In the circuit shown in figure reading of voltmeter is $V_1$ when only $S_1$ is closed, reading of voltmeter is $ V_2$ when only $S_2$ is closed and reading of voltmeter is $V_3$ when both $S_1$ and $S_2$ are closed. Then
Medium
Download our app for free and get started
In series : Potential difference $\propto$ $R$
When only $S_1$ is closed ${V_1} = \frac{3}{4}E = 0.75\,E$
When only $ S_2$ is closed ${V_2} = \frac{6}{7}E = 0.86\,E$
and when both $S_1$ and $S_2$ are closed combined resistance of $6R$ and $3R$ is $2R$
${V_3} = \left( {\frac{2}{3}} \right)E = 0.67\,E$ $\Rightarrow $ ${V_2} > {V_1} > {V_3}$
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
- 1In 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
- 2A potential divider circuit is shown in figure. The output voltage $V_0$ isView Solution
- 3View SolutionThe resistivity of a wire depends on its
- 4The lowest resistance which can be obtained by connecting $10$ resistors each of $1/10$ $ohm$ isView Solution
- 5In the circuit shown the variable resistance is so adjusted that the ammeter reading is same in both the position $1$ and $2$ of the key. The reading of ammeter is $2A$. If $E = 20V$, then $x$ is :- ................... $\Omega$View Solution
- 6The potential at point $E$ for the given figure is ................ $\mathrm{V}$View Solution
- 7Two bulbs of $100\, W$ and $200\, W$ working at $220$ $volt$ are joined in series with $220$ $volt$ supply. Total power consumed will be approximately ........... $watt$View Solution
- 8Two 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
- 9A heating coil can heat the water of a vessel from $20\,^oC$ to $60\,^oC$ in $30$ minutes. Two such heating coils are put in series and then used to heat the same amount of water through the same temperature range. The time taken now will be ............ $min$ (neglecting thermal capacity of the coils)View Solution
- 10View SolutionThe circuit below is used to heat water kept in a bucket. Assuming heat loss only by Newton's law of cooling, the variation in the temperature of the water in the bucket as a function of time is depicted by
