Electrostatics of Conductors
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359426 A solid spherical conductor of radius \(R\) has a spherical cavity of radius \(a(a < R)\) at its centre.
A charge \( + Q\) is kept at the centre. The charge at the inner surface, outer and at a position \(r(a < r < R)\) are respectively

1 \( + Q, - Q,0\)
2 \( - Q, + Q,0\)
3 \(0, - Q,0\)
4 \( + Q,0,0\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359427 Consider two concentric spherical shells of radii \(R\) and 2\(R\). The shell \(A\) is given charge \(q\) and shell \(B\) charge \(–q\). Then find the charge on the outer surface of \(B\).
supporting img

1 \(0\)
2 \(q\)
3 \( - q\)
4 \(2q\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359428 A metallic spherical shell has an inner radius \(R_{1}\) and outer radius \(R_{2}\). A charge is placed at the centre of the spherical cavity. The surface charge density on the inner surface is
supporting img

1 \(\dfrac{q}{4 \pi R_{1}^{2}}\)
2 \(\dfrac{-q}{4 \pi R_{1}^{2}}\)
3 \(\dfrac{q^{2}}{4 \pi R_{2}^{2}}\)
4 \(\dfrac{q}{4 \pi R_{2}^{2}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359429 A metal sphere \(A\) of radius \(a\) is charged to potential \(V\). What will be its potential if it is enclosed by a spherical conducting shell \(B\) of radius \(b\) and the two are connected by a wire?
supporting img

1 \(\frac{a}{b}V\)
2 \(V\)
3 \(\frac{b}{a}V\)
4 \(0\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359430 A spherical conducting shell with an inner radius 2\(R\) and outer radius 3\(R\) surrounds a spherical shell of radius \(R\). If \(q\) and 2\(q\) are the charges given to the two shells then find the charge present on the outer surface of the outer shell.
supporting img

1 \(3q\)
2 \(q\)
3 \(0\)
4 \(2q\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359426 A solid spherical conductor of radius \(R\) has a spherical cavity of radius \(a(a < R)\) at its centre.
A charge \( + Q\) is kept at the centre. The charge at the inner surface, outer and at a position \(r(a < r < R)\) are respectively

1 \( + Q, - Q,0\)
2 \( - Q, + Q,0\)
3 \(0, - Q,0\)
4 \( + Q,0,0\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359427 Consider two concentric spherical shells of radii \(R\) and 2\(R\). The shell \(A\) is given charge \(q\) and shell \(B\) charge \(–q\). Then find the charge on the outer surface of \(B\).
supporting img

1 \(0\)
2 \(q\)
3 \( - q\)
4 \(2q\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359428 A metallic spherical shell has an inner radius \(R_{1}\) and outer radius \(R_{2}\). A charge is placed at the centre of the spherical cavity. The surface charge density on the inner surface is
supporting img

1 \(\dfrac{q}{4 \pi R_{1}^{2}}\)
2 \(\dfrac{-q}{4 \pi R_{1}^{2}}\)
3 \(\dfrac{q^{2}}{4 \pi R_{2}^{2}}\)
4 \(\dfrac{q}{4 \pi R_{2}^{2}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359429 A metal sphere \(A\) of radius \(a\) is charged to potential \(V\). What will be its potential if it is enclosed by a spherical conducting shell \(B\) of radius \(b\) and the two are connected by a wire?
supporting img

1 \(\frac{a}{b}V\)
2 \(V\)
3 \(\frac{b}{a}V\)
4 \(0\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359430 A spherical conducting shell with an inner radius 2\(R\) and outer radius 3\(R\) surrounds a spherical shell of radius \(R\). If \(q\) and 2\(q\) are the charges given to the two shells then find the charge present on the outer surface of the outer shell.
supporting img

1 \(3q\)
2 \(q\)
3 \(0\)
4 \(2q\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359426 A solid spherical conductor of radius \(R\) has a spherical cavity of radius \(a(a < R)\) at its centre.
A charge \( + Q\) is kept at the centre. The charge at the inner surface, outer and at a position \(r(a < r < R)\) are respectively

1 \( + Q, - Q,0\)
2 \( - Q, + Q,0\)
3 \(0, - Q,0\)
4 \( + Q,0,0\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359427 Consider two concentric spherical shells of radii \(R\) and 2\(R\). The shell \(A\) is given charge \(q\) and shell \(B\) charge \(–q\). Then find the charge on the outer surface of \(B\).
supporting img

1 \(0\)
2 \(q\)
3 \( - q\)
4 \(2q\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359428 A metallic spherical shell has an inner radius \(R_{1}\) and outer radius \(R_{2}\). A charge is placed at the centre of the spherical cavity. The surface charge density on the inner surface is
supporting img

