Embibe Experts Solutions for Exercise 9: Assignment

The field potential inside a charged ball of radius $R$ and centre at $O$ depends only on distance from its centre as $V\left(r\right)=\alpha r^2+\beta$ when $\alpha , \beta$ are $+ve$ constant. Now choose correct options

A thread, bent in the form of a semi circle of radius $R$, is placed in $y-z$ plane, with its centre at the origin. The charge per unit length of the thread is $\lambda .$ Select the correct alternatives.

Figure shows a set of equipotential surfaces. There are a few points marked on them. An electron is being moved from one point to other. Which of the following statements is/are correct?

A point charge $q$, is placed at a distance $r$ from the centre of an aluminium sphere, of radius $R\left(r>R\right).$ Select the correct alternatives.

Figure shows three concentric conducting spherical shells of radii $a, b$ and $c\left(c>b>a\right).$ The innermost and outermost shell are given charges $Q_1$ and $Q_2$ respectively, and the middle shell has been earthed. Select the correct alternative(s).

Initially $C_1$ has charge $2CV$and $k_1 \& k_2$ are open.

Consider the electrical circuit shown. A potential difference $V$ exists between $A$ and $B.$ The charges on various capacitors are shown. Select the correct relationship(s).

When a dielectric slab is inserted between the plates of one of the two identical capacitors in figure, which of the following properties increase?