$A$ circle of radius $R$ is drawn with a charge $+q$ at the centre. $A$ charge $q_0$ is moved from point $B$ to $C$ along the circumference of the circle. The work done is:

  • A
    positive
  • B
    negative
  • C
    zero
  • D
    infinite

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The figure shows a family of parallel equipotential surfaces and four paths along which an electron is made to move from one surface to another.
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$(II)$ Rank the paths according to the magnitude of work done, greatest first.

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The figure shows three points $A, B$ and $C$ in a region of uniform electric field $E$. The line $A B$ is perpendicular and $B C$ is parallel to the field lines. Then,which of the following holds good? ($V_{A}, V_{B}$ and $V_{C}$ represent the electric potential at points $A, B$ and $C$,respectively)

As shown in the figure below, a charge $+2 \text{ C}$ is situated at the origin $O$ and another charge $+5 \text{ C}$ is on the $x$-axis at point $A(2, 0) \text{ m}$. The charge at point $A$ is then moved to point $B(0, 2) \text{ m}$ on the $y$-axis. Calculate the work done. (Given $\frac{1}{4 \pi \varepsilon_{0}} = 9 \times 10^{9} \text{ N m}^2/\text{C}^2$)

$A$ point charge is placed at point $P$ as shown in the figure. $A$ hollow conducting sphere is placed in the electric field produced by it. If $V_A$,$V_B$,and $V_C$ are the potentials at points $A$,$B$,and $C$ respectively,then:

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