The election field in a region is given by $\vec E = (Ax + B)\hat i$ where $E$ is in $N\,C^{-1}$ and $x$ in meters. The values of constants are $A = 20\, SI\, unit$ and $B = 10\, SI\, unit$. If the potential at $x =1$ is $V_1$ and that at $x = -5$ is $V_2$ then $V_1 -V_2$ is.....$V$
$320$
$-48$
$-520$
$180$
Which of the following statements is true about the flow of electrons in an electric circuit?
Two tiny spheres carrying charges $1.5 \;\mu\, C$ and $2.5\; \mu\, C$ are located $30 \;cm$ apart. Find the potential and electric field
$(a)$ at the mid-point of the line joining the two charges, and
$(b)$ at a point $10\; cm$ from this midpoint in a plane normal to the line and passing through the mid-point.
Let $V$ and $E$ are potential and electric field intensity at a point then
A uniform electric field of $400 \,v/m$ is directed $45^o$ above the $x$ - axis. The potential difference $V_A - V_B$ is -.....$V$
The linear charge density on a dielectric ring of radius $R$ varies with $\theta $ as $\lambda \, = \,{\lambda _0}\,\cos \,\,\theta /2,$ where $\lambda _0$ is constant. Find the potential at the centre $O$ of ring. [in volt]