A $10\, micro-farad$ capacitor is charged to $500\, V$ and then its plates are joined together through a resistance of $10\, ohm$. The heat produced in the resistance is........$J$
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Four identical rectangular plates with length, $l=2\, cm$ and breadth, $b =\frac{3}{2}\, cm$ are arranged as shown in figure. The equivalent capacitance between $A$ and $C$ is $\frac{ x \varepsilon_{0}}{ d } .$ The value of $x$ is (Round off to the Nearest Integer)
Six metallic plates each with a surface area of one side $A$, are placed at a distance $d$ from each other. The alternate plates are connected to points $P$ and $Q$ as shown in figure. The capacitance of the system is
A ball of mass $1\, g$ and charge ${10^{ - 8}}\,C$ moves from a point $A$. where potential is $600\, volt$ to the point $B$ where potential is zero. Velocity of the ball at the point $B$ is $20\, cm/s$. The velocity of the ball at the point $A$ will be
Three equal charges are placed at the corners of an equilateral triangle. Which of the graphs below correctly depicts the equally-spaced equipotential surfaces in the plane of the triangle? (All graphs have the same scale.)
A $400\, pF$ capacitor is charged with a $100\, V$ battery. After disconnecting battery this capacitor is connected with another $400\, pF$ capacitor. Then find out energy loss.
A thin metallic spherical shell contains a charge $Q$ on it. A point charge $+q$ is placed at the centre of the shell and another charge $q'$ is placed outside it as shown in fig. All the three charges are positive. The force on the central charge due to the shell is :-
Assume that an electric field $\overrightarrow E = 30{x^2}\hat i$ exists in space. Then the potential difference $V_A -V_O$, where $V_O$ is the potential at the origin and $V_A$ the potential at $x = 2\, m$ is