Electrostatic Potential
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359396 If 1000 droplets each of potential \(1\;V\) and radius \(r\) are combined to form a big drop. Then, the potential of the drop as compared to small droplets will be

1 \(1000\;V\)
2 \(800\;V\)
3 \(100\;V\)
4 \(20\;V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359397 A spherical shell having radius \(R\) has a charge density \(\sigma \) on its surface. The electric pressure on the shell is directly proportional to

1 \({\sigma ^2}\)
2 \(\sigma \)
3 \({\sigma ^3}\)
4 \(\sqrt \sigma \)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359398 A solid metal sphere of radius \(50\;cm\) carries a charge \(25 \times {10^{ - 10}}C\). The electrostatic potential at the surface of the sphere will be

1 \(25\;V\)
2 \(15\;V\)
3 \(35\;V\)
4 \(45\;V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359399 \(N\) small drops of the same size are charged to \(V\) volt each. If they coalesce to form a single large drop, then its potential will be

1 \(V{N^{1/3}}\)
2 \(V/N\)
3 \(NV\)
4 \(V{N^{2/3}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359400 Two isolated metallic solid spheres of radii \(R\) and \(2\,R\) are charged such that both have same charge density \(\sigma \). The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is \({{\sigma ^\prime }}\). The ratio \(\frac{{{\sigma ^\prime }}}{\sigma }\) is

1 \(\frac{5}{3}\)
2 \(\frac{9}{4}\)
3 \(\frac{5}{6}\)
4 \(\frac{4}{3}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359396 If 1000 droplets each of potential \(1\;V\) and radius \(r\) are combined to form a big drop. Then, the potential of the drop as compared to small droplets will be

1 \(1000\;V\)
2 \(800\;V\)
3 \(100\;V\)
4 \(20\;V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359397 A spherical shell having radius \(R\) has a charge density \(\sigma \) on its surface. The electric pressure on the shell is directly proportional to

1 \({\sigma ^2}\)
2 \(\sigma \)
3 \({\sigma ^3}\)
4 \(\sqrt \sigma \)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359398 A solid metal sphere of radius \(50\;cm\) carries a charge \(25 \times {10^{ - 10}}C\). The electrostatic potential at the surface of the sphere will be

1 \(25\;V\)
2 \(15\;V\)
3 \(35\;V\)
4 \(45\;V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359399 \(N\) small drops of the same size are charged to \(V\) volt each. If they coalesce to form a single large drop, then its potential will be

1 \(V{N^{1/3}}\)
2 \(V/N\)
3 \(NV\)
4 \(V{N^{2/3}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359400 Two isolated metallic solid spheres of radii \(R\) and \(2\,R\) are charged such that both have same charge density \(\sigma \). The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is \({{\sigma ^\prime }}\). The ratio \(\frac{{{\sigma ^\prime }}}{\sigma }\) is

1 \(\frac{5}{3}\)
2 \(\frac{9}{4}\)
3 \(\frac{5}{6}\)
4 \(\frac{4}{3}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359396 If 1000 droplets each of potential \(1\;V\) and radius \(r\) are combined to form a big drop. Then, the potential of the drop as compared to small droplets will be

1 \(1000\;V\)
2 \(800\;V\)
3 \(100\;V\)
4 \(20\;V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359397 A spherical shell having radius \(R\) has a charge density \(\sigma \) on its surface. The electric pressure on the shell is directly proportional to

1 \({\sigma ^2}\)
2 \(\sigma \)
3 \({\sigma ^3}\)
4 \(\sqrt \sigma \)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359398 A solid metal sphere of radius \(50\;cm\) carries a charge \(25 \times {10^{ - 10}}C\). The electrostatic potential at the surface of the sphere will be

1 \(25\;V\)
2 \(15\;V\)
3 \(35\;V\)
4 \(45\;V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359399 \(N\) small drops of the same size are charged to \(V\) volt each. If they coalesce to form a single large drop, then its potential will be

1 \(V{N^{1/3}}\)
2 \(V/N\)
3 \(NV\)
4 \(V{N^{2/3}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359400 Two isolated metallic solid spheres of radii \(R\) and \(2\,R\) are charged such that both have same charge density \(\sigma \). The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is \({{\sigma ^\prime }}\). The ratio \(\frac{{{\sigma ^\prime }}}{\sigma }\) is

1 \(\frac{5}{3}\)
2 \(\frac{9}{4}\)
3 \(\frac{5}{6}\)
4 \(\frac{4}{3}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359396 If 1000 droplets each of potential \(1\;V\) and radius \(r\) are combined to form a big drop. Then, the potential of the drop as compared to small droplets will be

1 \(1000\;V\)
2 \(800\;V\)
3 \(100\;V\)
4 \(20\;V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359397 A spherical shell having radius \(R\) has a charge density \(\sigma \) on its surface. The electric pressure on the shell is directly proportional to

1 \({\sigma ^2}\)
2 \(\sigma \)
3 \({\sigma ^3}\)
4 \(\sqrt \sigma \)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359398 A solid metal sphere of radius \(50\;cm\) carries a charge \(25 \times {10^{ - 10}}C\). The electrostatic potential at the surface of the sphere will be

1 \(25\;V\)
2 \(15\;V\)
3 \(35\;V\)
4 \(45\;V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359399 \(N\) small drops of the same size are charged to \(V\) volt each. If they coalesce to form a single large drop, then its potential will be

1 \(V{N^{1/3}}\)
2 \(V/N\)
3 \(NV\)
4 \(V{N^{2/3}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359400 Two isolated metallic solid spheres of radii \(R\) and \(2\,R\) are charged such that both have same charge density \(\sigma \). The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is \({{\sigma ^\prime }}\). The ratio \(\frac{{{\sigma ^\prime }}}{\sigma }\) is

1 \(\frac{5}{3}\)
2 \(\frac{9}{4}\)
3 \(\frac{5}{6}\)
4 \(\frac{4}{3}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359396 If 1000 droplets each of potential \(1\;V\) and radius \(r\) are combined to form a big drop. Then, the potential of the drop as compared to small droplets will be

1 \(1000\;V\)
2 \(800\;V\)
3 \(100\;V\)
4 \(20\;V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359397 A spherical shell having radius \(R\) has a charge density \(\sigma \) on its surface. The electric pressure on the shell is directly proportional to

1 \({\sigma ^2}\)
2 \(\sigma \)
3 \({\sigma ^3}\)
4 \(\sqrt \sigma \)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359398 A solid metal sphere of radius \(50\;cm\) carries a charge \(25 \times {10^{ - 10}}C\). The electrostatic potential at the surface of the sphere will be

1 \(25\;V\)
2 \(15\;V\)
3 \(35\;V\)
4 \(45\;V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359399 \(N\) small drops of the same size are charged to \(V\) volt each. If they coalesce to form a single large drop, then its potential will be

1 \(V{N^{1/3}}\)
2 \(V/N\)
3 \(NV\)
4 \(V{N^{2/3}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359400 Two isolated metallic solid spheres of radii \(R\) and \(2\,R\) are charged such that both have same charge density \(\sigma \). The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is \({{\sigma ^\prime }}\). The ratio \(\frac{{{\sigma ^\prime }}}{\sigma }\) is

1 \(\frac{5}{3}\)
2 \(\frac{9}{4}\)
3 \(\frac{5}{6}\)
4 \(\frac{4}{3}\)