In a typical Wheatstone network, the resistances in cyclic order are $A = 10 \,\Omega $, $B = 5 \,\Omega $, $C = 4 \,\Omega $ and $D = 4 \,\Omega $ for the bridge to be balanced
Medium
Download our app for free and get started
For a balance Wheatstone bridge.
$\frac{A}{B} = \frac{D}{C} \Rightarrow \frac{{10}}{5} \ne \frac{4}{4}$ (Unbalanced)
$\frac{{A'}}{B} = \frac{D}{C} \Rightarrow \frac{{A'}}{5} = \frac{4}{4}$$ \Rightarrow $ $A' = 5\,\Omega $
$A'$ $(5\,\Omega )$ is obtained by connecting a $10\,\Omega $ resistance in parallel with $A$.
Download our appand 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
- 1For ensuring dissipation of same energy in all three resistors $({R_1},\,{R_2},\,{R_3})$ connected as shown in figure, their values must be related asView Solution
- 2A uniform heating wire of resistance $36\, \Omega$ is connected across a potential difference of $240\, {V}$ The wire is then cut into half and potential difference of $240\, {V}$ is applied across each half separately. The ratio of power dissipation in first case to the total power dissipation in the second case would be $1: {x}$, where ${x}$ is........... .View Solution
- 3In a Wheatstone bridge, $P = 90\,\Omega $, $Q = 110\,\Omega $ , $R = 40\,\Omega $ and $S = 60\,\Omega $ and a cell of $4\,V\,emf$. Then the potential difference between the diagonal along which a galvanometer is connected is ............. $V$View Solution
- 4The resistance of $10\, metre$ long potentiometer wire is $1\,ohm/meter$. A cell of $e.m.f.$ $2.2\, volts$ and a high resistance box are connected in series to this wire. The value of resistance taken from resistance box for getting potential gradient of $2.2\, millivolt/metre$ will be ............... $\Omega $View Solution
- 5The resistance of all the wires between any two adjacent dots is $R$. Then equivalent resistance between $A$ and $B$ as shown in figure is :View Solution
- 6Resistance $n$, each of $r\; ohm$, when connected in parallel give an equivalentresistance of $R\; ohm$. If these resistances were connected in series, the combination would have a resistance in $ohms$, equal toView Solution
- 7Find potential difference across $24\,\Omega $ ............. $\mathrm{volt}$View Solution
- 8In the given circuit the current $I_1$ is .............. $A$View Solution
- 9If ${R_1}$ and ${R_2}$ are respectively the filament resistances of a $200$ $watt$ bulb and $100$ $watt$ bulb designed to operate on the same voltage, thenView Solution
- 10Say 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 asView Solution
