Applications of Gauss's Law
PHXII01:ELECTRIC CHARGES AND FIELDS

357958 A hollow cylinder has a charge \(q C\) within it. If \(\phi\) is the electric flux in unit of voltmeter associated with the curved surface \(B\), the flux linked with the plane surface \(A\) in unit of voltmeter will be
supporting img

1 \(\dfrac{1}{2}\left(\dfrac{q}{\varepsilon_{0}}-\phi\right)\)
2 \(\dfrac{q}{2 \varepsilon_{0}}\)
3 \(\dfrac{\phi}{3}\)
4 \(\dfrac{q}{\varepsilon_{0}}-\phi\)
PHXII01:ELECTRIC CHARGES AND FIELDS

357959 An unchanged conducting large plate is placed as shown. Now an electric field \(E\) toward right is applied. Find the induced charge density on the right surface of the plate.
supporting img

1 \( - {\varepsilon _0}E\)
2 \({\varepsilon _0}E\)
3 \( - 2{\varepsilon _0}E\)
4 \(2{\varepsilon _0}E\)
PHXII01:ELECTRIC CHARGES AND FIELDS

357960 Three charges \(q_{1},-q_{1}\) and \(q_{2}\) are placed as shown in figure, \(S\) is a Gaussian surface. Electric field at any point on \(S\) is
supporting img

1 Due to \(q_{2}\) only
2 Uniform at all points
3 Zero at all the points
4 Due to all the charges
PHXII01:ELECTRIC CHARGES AND FIELDS

357961 Point charge \({q=5 {C}}\) is placed at a point on the axis of a square non-conducting surface. The axis is perpendicular to the square surface and is passing through its centre. Flux of electric field through the square caused due to charge \({q}\) is \({\phi=75 {~N}-{m}^{2} / {C}}\). If the square is given a surface charge of uniform density \({\sigma=20\,\, {C} / {m}^{2}}\), find the force on the square surface due to point charge \({q}\).
supporting img

1 \(1250\,N\)
2 \(1850\,N\)
3 \(2000\,N\)
4 \(1500\,N\)
PHXII01:ELECTRIC CHARGES AND FIELDS

357958 A hollow cylinder has a charge \(q C\) within it. If \(\phi\) is the electric flux in unit of voltmeter associated with the curved surface \(B\), the flux linked with the plane surface \(A\) in unit of voltmeter will be
supporting img

1 \(\dfrac{1}{2}\left(\dfrac{q}{\varepsilon_{0}}-\phi\right)\)
2 \(\dfrac{q}{2 \varepsilon_{0}}\)
3 \(\dfrac{\phi}{3}\)
4 \(\dfrac{q}{\varepsilon_{0}}-\phi\)
PHXII01:ELECTRIC CHARGES AND FIELDS

357959 An unchanged conducting large plate is placed as shown. Now an electric field \(E\) toward right is applied. Find the induced charge density on the right surface of the plate.
supporting img

1 \( - {\varepsilon _0}E\)
2 \({\varepsilon _0}E\)
3 \( - 2{\varepsilon _0}E\)
4 \(2{\varepsilon _0}E\)
PHXII01:ELECTRIC CHARGES AND FIELDS

357960 Three charges \(q_{1},-q_{1}\) and \(q_{2}\) are placed as shown in figure, \(S\) is a Gaussian surface. Electric field at any point on \(S\) is
supporting img

1 Due to \(q_{2}\) only
2 Uniform at all points
3 Zero at all the points
4 Due to all the charges
PHXII01:ELECTRIC CHARGES AND FIELDS

357961 Point charge \({q=5 {C}}\) is placed at a point on the axis of a square non-conducting surface. The axis is perpendicular to the square surface and is passing through its centre. Flux of electric field through the square caused due to charge \({q}\) is \({\phi=75 {~N}-{m}^{2} / {C}}\). If the square is given a surface charge of uniform density \({\sigma=20\,\, {C} / {m}^{2}}\), find the force on the square surface due to point charge \({q}\).
supporting img