1 \(\dfrac{q}{4 \pi R_{1}^{2}}\)
2 \(\dfrac{-q}{4 \pi R_{1}^{2}}\)
3 \(\dfrac{q^{2}}{4 \pi R_{2}^{2}}\)
4 \(\dfrac{q}{4 \pi R_{2}^{2}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359429 A metal sphere \(A\) of radius \(a\) is charged to potential \(V\). What will be its potential if it is enclosed by a spherical conducting shell \(B\) of radius \(b\) and the two are connected by a wire?
supporting img

1 \(\frac{a}{b}V\)
2 \(V\)
3 \(\frac{b}{a}V\)
4 \(0\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359430 A spherical conducting shell with an inner radius 2\(R\) and outer radius 3\(R\) surrounds a spherical shell of radius \(R\). If \(q\) and 2\(q\) are the charges given to the two shells then find the charge present on the outer surface of the outer shell.
supporting img

1 \(3q\)
2 \(q\)
3 \(0\)
4 \(2q\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359426 A solid spherical conductor of radius \(R\) has a spherical cavity of radius \(a(a < R)\) at its centre.
A charge \( + Q\) is kept at the centre. The charge at the inner surface, outer and at a position \(r(a < r < R)\) are respectively

1 \( + Q, - Q,0\)
2 \( - Q, + Q,0\)
3 \(0, - Q,0\)
4 \( + Q,0,0\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359427 Consider two concentric spherical shells of radii \(R\) and 2\(R\). The shell \(A\) is given charge \(q\) and shell \(B\) charge \(–q\). Then find the charge on the outer surface of \(B\).
supporting img

1 \(0\)
2 \(q\)
3 \( - q\)
4 \(2q\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359428 A metallic spherical shell has an inner radius \(R_{1}\) and outer radius \(R_{2}\). A charge is placed at the centre of the spherical cavity. The surface charge density on the inner surface is
supporting img

1 \(\dfrac{q}{4 \pi R_{1}^{2}}\)
2 \(\dfrac{-q}{4 \pi R_{1}^{2}}\)
3 \(\dfrac{q^{2}}{4 \pi R_{2}^{2}}\)
4 \(\dfrac{q}{4 \pi R_{2}^{2}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359429 A metal sphere \(A\) of radius \(a\) is charged to potential \(V\). What will be its potential if it is enclosed by a spherical conducting shell \(B\) of radius \(b\) and the two are connected by a wire?
supporting img

1 \(\frac{a}{b}V\)
2 \(V\)
3 \(\frac{b}{a}V\)
4 \(0\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359430 A spherical conducting shell with an inner radius 2\(R\) and outer radius 3\(R\) surrounds a spherical shell of radius \(R\). If \(q\) and 2\(q\) are the charges given to the two shells then find the charge present on the outer surface of the outer shell.
supporting img

1 \(3q\)
2 \(q\)
3 \(0\)
4 \(2q\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359426 A solid spherical conductor of radius \(R\) has a spherical cavity of radius \(a(a < R)\) at its centre.
A charge \( + Q\) is kept at the centre. The charge at the inner surface, outer and at a position \(r(a < r < R)\) are respectively

1 \( + Q, - Q,0\)
2 \( - Q, + Q,0\)
3 \(0, - Q,0\)
4 \( + Q,0,0\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359427 Consider two concentric spherical shells of radii \(R\) and 2\(R\). The shell \(A\) is given charge \(q\) and shell \(B\) charge \(–q\). Then find the charge on the outer surface of \(B\).
supporting img

1 \(0\)
2 \(q\)
3 \( - q\)
4 \(2q\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359428 A metallic spherical shell has an inner radius \(R_{1}\) and outer radius \(R_{2}\). A charge is placed at the centre of the spherical cavity. The surface charge density on the inner surface is
supporting img

1 \(\dfrac{q}{4 \pi R_{1}^{2}}\)
2 \(\dfrac{-q}{4 \pi R_{1}^{2}}\)
3 \(\dfrac{q^{2}}{4 \pi R_{2}^{2}}\)
4 \(\dfrac{q}{4 \pi R_{2}^{2}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359429 A metal sphere \(A\) of radius \(a\) is charged to potential \(V\). What will be its potential if it is enclosed by a spherical conducting shell \(B\) of radius \(b\) and the two are connected by a wire?
supporting img

1 \(\frac{a}{b}V\)
2 \(V\)
3 \(\frac{b}{a}V\)
4 \(0\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359430 A spherical conducting shell with an inner radius 2\(R\) and outer radius 3\(R\) surrounds a spherical shell of radius \(R\). If \(q\) and 2\(q\) are the charges given to the two shells then find the charge present on the outer surface of the outer shell.
supporting img

1 \(3q\)
2 \(q\)
3 \(0\)
4 \(2q\)