Voltmeters $V_1$ and $V_2$ are connected in series across a $D.C.$ line. $V_1$ reads $80\, volts$ and has a per volt resistance of $200 \,\Omega$. $V_2$ has a total resistance of $32 \,kilo-ohms$. The line voltage is .............
Diffcult
Download our app for free and get started
(d) ${R_1} = 80 \times 200 = 16000\,\Omega = 16\,k\Omega $
Current flowing through ${V_1}$$=$ Current flowing through ${V_2}$ $=$ $\frac{{80}}{{16 \times {{10}^3}}} = 5 \times {10^{ - 3}}\,A$.
So, potential differences across ${V_2}$ is
${V_2} = 5 \times {10^{ - 3}} \times 32 \times {10^3} = 160\,{\rm{volt}}$
Hence, line voltage $V = {V_1} + {V_2} = 80 + 160 = 240\,V$.
Current flowing through ${V_1}$$=$ Current flowing through ${V_2}$ $=$ $\frac{{80}}{{16 \times {{10}^3}}} = 5 \times {10^{ - 3}}\,A$.
So, potential differences across ${V_2}$ is
${V_2} = 5 \times {10^{ - 3}} \times 32 \times {10^3} = 160\,{\rm{volt}}$
Hence, line voltage $V = {V_1} + {V_2} = 80 + 160 = 240\,V$.
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
- 1A $5.0\, amp$ current is setup in an external circuit by a $6.0\, volt$ storage battery for $6.0$ minutes. The chemical energy of the battery is reduced byView Solution
- 2View SolutionLamps used for household lighting are connected in
- 3What is the resistance of a carbon resistance which has bands of colours brown, black and brown .............. $\Omega$View Solution
- 4In the circuit shown, the resistances are given in ohms and the battery is assumed ideal with $\mathrm{emf}$ equal to $3.0$ $\mathrm{volts}.$ The resistor that dissipates the most power isView Solution
- 5In the circuit shown the readings of ammeter and voltmeter are $4\,\, A$ and $20\,\, V$ respectively. The meters are non ideal, then $R$ isView Solution
- 6The 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
- 7$10$ resistors each of resistance $10\,\Omega$ can be connected in such as to get maximum and minimum equivalent resistance. The ratio of maximum and minimum equivalent resistance will be $..........$.View Solution
- 8A light bulb of resistance $R=16 \,\Omega$ is attached in series with an infinite resistor network with identical resistances $r$ as shown below. A $10 \,V$ battery drives current in the circuit. ............. $\Omega$ the value of $r$ such that the bulb dissipates about $1 \,W$ of power.View Solution
- 9A wire has a resistance of $12\, ohm$. It is bent in the form of equilateral triangle. The effective resistance between any two corners of the triangle isView Solution
- 10The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the resistance of the wire will be..... $\%$.View Solution