1 \(1250\,N\)
2 \(1850\,N\)
3 \(2000\,N\)
4 \(1500\,N\)
PHXII01:ELECTRIC CHARGES AND FIELDS

357958 A hollow cylinder has a charge \(q C\) within it. If \(\phi\) is the electric flux in unit of voltmeter associated with the curved surface \(B\), the flux linked with the plane surface \(A\) in unit of voltmeter will be
supporting img

1 \(\dfrac{1}{2}\left(\dfrac{q}{\varepsilon_{0}}-\phi\right)\)
2 \(\dfrac{q}{2 \varepsilon_{0}}\)
3 \(\dfrac{\phi}{3}\)
4 \(\dfrac{q}{\varepsilon_{0}}-\phi\)
PHXII01:ELECTRIC CHARGES AND FIELDS

357959 An unchanged conducting large plate is placed as shown. Now an electric field \(E\) toward right is applied. Find the induced charge density on the right surface of the plate.
supporting img

1 \( - {\varepsilon _0}E\)
2 \({\varepsilon _0}E\)
3 \( - 2{\varepsilon _0}E\)
4 \(2{\varepsilon _0}E\)
PHXII01:ELECTRIC CHARGES AND FIELDS

357960 Three charges \(q_{1},-q_{1}\) and \(q_{2}\) are placed as shown in figure, \(S\) is a Gaussian surface. Electric field at any point on \(S\) is
supporting img

1 Due to \(q_{2}\) only
2 Uniform at all points
3 Zero at all the points
4 Due to all the charges
PHXII01:ELECTRIC CHARGES AND FIELDS

357961 Point charge \({q=5 {C}}\) is placed at a point on the axis of a square non-conducting surface. The axis is perpendicular to the square surface and is passing through its centre. Flux of electric field through the square caused due to charge \({q}\) is \({\phi=75 {~N}-{m}^{2} / {C}}\). If the square is given a surface charge of uniform density \({\sigma=20\,\, {C} / {m}^{2}}\), find the force on the square surface due to point charge \({q}\).
supporting img

1 \(1250\,N\)
2 \(1850\,N\)
3 \(2000\,N\)
4 \(1500\,N\)
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PHXII01:ELECTRIC CHARGES AND FIELDS

357958 A hollow cylinder has a charge \(q C\) within it. If \(\phi\) is the electric flux in unit of voltmeter associated with the curved surface \(B\), the flux linked with the plane surface \(A\) in unit of voltmeter will be
supporting img

1 \(\dfrac{1}{2}\left(\dfrac{q}{\varepsilon_{0}}-\phi\right)\)
2 \(\dfrac{q}{2 \varepsilon_{0}}\)
3 \(\dfrac{\phi}{3}\)
4 \(\dfrac{q}{\varepsilon_{0}}-\phi\)
PHXII01:ELECTRIC CHARGES AND FIELDS

357959 An unchanged conducting large plate is placed as shown. Now an electric field \(E\) toward right is applied. Find the induced charge density on the right surface of the plate.
supporting img

1 \( - {\varepsilon _0}E\)
2 \({\varepsilon _0}E\)
3 \( - 2{\varepsilon _0}E\)
4 \(2{\varepsilon _0}E\)
PHXII01:ELECTRIC CHARGES AND FIELDS

357960 Three charges \(q_{1},-q_{1}\) and \(q_{2}\) are placed as shown in figure, \(S\) is a Gaussian surface. Electric field at any point on \(S\) is
supporting img

1 Due to \(q_{2}\) only
2 Uniform at all points
3 Zero at all the points
4 Due to all the charges
PHXII01:ELECTRIC CHARGES AND FIELDS

357961 Point charge \({q=5 {C}}\) is placed at a point on the axis of a square non-conducting surface. The axis is perpendicular to the square surface and is passing through its centre. Flux of electric field through the square caused due to charge \({q}\) is \({\phi=75 {~N}-{m}^{2} / {C}}\). If the square is given a surface charge of uniform density \({\sigma=20\,\, {C} / {m}^{2}}\), find the force on the square surface due to point charge \({q}\).
supporting img

1 \(1250\,N\)
2 \(1850\,N\)
3 \(2000\,N\)
4 \(1500\,N\)