Two batteries, one of emf $18\,volts\;emf$ and internal resistance $2\,\Omega $ and the other of emf $12\, volt$ and internal resistance $1\,\Omega $, are connected as shown. The voltmeter $V$ will record a reading of .............. $volt$
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A cable of resistance $10\,\Omega $ carries electric power from a generator producing $250\, kW$ at $10000\, volt$, the power lost in the cable during transmission is ............. $kW$
Consider the circuit shown below where all resistors are $1 \,k \Omega$. If a current of magnitude $1 \,mA$ flows through the resistor marked $X$, the potential difference measured between points $P$ and $Q$ are ..............$V$
A cell, shunted by a $8 \; \Omega$ resistance, is balanced across a potentiometer wire of length $3 \; m$. The balancing length is $2 \; m$ when the cell is shunted by $4 \; \Omega$ resistance. The value of internal resistance of the cell will be $\dots \; \Omega .$
The resistance of a $5\, cm$ long wire is $10\, \Omega$. It is uniformly stretched so that its length becomes $20\, cm$. The resistance of the wire is ............. $\Omega$
In the circuit shown the cells are ideal and of equal emfs, the capacitance of the capacitor is $C$ and the resistance of the resistor is $R. X$ is first joined to $Y$ and then to $Z$. After a long time, the total heat produced in the resistor will be