In the circuit shown the cells $A$ and $B$ have negligible resistance. For $V _{ A }=12\; V , R _{1}=500\; \Omega$ and $R =100\; \Omega$ the galvanometer $(G)$ shows no deflection. The value of $V_{B}$ is .... $V$
AIPMT 2012, Medium
Download our app for free and get started
In the first loop which contains $V _{ A }$, the current is given by:
$I =\frac{ V _{ A }}{ R _{1}+ R }$
$I =\frac{12}{500+100}$
$I =0.02 A$
Since negative terminal of battery is considered at zero voltage. Now voltage at the intersection point between $R$ and $R_{1}$ is given by:
$V= IR$
$V =0.02 \times 100$\
$V=2 V$
So for battery $V_{B}$ of electric potential $2 V$ there will be no current flowing through the galvanometer as voltage difference between these points is zero.
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
- 1The measurement of voltmeter in the following circuit is ................ $V$View Solution
- 2The power rating of an electric motor which draws a current of $3.75\, amperes$ when operated at $200\, V$ is aboutView Solution
- 3How many calories of heat will be produced approximately in a $210\, watt$ electric bulb in $5$ minutes .............. $cal $View Solution
- 4Thomson coefficient of a conductor is $10\,\mu V/K$. The two ends of it are kept at ${50\,^o}C$ and ${60\,^o}C$ respectively. Amount of heat absorbed by the conductor when a charge of $10\,C$ flows through it isView Solution
- 5In a potentiometer experiment shown here, for the position $X$ of the jockey $J,$ there occurs a null deflection in the galvanometer. Then the potential difference between points $A$ and $X$ is ................ $V$View Solution
- 6In the meter bridge shown, the length $AB$ for which the deflection in galvanometer is zero will be ............. $cm$View Solution
- 7The current between $B$ and $D$ in the given figure is .............. $amp$View Solution
- 8In the circuit shown, $n$-identical resistors $R$ are connected in parallel $(n > 1)$ and the combination is connected in series to another resistor $R_0$. In the adjoining circuit $n$ resistors of resistance $R$ are all connected in series alongwith $R_0$. The batteries in both circuits are identical and net power dissipated in the $n$ resistors in both circuits is same. The ratio $R_0 / R$ isView Solution
- 9For what value of $R$ the net resistance of the circuit will be $18\, ohms$ ............... $\Omega$View Solution
- 10An electric bulb is designed to draw power $P_0$ at voltage $V_0$. If the voltage is $V$ it draws a power $P$. ThenView Solution