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Consider the ladder network shown in figure. What should be the value of resistance $R$, so that effective resistance between $A$ and $B$ becomes independent of number of elements in the combination is ............. $\Omega$
A 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)
A wire is connected to a battery between the point $M$ and $N$ as shown in the figure $(1)$. The same wire is bent in the form of a square and then connected to the battery between the points $M$ and $N$ as shown in the figure $(2)$. Which of the following quantities increases?
Two cells are connected between points $A$ and $B$ as shown. Cell $1$ has emf of $12\,V$ and internal resistance of $3\,\Omega$. Cell $2$ has emf of $6\,V$ and internal resistance of $6\,\Omega$. An external resistor $R$ of $4\,\Omega$ is connected across $A$ and $B$. The current flowing through $R$ will be $.............A$.
The charge of an electron is $1.6 × 10^{-19}\,C$. How many electrons strike the screen of a cathode ray tube each second when the beam current is $16\,mA$
the given potentiometer has its wire of resistance $10\, \Omega$. When the sliding contact is in the middle of the potentiometer wire, the potential drop across $2\, \Omega$ resistor is -