Electrostatic Potential
« Previous Topic: Dipole Next Topic: Electrostatics of Conductors »
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359383 A charge \(Q\) is placed at each corner of a cube of side \(a\). The potential at the centre of the cube is:

1 \(\frac{{4Q}}{{4\pi {\varepsilon _0}a}}\)
2 \(\frac{{8Q}}{{\pi {\varepsilon _0}a}}\)
3 \(\frac{{2Q}}{{\pi {\varepsilon _0}a}}\)
4 \(\frac{{4Q}}{{\sqrt 3 \pi {\varepsilon _0}a}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359384 As shown in the figure, charges \(+q\) and \( - q\) are placed at the vertices \(B\) and \(C\) of an isosceles triangle. The potential at the vertex \(A\) is
supporting img

1 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{2 a}{\sqrt{a^{2}+b^{2}}}\)
2 zero
3 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{q}{\sqrt{a^{2}+b^{2}}}\)
4 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{(-q)}{\sqrt{a^{2}+b^{2}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359385 In a regular polygon of \({n}\) sides, each corner is at a distance \({r}\) from the center. Identical charges are placed at \({(n-1)}\) corners. At the centre, the intensity is \({E}\) and the potential is \({V}\). The ratio \({V / E}\) has magnitude

1 \({n r}\)
2 \({(n-1) r}\)
3 \({(n-1) / r}\)
4 \({r(n-1) / n}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359386 Considering a group of positive charges, which of the following statements is correct?

1 Net potential of the system cannot be zero at a point but net electric field can be zero at that point.
2 Net potential of the system at a point can be zero but net electric field can’t be zero at that point.
3 Both the net potential and the net electric field cannot be zero at a point.
4 Both the net potential and the net field can be zero at a point.
JEE - 2023
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359387 Point charges \({q_1} = 2\mu C\,{\rm{and}}\,{q_2} = - 1\mu C\) are kept at points \(x = 0\,{\rm{and}}\,x = 6\) respectively. Electrical potential will be zero at points

1 \(x = 1\,{\rm{and}}\,x = 5\)
2 \(x = 2\,{\rm{and}}\,x = 9\)
3 \(x = - 2\,{\rm{and}}\,x = 2\)
4 \(x = 4\,{\rm{and}}\,x = 12\)
NEET DIGITAL LIBRARY
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359383 A charge \(Q\) is placed at each corner of a cube of side \(a\). The potential at the centre of the cube is:

1 \(\frac{{4Q}}{{4\pi {\varepsilon _0}a}}\)
2 \(\frac{{8Q}}{{\pi {\varepsilon _0}a}}\)
3 \(\frac{{2Q}}{{\pi {\varepsilon _0}a}}\)
4 \(\frac{{4Q}}{{\sqrt 3 \pi {\varepsilon _0}a}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359384 As shown in the figure, charges \(+q\) and \( - q\) are placed at the vertices \(B\) and \(C\) of an isosceles triangle. The potential at the vertex \(A\) is
supporting img

1 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{2 a}{\sqrt{a^{2}+b^{2}}}\)
2 zero
3 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{q}{\sqrt{a^{2}+b^{2}}}\)
4 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{(-q)}{\sqrt{a^{2}+b^{2}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359385 In a regular polygon of \({n}\) sides, each corner is at a distance \({r}\) from the center. Identical charges are placed at \({(n-1)}\) corners. At the centre, the intensity is \({E}\) and the potential is \({V}\). The ratio \({V / E}\) has magnitude

1 \({n r}\)
2 \({(n-1) r}\)
3 \({(n-1) / r}\)
4 \({r(n-1) / n}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359386 Considering a group of positive charges, which of the following statements is correct?

1 Net potential of the system cannot be zero at a point but net electric field can be zero at that point.
2 Net potential of the system at a point can be zero but net electric field can’t be zero at that point.
3 Both the net potential and the net electric field cannot be zero at a point.
4 Both the net potential and the net field can be zero at a point.
JEE - 2023
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359387 Point charges \({q_1} = 2\mu C\,{\rm{and}}\,{q_2} = - 1\mu C\) are kept at points \(x = 0\,{\rm{and}}\,x = 6\) respectively. Electrical potential will be zero at points

1 \(x = 1\,{\rm{and}}\,x = 5\)
2 \(x = 2\,{\rm{and}}\,x = 9\)
3 \(x = - 2\,{\rm{and}}\,x = 2\)
4 \(x = 4\,{\rm{and}}\,x = 12\)
Join With Us for More Updates
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359383 A charge \(Q\) is placed at each corner of a cube of side \(a\). The potential at the centre of the cube is:

1 \(\frac{{4Q}}{{4\pi {\varepsilon _0}a}}\)
2 \(\frac{{8Q}}{{\pi {\varepsilon _0}a}}\)
3 \(\frac{{2Q}}{{\pi {\varepsilon _0}a}}\)
4 \(\frac{{4Q}}{{\sqrt 3 \pi {\varepsilon _0}a}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359384 As shown in the figure, charges \(+q\) and \( - q\) are placed at the vertices \(B\) and \(C\) of an isosceles triangle. The potential at the vertex \(A\) is
supporting img

1 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{2 a}{\sqrt{a^{2}+b^{2}}}\)
2 zero
3 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{q}{\sqrt{a^{2}+b^{2}}}\)
4 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{(-q)}{\sqrt{a^{2}+b^{2}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359385 In a regular polygon of \({n}\) sides, each corner is at a distance \({r}\) from the center. Identical charges are placed at \({(n-1)}\) corners. At the centre, the intensity is \({E}\) and the potential is \({V}\). The ratio \({V / E}\) has magnitude

1 \({n r}\)
2 \({(n-1) r}\)
3 \({(n-1) / r}\)
4 \({r(n-1) / n}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359386 Considering a group of positive charges, which of the following statements is correct?

