Which of the following statements is true about the flow of electrons in an electric circuit?
Electrons always flow from lower to higher potential
Electrons always flow from higher to lower potential
Electrons flow from lower to higher potential, except through power sources
Electrons flow from higher to lower potential, except through power sources
An infinitely long thin wire, having a uniform charge density per unit length of $5 nC / m$, is passing through a spherical shell of radius $1 m$, as shown in the figure. A $10 nC$ charge is distributed uniformly over the spherical shell. If the configuration of the charges remains static, the magnitude of the potential difference between points $P$ and $R$, in Volt, is. . . .
[Given: In SI units $\frac{1}{4 \pi \epsilon_0}=9 \times 10^9, \ln 2=0.7$. Ignore the area pierced by the wire.]
Variation in electric potential is maximum if one goes
Two point charges $-Q$ and $+Q / \sqrt{3}$ are placed in the xy-plane at the origin $(0,0)$ and a point $(2,0)$, respectively, as shown in the figure. This results in an equipotential circle of radius $R$ and potential $V =0$ in the $xy$-plane with its center at $(b, 0)$. All lengths are measured in meters.
($1$) The value of $R$ is. . . . meter.
($2$) The value of $b$ is. . . . . .meter.
Potential at a point $x$-distance from the centre inside the conducting sphere of radius $R$ and charged with charge $Q$ is
Four electric charges $+q,+q, -q$ and $-q$ are placed at the comers of a square of side $2L$ (see figure). The electric potential at point $A,$ midway between the two charges $+q$ and $+q,$ is