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Two equal point charges are fixed at $x = - a$ and $x = + a$ on the $x-$axis. Another point charge $Q$ is placed at the origin. The Change in the electrical potential energy of $Q$, when it is displaced by a small distance $x$ along the $x$-axis, is approximately proportional to
The following arrangement consists of five identical metal plates parallel to each other. Area of each plate is $A$ and separation between the successive plates is $d$. The capacitance between $P$ and $Q$ is
Two capacitors connected in parallel having the capacities ${C_1}$ and ${C_2}$ are given $'q'$ charge, which is distributed among them. The ratio of the charge on ${C_1}$ and ${C_2}$ will be
In the circuit below $C_1=20 \,\mu F , C_2=40 \,\mu F$ and $C_3=50 \,\mu F$. If no capacitor can sustain more than $50 \,V$, then maximum potential difference between $X$ and $Y$ is .......... $V$
An electric field $\vec E\, = (25 \hat i + 30 \hat j)\,NC^{-1}$ exists in a region of space. If the potential at the origin is taken to be zero then the potential at $x\, = 2\, m, y\, = 2\, m$ is......$volt$
Charges $+q$ and $-q$ are placed at points $A$ and $B$ respectively which are a distance $2\,L$ apart, $C$ is the midpoint between $A$ and $B.$ The work done in moving a charge $+Q$ along the semicircle $CRD$ is
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.)