Electric potential V at any point (x,y,z) in space is given by equation V = 4x^2,volt where x, y and

English

Gujarati

Hindi

1. Electric Charges and Fields

normal

The electric potential $V$ at any point $(x,y,z)$ in space is given by equation $V = 4x^2\,volt$ where $x, y$ and $z$ are all in metre. The electric field at the point $(1\,m, 0, 2\,m)$ in $V/m$ is

$8$ along negative $x-$ axis

$8$ along positive $x-$ axis

$16$ along negative $x-$ axis

$16$ along positive $x-$ axis

Solution

$\overrightarrow{\mathrm{E}}=-\left[\hat{\mathrm{i}} \frac{\partial \mathrm{V}}{\partial \mathrm{x}}+\hat{\mathrm{j}} \frac{\partial \mathrm{V}}{\partial \mathrm{y}}+\hat{\mathrm{k}} \frac{\partial \mathrm{V}}{\partial \mathrm{z}}\right]$

Given $\mathrm{V}=4 \mathrm{x}^{2}$

$\overrightarrow{\mathrm{E}}=-\hat{\mathrm{i}}(8 \mathrm{x})[$ Magnitude of $\overrightarrow{\mathrm{E}} \text { is }-8 \mathrm{\,V} / \mathrm{m}]$

Hence, electric field is $8 \mathrm{V} / \mathrm{m}$ along negative $\mathrm{X}$ -axis.

Standard 12

Physics

A parallel plate capacitor is charged to a potential difference of $100\ V$ and disconnected from the source of emf. A slab of dielectric is then inserted between the plates. Which of the following three quantities change?

$(i)$ The potential difference
$(ii)$ The capacitance
$(iii)$ The charge on the plates

normal

The four capacitors, each of $25\,\mu F$ are connected as shown in Fig. The $dc$ voltmeter reads $200\,V$. The charge on each plate of capacitor is

normal

The equivalent capacitance of the system of capacitors between $A$ and $B$ as shown in the figure

normal

A charged particle $'q'$ is shot from a large distance with speed $v$ towards a fixed charged particle $Q$. It apporaches $Q$ upto a closet distance $r$ and then returns. If $q$ were given a speed $'2v$', the closest distance of approach would be

normal

Two point charges placed at a distance $r$ in air experience a certain force. Then the distance at which they will experience the same force in a medium of dielectric constant $K$ is

normal

The electric potential $V$ at any point $(x,y,z)$ in space is given by equation $V = 4x^2\,volt$ where $x, y$ and $z$ are all in metre. The electric field at the point $(1\,m, 0, 2\,m)$ in $V/m$ is

Solution

Similar Questions

The four capacitors, each of $25\,\mu F$ are connected as shown in Fig. The $dc$ voltmeter reads $200\,V$. The charge on each plate of capacitor is

The equivalent capacitance of the system of capacitors between $A$ and $B$ as shown in the figure

A charged particle $'q'$ is shot from a large distance with speed $v$ towards a fixed charged particle $Q$. It apporaches $Q$ upto a closet distance $r$ and then returns. If $q$ were given a speed $'2v$', the closest distance of approach would be

Two point charges placed at a distance $r$ in air experience a certain force. Then the distance at which they will experience the same force in a medium of dielectric constant $K$ is

Start a Free Trial Now