EQUIPOTENTIAL SURFACES
Electrostatic Potentials and Capacitance

272246 Two metal pieces having a potential difference of 800 V are 0.02 m apart horizontally. A particle of mass \(1.96 \times\) \(10^{-15} \mathrm{~kg}\) is suspended in equilibrium between the plates. If \(e\) is the elementary charge, then charge on the particle is

1 8
2 6
3 0.1
4 3
Electrostatic Potentials and Capacitance

272247 A point charge of magnitude \(+1 \mu \mathrm{C}\) is fixed at \((0,0,0)\). An isolated uncharged spherical conductor, is fixed with its center at ( \(4,0,0\) ). The potential and the induced electric field at the centre of the sphere is :

1 \(1.8 \times 10^5 \mathrm{~V}\) and \(-5.625 \times 10^6 \mathrm{~V} / \mathrm{m}\)
2 0 V and\(0 \mathrm{~V} / \mathrm{m}\)
3 \(2.25 \times 10^5 \mathrm{~V}\) and \(-5.625 \times 10^6 \mathrm{~V} / \mathrm{m}\)
4 \(2.25 \times 10^5 \mathrm{~V}\) and \(0 \mathrm{~V} / \mathrm{m}\)
Electrostatic Potentials and Capacitance

272248 The electric potential at a point \((x, y)\) in the \(x\) - \(y\) plane is given by \(\mathrm{V}=-\mathrm{kxy}\). The field intensity at a distance \(\mathbf{r}\) from the origin varies as

1 \(r^2\)
2 \(r\)
3 \(\frac{1}{r}\)
4 \(\frac{1}{T^2}\)
Electrostatic Potentials and Capacitance

272242 Equipotential surfaces are shown in figure. Then the electric field strength will be

1 \(100 \mathrm{Vm}^{-1}\) along X -axis
2 \(100 \mathrm{Vm}^{-1}\) along V -axis
3 \(200 \mathrm{Vm}^{-1}\) at an angle \(120^{\circ}\) with X -axis
4 \(50 \mathrm{Vm}^{-1}\) at an angle \(120^{\circ}\) with X -axis
Electrostatic Potentials and Capacitance

272246 Two metal pieces having a potential difference of 800 V are 0.02 m apart horizontally. A particle of mass \(1.96 \times\) \(10^{-15} \mathrm{~kg}\) is suspended in equilibrium between the plates. If \(e\) is the elementary charge, then charge on the particle is

1 8
2 6
3 0.1
4 3
Electrostatic Potentials and Capacitance

272247 A point charge of magnitude \(+1 \mu \mathrm{C}\) is fixed at \((0,0,0)\). An isolated uncharged spherical conductor, is fixed with its center at ( \(4,0,0\) ). The potential and the induced electric field at the centre of the sphere is :

1 \(1.8 \times 10^5 \mathrm{~V}\) and \(-5.625 \times 10^6 \mathrm{~V} / \mathrm{m}\)
2 0 V and\(0 \mathrm{~V} / \mathrm{m}\)
3 \(2.25 \times 10^5 \mathrm{~V}\) and \(-5.625 \times 10^6 \mathrm{~V} / \mathrm{m}\)
4 \(2.25 \times 10^5 \mathrm{~V}\) and \(0 \mathrm{~V} / \mathrm{m}\)
Electrostatic Potentials and Capacitance

272248 The electric potential at a point \((x, y)\) in the \(x\) - \(y\) plane is given by \(\mathrm{V}=-\mathrm{kxy}\). The field intensity at a distance \(\mathbf{r}\) from the origin varies as

1 \(r^2\)
2 \(r\)
3 \(\frac{1}{r}\)
4 \(\frac{1}{T^2}\)
Electrostatic Potentials and Capacitance

272242 Equipotential surfaces are shown in figure. Then the electric field strength will be

1 \(100 \mathrm{Vm}^{-1}\) along X -axis
2 \(100 \mathrm{Vm}^{-1}\) along V -axis
3 \(200 \mathrm{Vm}^{-1}\) at an angle \(120^{\circ}\) with X -axis
4 \(50 \mathrm{Vm}^{-1}\) at an angle \(120^{\circ}\) with X -axis
Electrostatic Potentials and Capacitance

