cell are $7\,volt$ and $5\,ohm$ respectively. If the galvanometer resistance is $50\,ohm$, the current drawn from the cell will be ............... $A$
    View Solution