Electric Potential and Capacitance | Physics JEE previous year questions with Solutions

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Topic Question Set

Q 21 :

There are three co-centric conducting spherical shells A, B and C of radii $a$ , $b$ and $c$ respectively $(c > b > a)$ and they are charged with charges $q_{1}$ , $q_{2}$ and $q_{3}$ respectively. The potentials of the spheres A, B and C respectively, are: [2026]

$\frac{1}{4 π ε_{0}} (\frac{q_{1} + q_{2} + q_{3}}{a}), \frac{1}{4 π ε_{0}} (\frac{q_{1} + q_{2} + q_{3}}{b}), \frac{1}{4 π ε_{0}} (\frac{q_{1} + q_{2} + q_{3}}{c})$
$\frac{1}{4 π ε_{0}} (\frac{q_{1}}{a} + \frac{q_{2}}{b} + \frac{q_{3}}{c}), \frac{1}{4 π ε_{0}} (\frac{q_{1} + q_{2}}{b} + \frac{q_{3}}{c}), \frac{1}{4 π ε_{0}} (\frac{q_{1} + q_{2} + q_{3}}{c})$
$\frac{1}{4 π ε_{0}} (\frac{q_{1}}{a} + \frac{q_{2}}{b} + \frac{q_{3}}{c}), \frac{1}{4 π ε_{0}} (\frac{q_{1} + q_{2} + q_{3}}{b}), \frac{1}{4 π ε_{0}} (\frac{q_{1} + q_{2} + q_{3}}{c})$
$\frac{1}{4 π ε_{0}} (\frac{q_{1} + q_{2} + q_{3}}{a}), \frac{1}{4 π ε_{0}} (\frac{q_{1} + q_{2}}{b} + \frac{q_{3}}{c}), \frac{1}{4 π ε_{0}} (\frac{q_{1}}{a} + \frac{q_{2}}{b} + \frac{q_{3}}{c})$

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Q 22 :

The electrostatic potential in a charged spherical region of radius $r$ varies as $V = a r^{3} + b,$ where $a$ and $b$ are constants. The total charge in the sphere of unit radius is $α \times π a ε_{0}$ . The value of $α$ is _________.

(Permittivity of vacuum is $ε_{0}$ ) [2026]

− 12
− 8
− 9
− 6

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Q 23 :

Electric field in a region is given by $\vec{E} = A x \hat{i} + B y \hat{j},$ where $A = 10 {V/m}^{2}$ and $B = 5 {V/m}^{2}$ . If the electric potential at a point (10, 20) is 500 V, then the electric potential at the origin is ________ V. [2026]

1000
0
500
2000

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Q 24 :

Three small identical bubbles of water having same charge on each coalesce to form a bigger bubble. Then the ratio of the potentials on one initial bubble and that on the resultant bigger bubble is : [2026]

$3^{2 / 3} : 1$
$1 : 3^{1 / 3}$
$1 : 2^{2 / 3}$
$1 : 3^{2 / 3}$

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Q 25 :

Five positive charges each having charge q are placed at the vertices of a pentagon as shown in the figure.The electric potential (V) and the electric field $(\vec{E})$ at the center O of the pentagon due to these five positive charges are: [2026]

$V = \frac{5 q}{4 π ε_{0} r} a n d \vec{E} = \frac{5 q}{4 π ε_{0} r^{2}} \hat{r}$
$V = \frac{5 q}{4 π ε_{0} r} a n d \vec{E} = 0$
$V = 0 a n d \vec{E} = 0$
$V = \frac{5 q}{4 π ε_{0} r} a n d \vec{E} = \frac{5 \sqrt{3} q}{8 π ε_{0} r^{2}} \hat{r}$

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