Four charges of 1 μ C, 2 μ C, 3 μ C, and - 6 μ C are placed one at each corner

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2. Electric Potential and Capacitance

hard

Four charges of $1\ \mu C, 2\ \mu C, 3\ \mu C,$ and $- 6\ \mu C$ are placed one at each corner of the square of side $1\,m$. The square lies in the $x-y$ plane with its centre at the origin.

The electric potential is zero at the origin.

The electric potential is zero everywhere along the $x-$axis only of the sides of the square are parallel to $x $ and $y$ axis.

The electric potential is zero everywhere along the $z-$axis for any orientation of the square in the $x- y$ plane.

$A$ and $C$ both

Solution

Electric field at origin= sum of electric field due to individual charges
Then,
option $C$ is correct because electric field is not zero along z-axis as a every point the potential
equals sum of potential due to individual charges which can never be zero.

Standard 12

Physics

There are four concentric shells $A, B, C $ and $D $ of radii $ a, 2a, 3a$ and $4a$ respectively. Shells $B$ and $D$ are given charges $+q$ and $-q$ respectively. Shell $C$ is now earthed. The potential difference $V_A – V_C $ is :

normal

Prove that, if an insulated, uncharged conductor is placed near a charged conductor and no other conductors are present, the uncharged body must be intermediate in potential between that of the charged body and that of infinity.

medium

Potential difference between centre $\&$ the surface of sphere of radius $R$ and uniform volume charge density $\rho$ within it will be :

normal

A neutral spherical copper particle has a radius of $10 \,nm \left(1 \,nm =10^{-9} \,m \right)$. It gets charged by applying the voltage slowly adding one electron at a time. Then, the graph of the total charge on the particle versus the applied voltage would look like

normal

(KVPY-2019)

In an hydrogen atom, the electron revolves around the nucleus in an orbit of radius $0.53 \times {10^{ – 10}}\,m$. Then the electrical potential produced by the nucleus at the position of the electron is……$V$

easy

Four charges of $1\ \mu C, 2\ \mu C, 3\ \mu C,$ and $- 6\ \mu C$ are placed one at each corner of the square of side $1\,m$. The square lies in the $x-y$ plane with its centre at the origin.

Solution

Similar Questions

There are four concentric shells $A, B, C $ and $D $ of radii $ a, 2a, 3a$ and $4a$ respectively. Shells $B$ and $D$ are given charges $+q$ and $-q$ respectively. Shell $C$ is now earthed. The potential difference $V_A – V_C $ is :

Prove that, if an insulated, uncharged conductor is placed near a charged conductor and no other conductors are present, the uncharged body must be intermediate in potential between that of the charged body and that of infinity.

Potential difference between centre $\&$ the surface of sphere of radius $R$ and uniform volume charge density $\rho$ within it will be :

A neutral spherical copper particle has a radius of $10 \,nm \left(1 \,nm =10^{-9} \,m \right)$. It gets charged by applying the voltage slowly adding one electron at a time. Then, the graph of the total charge on the particle versus the applied voltage would look like

In an hydrogen atom, the electron revolves around the nucleus in an orbit of radius $0.53 \times {10^{ – 10}}\,m$. Then the electrical potential produced by the nucleus at the position of the electron is……$V$

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