Two conductors made of the same material are connected across a common potential difference. Conductor $A$ has twice the diameter and twice the length of conductor $B$. The power delivered to the two conductors ${P_A}$ and ${P_B}$ respectively is such that ${P_A}/{P_B}$ equals to
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A $2\, volt$ battery, a $15\,\Omega $ resistor and a potentiometer of $100\, cm$ length, all are connected in series. If the resistance of potentiometer wire is $5\,\Omega $, then the potential gradient of the potentiometer wire is ............... $V/cm$
A $6\, volt$ battery of negligible internal resistance resistance is connected across a uniform wire $AB$ of length $100\,cm$. The positive terminal of another battery of $emf$ $4\,V$ and internal resistance $1\,\Omega $ is joined to the point $A$ as shown in fig. Take the potential at $B$ to be zero. At which point $D$ of the wire $AB$, from left the potential is equal to the potential at $C$ ? ...................... $cm$ (approximately)
An ideal cell of emf $10\, V$ is connected in circuit shown in figure. Each resistance is $2\, \Omega .$ The potential difference (in $V$) across the capacitor when it is fully charged is
A potentiometer is used for the comparison of $e.m.f.$ of two cells ${E_1}$ and ${E_2}$. For cell ${E_1}$ the no deflection point is obtained at $20\,cm$ and for ${E_2}$ the no deflection point is obtained at $30\,cm$. The ratio of their $e.m.f.$'s will be
In the circuit shown in figure potential difference between points A and $B$ is $16\,V$. the current passing through $2 \Omega$ resistance will be $...........\,A$
An electron (charge $= 1.6 × 10^{-19}$ coulomb) is moving in a circle of radius $5.1 × 10^{-11}\,m$ at a frequency of $6.8 × 10^{15} $ revolutions/sec. The equivalent current is approximately