1 Net potential of the system cannot be zero at a point but net electric field can be zero at that point.
2 Net potential of the system at a point can be zero but net electric field can’t be zero at that point.
3 Both the net potential and the net electric field cannot be zero at a point.
4 Both the net potential and the net field can be zero at a point.
JEE - 2023
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359387 Point charges \({q_1} = 2\mu C\,{\rm{and}}\,{q_2} = - 1\mu C\) are kept at points \(x = 0\,{\rm{and}}\,x = 6\) respectively. Electrical potential will be zero at points

1 \(x = 1\,{\rm{and}}\,x = 5\)
2 \(x = 2\,{\rm{and}}\,x = 9\)
3 \(x = - 2\,{\rm{and}}\,x = 2\)
4 \(x = 4\,{\rm{and}}\,x = 12\)
For More Updates join with Us
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359383 A charge \(Q\) is placed at each corner of a cube of side \(a\). The potential at the centre of the cube is:

1 \(\frac{{4Q}}{{4\pi {\varepsilon _0}a}}\)
2 \(\frac{{8Q}}{{\pi {\varepsilon _0}a}}\)
3 \(\frac{{2Q}}{{\pi {\varepsilon _0}a}}\)
4 \(\frac{{4Q}}{{\sqrt 3 \pi {\varepsilon _0}a}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359384 As shown in the figure, charges \(+q\) and \( - q\) are placed at the vertices \(B\) and \(C\) of an isosceles triangle. The potential at the vertex \(A\) is
supporting img

1 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{2 a}{\sqrt{a^{2}+b^{2}}}\)
2 zero
3 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{q}{\sqrt{a^{2}+b^{2}}}\)
4 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{(-q)}{\sqrt{a^{2}+b^{2}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359385 In a regular polygon of \({n}\) sides, each corner is at a distance \({r}\) from the center. Identical charges are placed at \({(n-1)}\) corners. At the centre, the intensity is \({E}\) and the potential is \({V}\). The ratio \({V / E}\) has magnitude

1 \({n r}\)
2 \({(n-1) r}\)
3 \({(n-1) / r}\)
4 \({r(n-1) / n}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359386 Considering a group of positive charges, which of the following statements is correct?

1 Net potential of the system cannot be zero at a point but net electric field can be zero at that point.
2 Net potential of the system at a point can be zero but net electric field can’t be zero at that point.
3 Both the net potential and the net electric field cannot be zero at a point.
4 Both the net potential and the net field can be zero at a point.
JEE - 2023
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359387 Point charges \({q_1} = 2\mu C\,{\rm{and}}\,{q_2} = - 1\mu C\) are kept at points \(x = 0\,{\rm{and}}\,x = 6\) respectively. Electrical potential will be zero at points

1 \(x = 1\,{\rm{and}}\,x = 5\)
2 \(x = 2\,{\rm{and}}\,x = 9\)
3 \(x = - 2\,{\rm{and}}\,x = 2\)
4 \(x = 4\,{\rm{and}}\,x = 12\)
NEET DIGITAL LIBRARY
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359383 A charge \(Q\) is placed at each corner of a cube of side \(a\). The potential at the centre of the cube is:

1 \(\frac{{4Q}}{{4\pi {\varepsilon _0}a}}\)
2 \(\frac{{8Q}}{{\pi {\varepsilon _0}a}}\)
3 \(\frac{{2Q}}{{\pi {\varepsilon _0}a}}\)
4 \(\frac{{4Q}}{{\sqrt 3 \pi {\varepsilon _0}a}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359384 As shown in the figure, charges \(+q\) and \( - q\) are placed at the vertices \(B\) and \(C\) of an isosceles triangle. The potential at the vertex \(A\) is
supporting img

1 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{2 a}{\sqrt{a^{2}+b^{2}}}\)
2 zero
3 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{q}{\sqrt{a^{2}+b^{2}}}\)
4 \(\dfrac{1}{4 \pi \varepsilon_{0}} \cdot \dfrac{(-q)}{\sqrt{a^{2}+b^{2}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359385 In a regular polygon of \({n}\) sides, each corner is at a distance \({r}\) from the center. Identical charges are placed at \({(n-1)}\) corners. At the centre, the intensity is \({E}\) and the potential is \({V}\). The ratio \({V / E}\) has magnitude

1 \({n r}\)
2 \({(n-1) r}\)
3 \({(n-1) / r}\)
4 \({r(n-1) / n}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359386 Considering a group of positive charges, which of the following statements is correct?

1 Net potential of the system cannot be zero at a point but net electric field can be zero at that point.
2 Net potential of the system at a point can be zero but net electric field can’t be zero at that point.
3 Both the net potential and the net electric field cannot be zero at a point.
4 Both the net potential and the net field can be zero at a point.
JEE - 2023
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359387 Point charges \({q_1} = 2\mu C\,{\rm{and}}\,{q_2} = - 1\mu C\) are kept at points \(x = 0\,{\rm{and}}\,x = 6\) respectively. Electrical potential will be zero at points

1 \(x = 1\,{\rm{and}}\,x = 5\)
2 \(x = 2\,{\rm{and}}\,x = 9\)
3 \(x = - 2\,{\rm{and}}\,x = 2\)
4 \(x = 4\,{\rm{and}}\,x = 12\)