Relation between Field and Potential
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359533 Potential varies along \({x}\)-axis according to the equation \({V=2 x^{4}}\) Volt. \({x}\)-component of electric field at \({x=1 m}\) is

1 \({-2 N / C}\)
2 \({-4 N / C}\)
3 \({-8 N / C}\)
4 \({-\dfrac{2}{5} N / C}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359534 Assume that an electric field \(\overrightarrow E = 30{{\rm{x}}^2}\hat i\) exists in space. Then the potential difference \({V_A} - {V_O}\), where \({V_O}\) is the potential at the origin and \({V_A}\) the potential at \({\rm{x = }}2{\rm{m}}\) is

1 \( - 120\,{\rm{V}}\)
2 \(120\,{\rm{V}}\)
3 \( - 80\,{\rm{V}}\)
4 \(80\,{\rm{V}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359535 The potential field of an electric field \(\overrightarrow E = (y\hat i + x\hat j)\) is

1 \(V = \) constant
2 \(V\, = - xy\, + \) constant
3 \(V = - ({\rm{x + }}y) + \) constant
4 \(V = - ({x^2} + {y^2}) + \) constant
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359536 Equipotential surfaces are shown in figure. Then the electric field strength will be
supporting img

1 \(100\,V{m^{ - 1}}\) along \(X\) - axis
2 \(100\,V{m^{ - 1}}\) along \(Y\) - axis
3 \(200\,V{m^{ - 1}}\) at an angle \(120^{\circ}\) with \(X\) - axis
4 \(50\,V{m^{ - 1}}\) at angle \(120^{\circ}\) with \(X\) - axis
MHTCET - 2021
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359533 Potential varies along \({x}\)-axis according to the equation \({V=2 x^{4}}\) Volt. \({x}\)-component of electric field at \({x=1 m}\) is

1 \({-2 N / C}\)
2 \({-4 N / C}\)
3 \({-8 N / C}\)
4 \({-\dfrac{2}{5} N / C}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359534 Assume that an electric field \(\overrightarrow E = 30{{\rm{x}}^2}\hat i\) exists in space. Then the potential difference \({V_A} - {V_O}\), where \({V_O}\) is the potential at the origin and \({V_A}\) the potential at \({\rm{x = }}2{\rm{m}}\) is

1 \( - 120\,{\rm{V}}\)
2 \(120\,{\rm{V}}\)
3 \( - 80\,{\rm{V}}\)
4 \(80\,{\rm{V}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359535 The potential field of an electric field \(\overrightarrow E = (y\hat i + x\hat j)\) is

1 \(V = \) constant
2 \(V\, = - xy\, + \) constant
3 \(V = - ({\rm{x + }}y) + \) constant
4 \(V = - ({x^2} + {y^2}) + \) constant
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359536 Equipotential surfaces are shown in figure. Then the electric field strength will be
supporting img

1 \(100\,V{m^{ - 1}}\) along \(X\) - axis
2 \(100\,V{m^{ - 1}}\) along \(Y\) - axis
3 \(200\,V{m^{ - 1}}\) at an angle \(120^{\circ}\) with \(X\) - axis
4 \(50\,V{m^{ - 1}}\) at angle \(120^{\circ}\) with \(X\) - axis
MHTCET - 2021
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359533 Potential varies along \({x}\)-axis according to the equation \({V=2 x^{4}}\) Volt. \({x}\)-component of electric field at \({x=1 m}\) is

1 \({-2 N / C}\)
2 \({-4 N / C}\)
3 \({-8 N / C}\)
4 \({-\dfrac{2}{5} N / C}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359534 Assume that an electric field \(\overrightarrow E = 30{{\rm{x}}^2}\hat i\) exists in space. Then the potential difference \({V_A} - {V_O}\), where \({V_O}\) is the potential at the origin and \({V_A}\) the potential at \({\rm{x = }}2{\rm{m}}\) is

1 \( - 120\,{\rm{V}}\)
2 \(120\,{\rm{V}}\)
3 \( - 80\,{\rm{V}}\)
4 \(80\,{\rm{V}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359535 The potential field of an electric field \(\overrightarrow E = (y\hat i + x\hat j)\) is

1 \(V = \) constant
2 \(V\, = - xy\, + \) constant
3 \(V = - ({\rm{x + }}y) + \) constant
4 \(V = - ({x^2} + {y^2}) + \) constant
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359536 Equipotential surfaces are shown in figure. Then the electric field strength will be
supporting img

1 \(100\,V{m^{ - 1}}\) along \(X\) - axis
2 \(100\,V{m^{ - 1}}\) along \(Y\) - axis
3 \(200\,V{m^{ - 1}}\) at an angle \(120^{\circ}\) with \(X\) - axis
4 \(50\,V{m^{ - 1}}\) at angle \(120^{\circ}\) with \(X\) - axis
MHTCET - 2021
For More Updates join with Us
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359533 Potential varies along \({x}\)-axis according to the equation \({V=2 x^{4}}\) Volt. \({x}\)-component of electric field at \({x=1 m}\) is

1 \({-2 N / C}\)
2 \({-4 N / C}\)
3 \({-8 N / C}\)
4 \({-\dfrac{2}{5} N / C}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359534 Assume that an electric field \(\overrightarrow E = 30{{\rm{x}}^2}\hat i\) exists in space. Then the potential difference \({V_A} - {V_O}\), where \({V_O}\) is the potential at the origin and \({V_A}\) the potential at \({\rm{x = }}2{\rm{m}}\) is

1 \( - 120\,{\rm{V}}\)
2 \(120\,{\rm{V}}\)
3 \( - 80\,{\rm{V}}\)
4 \(80\,{\rm{V}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359535 The potential field of an electric field \(\overrightarrow E = (y\hat i + x\hat j)\) is

1 \(V = \) constant
2 \(V\, = - xy\, + \) constant
3 \(V = - ({\rm{x + }}y) + \) constant
4 \(V = - ({x^2} + {y^2}) + \) constant
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359536 Equipotential surfaces are shown in figure. Then the electric field strength will be
supporting img

1 \(100\,V{m^{ - 1}}\) along \(X\) - axis
2 \(100\,V{m^{ - 1}}\) along \(Y\) - axis
3 \(200\,V{m^{ - 1}}\) at an angle \(120^{\circ}\) with \(X\) - axis
4 \(50\,V{m^{ - 1}}\) at angle \(120^{\circ}\) with \(X\) - axis
MHTCET - 2021