Relation between Field and Potential
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359537 Charge \(2q, - q\) and \( - q\) lie at the vertices of an equilateral triangle. The value of \(E\) and \(V\) at the centroid of the triangle will be

1 \(E = 0,\;V = 0\)
2 \(E = 0\;and\;V \ne 0\)
3 \(E \ne 0\;and\;V = 0\)
4 \(E \ne 0\;and\;V \ne 0\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359538 There is a uniform electric field of intensity \(A\) which is as shown. How many labelled points have the same electric potential as the fully shaded point?
supporting img

1 \(2\)
2 \(3\)
3 \(8\)
4 \(11\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359539 Two metal plates are separated by 2 \(cm\). The potentials of the plates are \( - 10\,V\,{\rm{and}}\, + 30\,V\) . The electric field between the two plates is

1 \(2000\,V{m^{ - 1}}\)
2 \(500\,V{m^{ - 1}}\)
3 \(3000\,V{m^{ - 1}}\)
4 \(1000\,V{m^{ - 1}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359540 The figure gives the electric potential \(V\) as a function of distance through four regions on \(X\)-axis. Which of the following is true for the magnitude of the electric field \(E\) in these regions?
supporting img

1 \({E_B} = {E_{D\,}}\,{\rm{and}}\,{E_A} < {E_C}\)
2 \({E_A} > {E_{B\,}}\, > \,{E_C} > {E_D}\)
3 \({E_A} < {E_{B\,}}\, < {E_C} < {E_D}\)
4 \({E_A} = {E_{C\,}}\,{\rm{and}}\,{E_B} < {E_D}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359537 Charge \(2q, - q\) and \( - q\) lie at the vertices of an equilateral triangle. The value of \(E\) and \(V\) at the centroid of the triangle will be

1 \(E = 0,\;V = 0\)
2 \(E = 0\;and\;V \ne 0\)
3 \(E \ne 0\;and\;V = 0\)
4 \(E \ne 0\;and\;V \ne 0\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359538 There is a uniform electric field of intensity \(A\) which is as shown. How many labelled points have the same electric potential as the fully shaded point?
supporting img

1 \(2\)
2 \(3\)
3 \(8\)
4 \(11\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359539 Two metal plates are separated by 2 \(cm\). The potentials of the plates are \( - 10\,V\,{\rm{and}}\, + 30\,V\) . The electric field between the two plates is

1 \(2000\,V{m^{ - 1}}\)
2 \(500\,V{m^{ - 1}}\)
3 \(3000\,V{m^{ - 1}}\)
4 \(1000\,V{m^{ - 1}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359540 The figure gives the electric potential \(V\) as a function of distance through four regions on \(X\)-axis. Which of the following is true for the magnitude of the electric field \(E\) in these regions?
supporting img

1 \({E_B} = {E_{D\,}}\,{\rm{and}}\,{E_A} < {E_C}\)
2 \({E_A} > {E_{B\,}}\, > \,{E_C} > {E_D}\)
3 \({E_A} < {E_{B\,}}\, < {E_C} < {E_D}\)
4 \({E_A} = {E_{C\,}}\,{\rm{and}}\,{E_B} < {E_D}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359537 Charge \(2q, - q\) and \( - q\) lie at the vertices of an equilateral triangle. The value of \(E\) and \(V\) at the centroid of the triangle will be

1 \(E = 0,\;V = 0\)
2 \(E = 0\;and\;V \ne 0\)
3 \(E \ne 0\;and\;V = 0\)
4 \(E \ne 0\;and\;V \ne 0\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359538 There is a uniform electric field of intensity \(A\) which is as shown. How many labelled points have the same electric potential as the fully shaded point?
supporting img

1 \(2\)
2 \(3\)
3 \(8\)
4 \(11\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359539 Two metal plates are separated by 2 \(cm\). The potentials of the plates are \( - 10\,V\,{\rm{and}}\, + 30\,V\) . The electric field between the two plates is

1 \(2000\,V{m^{ - 1}}\)
2 \(500\,V{m^{ - 1}}\)
3 \(3000\,V{m^{ - 1}}\)
4 \(1000\,V{m^{ - 1}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359540 The figure gives the electric potential \(V\) as a function of distance through four regions on \(X\)-axis. Which of the following is true for the magnitude of the electric field \(E\) in these regions?
supporting img

1 \({E_B} = {E_{D\,}}\,{\rm{and}}\,{E_A} < {E_C}\)
2 \({E_A} > {E_{B\,}}\, > \,{E_C} > {E_D}\)
3 \({E_A} < {E_{B\,}}\, < {E_C} < {E_D}\)
4 \({E_A} = {E_{C\,}}\,{\rm{and}}\,{E_B} < {E_D}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359537 Charge \(2q, - q\) and \( - q\) lie at the vertices of an equilateral triangle. The value of \(E\) and \(V\) at the centroid of the triangle will be

1 \(E = 0,\;V = 0\)
2 \(E = 0\;and\;V \ne 0\)
3 \(E \ne 0\;and\;V = 0\)
4 \(E \ne 0\;and\;V \ne 0\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359538 There is a uniform electric field of intensity \(A\) which is as shown. How many labelled points have the same electric potential as the fully shaded point?
supporting img

1 \(2\)
2 \(3\)
3 \(8\)
4 \(11\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359539 Two metal plates are separated by 2 \(cm\). The potentials of the plates are \( - 10\,V\,{\rm{and}}\, + 30\,V\) . The electric field between the two plates is

1 \(2000\,V{m^{ - 1}}\)
2 \(500\,V{m^{ - 1}}\)
3 \(3000\,V{m^{ - 1}}\)
4 \(1000\,V{m^{ - 1}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359540 The figure gives the electric potential \(V\) as a function of distance through four regions on \(X\)-axis. Which of the following is true for the magnitude of the electric field \(E\) in these regions?
supporting img

1 \({E_B} = {E_{D\,}}\,{\rm{and}}\,{E_A} < {E_C}\)
2 \({E_A} > {E_{B\,}}\, > \,{E_C} > {E_D}\)
3 \({E_A} < {E_{B\,}}\, < {E_C} < {E_D}\)
4 \({E_A} = {E_{C\,}}\,{\rm{and}}\,{E_B} < {E_D}\)