In the given circuit diagram, find the current passing through wire $CD$ (in ampere) 
Medium
Download our app for free and get startedPlay store
$\mathrm{R}_{\mathrm{N}}=\frac{25}{12} \,\Omega, \mathrm{I}_{\mathrm{N}}=24 \mathrm{\,A}$

$\mathrm{I}_{1}=\frac{3}{4} \times 24=18 \mathrm{\,A}, \quad \mathrm{I}_{2}=\frac{1}{4} \times 24=6 \mathrm{\,A}$

$\mathrm{I}_{3}=\frac{4}{6} \times 24=16 \mathrm{\,A}, \quad \mathrm{I}_{4}=\frac{2}{6} \times 24=8 \mathrm{\,A}$

Current through conducting wire

$=\mathrm{I}_{1}-\mathrm{I}_{3}=2 \mathrm{\,A}$

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
    Eight copper wire of length $l$ and diameter $d$ are joined in parallel to form a single composite conductor of resistance $R$. If a single copper wire of length $2\,l$ have the same resistance $(R)$ then its diameter will be $.....d$.
    View Solution
  • 2
    When a resistance of $2\, ohm$ is connected across the terminals of a cell, the current is $0.5\, A$. When the resistance is increased to $5\, ohm$, the current is $0.25\, A$. The $e.m.f.$ of the cell is ................. $V$
    View Solution
  • 3
    A wire has resistance $12\,\Omega $. It is bent in the form of a circle. The effective resistance between the two points on any diameter is equal to ................ $\Omega$
    View Solution
  • 4
    The four arms of a Wheatstone bridge have resistances as shown in the figure. A  galvanometer of $15\, \Omega$ resistance is connected across $BD$. Calculate the current through the galvanometer when a potential difference of $10\, V$ is maintained across $AC.$
    View Solution
  • 5
    $A$ battery consists of a variable number $n$ of identical cells having internal resistance connected in series. The terminals of the battery are short circuited and the current $I$ measured. Which one of the graph below shows the relationship between $I$ and $n$?
    View Solution
  • 6
    Two identical batteries, each of $e.m.f.$ $2\, volt$ and internal resistance $1.0\, ohm$ are available to produce heat in an external resistance $R = 0.5\,ohm$ by passing a current through it. The maximum Joulean power that can be developed across $R$ using these batteries is ............. $watt$
    View Solution
  • 7
    The equivalent resistance of the following infinite network of resistances is
    View Solution
  • 8
    Three resistors of $4\,\Omega ,6\,\Omega $ and $12\,\Omega $ are connected in parallel and the combination is connected in series with a $1.5\, V$ battery of $1\,\Omega $ internal resistance. The rate of Joule heating in the $4\,\Omega $ resistor is ................ $W$
    View Solution
  • 9
    The circuit shown has been connected for a long time. The voltage across the capacitor is ............. $V$
    View Solution
  • 10
    In a potentiometer arrangement. $E_1$ is the cell establishing current in primary circuit. $E_2$ is the cell to be measured. $AB$ is the potentiometer wire and $G$ is a galvanometer. Which of the following are the essential condition for balance to be obtained.
    View Solution