272246 Two metal pieces having a potential difference of 800 V are 0.02 m apart horizontally. A particle of mass \(1.96 \times\) \(10^{-15} \mathrm{~kg}\) is suspended in equilibrium between the plates. If \(e\) is the elementary charge, then charge on the particle is

1 8
2 6
3 0.1
4 3
Electrostatic Potentials and Capacitance

272247 A point charge of magnitude \(+1 \mu \mathrm{C}\) is fixed at \((0,0,0)\). An isolated uncharged spherical conductor, is fixed with its center at ( \(4,0,0\) ). The potential and the induced electric field at the centre of the sphere is :

1 \(1.8 \times 10^5 \mathrm{~V}\) and \(-5.625 \times 10^6 \mathrm{~V} / \mathrm{m}\)
2 0 V and\(0 \mathrm{~V} / \mathrm{m}\)
3 \(2.25 \times 10^5 \mathrm{~V}\) and \(-5.625 \times 10^6 \mathrm{~V} / \mathrm{m}\)
4 \(2.25 \times 10^5 \mathrm{~V}\) and \(0 \mathrm{~V} / \mathrm{m}\)
Electrostatic Potentials and Capacitance

272248 The electric potential at a point \((x, y)\) in the \(x\) - \(y\) plane is given by \(\mathrm{V}=-\mathrm{kxy}\). The field intensity at a distance \(\mathbf{r}\) from the origin varies as

1 \(r^2\)
2 \(r\)
3 \(\frac{1}{r}\)
4 \(\frac{1}{T^2}\)
Electrostatic Potentials and Capacitance

272242 Equipotential surfaces are shown in figure. Then the electric field strength will be

1 \(100 \mathrm{Vm}^{-1}\) along X -axis
2 \(100 \mathrm{Vm}^{-1}\) along V -axis
3 \(200 \mathrm{Vm}^{-1}\) at an angle \(120^{\circ}\) with X -axis
4 \(50 \mathrm{Vm}^{-1}\) at an angle \(120^{\circ}\) with X -axis
Electrostatic Potentials and Capacitance

272246 Two metal pieces having a potential difference of 800 V are 0.02 m apart horizontally. A particle of mass \(1.96 \times\) \(10^{-15} \mathrm{~kg}\) is suspended in equilibrium between the plates. If \(e\) is the elementary charge, then charge on the particle is

1 8
2 6
3 0.1
4 3
Electrostatic Potentials and Capacitance

272247 A point charge of magnitude \(+1 \mu \mathrm{C}\) is fixed at \((0,0,0)\). An isolated uncharged spherical conductor, is fixed with its center at ( \(4,0,0\) ). The potential and the induced electric field at the centre of the sphere is :

1 \(1.8 \times 10^5 \mathrm{~V}\) and \(-5.625 \times 10^6 \mathrm{~V} / \mathrm{m}\)
2 0 V and\(0 \mathrm{~V} / \mathrm{m}\)
3 \(2.25 \times 10^5 \mathrm{~V}\) and \(-5.625 \times 10^6 \mathrm{~V} / \mathrm{m}\)
4 \(2.25 \times 10^5 \mathrm{~V}\) and \(0 \mathrm{~V} / \mathrm{m}\)
Electrostatic Potentials and Capacitance

272248 The electric potential at a point \((x, y)\) in the \(x\) - \(y\) plane is given by \(\mathrm{V}=-\mathrm{kxy}\). The field intensity at a distance \(\mathbf{r}\) from the origin varies as

1 \(r^2\)
2 \(r\)
3 \(\frac{1}{r}\)
4 \(\frac{1}{T^2}\)
Electrostatic Potentials and Capacitance

272242 Equipotential surfaces are shown in figure. Then the electric field strength will be

1 \(100 \mathrm{Vm}^{-1}\) along X -axis
2 \(100 \mathrm{Vm}^{-1}\) along V -axis
3 \(200 \mathrm{Vm}^{-1}\) at an angle \(120^{\circ}\) with X -axis
4 \(50 \mathrm{Vm}^{-1}\) at an angle \(120^{\circ}\) with X -axis