Electric Flux through a plane surface
PHXII01:ELECTRIC CHARGES AND FIELDS

358278 The electric field in a region is given by \(\overrightarrow E = \frac{3}{5}{E_0}\hat i + \frac{3}{2}{E_0}\hat j + {E_0}\hat k\) with \({E_0} = 2 \times {10^3}N{C^{ - 1}}.\) Find the flux of this field through a rectangular surface of area \(0.2{m^2}\) parallel to the \(Y\)-\(Z\) plane.

1 \(320N{m^2}{C^{ - 1}}\)
2 \(240N{m^2}{C^{ - 1}}\)
3 \(400N{m^2}{C^{ - 1}}\)
4 None of these
PHXII01:ELECTRIC CHARGES AND FIELDS

358279 A surface has the area vector \(\vec A = \left( {2\hat i + 3\hat j} \right){m^2}\) . The flux of an electric field through it if the field is \(\vec E = 4\hat i\frac{V}{m}:\)

1 \(8\,V - m\)
2 \(12\,V - m\)
3 \(20\,V - m\)
4 \({\text{Zero}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358280 The electric field in a region of space is given by, \(\vec{E}=E_{0} \hat{i}+2 E_{0} \hat{j}\) where \(E_{0}=100 N / C\). The flux of the field through a circular surface of radius \(0.02\;m\) parallel to the \(Y-Z\) plane is nearly:

1 \(0.125\,N{m^2}{\rm{/}}C\)
2 \(0.02\,N{m^2}{\rm{/}}C\)
3 \(0.005\,N{m^2}{\rm{/}}C\)
4 \(3.14\,N{m^2}{\rm{/}}C\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358281 The number of electric field lines crossing an area \(\Delta S\) is \({n_1}\) when \(\Delta \overrightarrow S \parallel \overrightarrow E \), while number of field lines crossing same area is \({n_2}\) when \(\Delta S\) makes an angle of \(30^\circ \) with \({\vec E}\) , then:

1 \({n_1} < {n_2}\)
2 \({n_1} > {n_2}\)
3 \({n_1} = {n_2}\)
4 Cannot say anything
PHXII01:ELECTRIC CHARGES AND FIELDS

358278 The electric field in a region is given by \(\overrightarrow E = \frac{3}{5}{E_0}\hat i + \frac{3}{2}{E_0}\hat j + {E_0}\hat k\) with \({E_0} = 2 \times {10^3}N{C^{ - 1}}.\) Find the flux of this field through a rectangular surface of area \(0.2{m^2}\) parallel to the \(Y\)-\(Z\) plane.

1 \(320N{m^2}{C^{ - 1}}\)
2 \(240N{m^2}{C^{ - 1}}\)
3 \(400N{m^2}{C^{ - 1}}\)
4 None of these
PHXII01:ELECTRIC CHARGES AND FIELDS

358279 A surface has the area vector \(\vec A = \left( {2\hat i + 3\hat j} \right){m^2}\) . The flux of an electric field through it if the field is \(\vec E = 4\hat i\frac{V}{m}:\)

1 \(8\,V - m\)
2 \(12\,V - m\)
3 \(20\,V - m\)
4 \({\text{Zero}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358280 The electric field in a region of space is given by, \(\vec{E}=E_{0} \hat{i}+2 E_{0} \hat{j}\) where \(E_{0}=100 N / C\). The flux of the field through a circular surface of radius \(0.02\;m\) parallel to the \(Y-Z\) plane is nearly:

1 \(0.125\,N{m^2}{\rm{/}}C\)
2 \(0.02\,N{m^2}{\rm{/}}C\)
3 \(0.005\,N{m^2}{\rm{/}}C\)
4 \(3.14\,N{m^2}{\rm{/}}C\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358281 The number of electric field lines crossing an area \(\Delta S\) is \({n_1}\) when \(\Delta \overrightarrow S \parallel \overrightarrow E \), while number of field lines crossing same area is \({n_2}\) when \(\Delta S\) makes an angle of \(30^\circ \) with \({\vec E}\) , then:

1 \({n_1} < {n_2}\)
2 \({n_1} > {n_2}\)
3 \({n_1} = {n_2}\)
4 Cannot say anything
PHXII01:ELECTRIC CHARGES AND FIELDS

358278 The electric field in a region is given by \(\overrightarrow E = \frac{3}{5}{E_0}\hat i + \frac{3}{2}{E_0}\hat j + {E_0}\hat k\) with \({E_0} = 2 \times {10^3}N{C^{ - 1}}.\) Find the flux of this field through a rectangular surface of area \(0.2{m^2}\) parallel to the \(Y\)-\(Z\) plane.

1 \(320N{m^2}{C^{ - 1}}\)
2 \(240N{m^2}{C^{ - 1}}\)
3 \(400N{m^2}{C^{ - 1}}\)
4 None of these
PHXII01:ELECTRIC CHARGES AND FIELDS

358279 A surface has the area vector \(\vec A = \left( {2\hat i + 3\hat j} \right){m^2}\) . The flux of an electric field through it if the field is \(\vec E = 4\hat i\frac{V}{m}:\)

1 \(8\,V - m\)
2 \(12\,V - m\)
3 \(20\,V - m\)
4 \({\text{Zero}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358280 The electric field in a region of space is given by, \(\vec{E}=E_{0} \hat{i}+2 E_{0} \hat{j}\) where \(E_{0}=100 N / C\). The flux of the field through a circular surface of radius \(0.02\;m\) parallel to the \(Y-Z\) plane is nearly:

1 \(0.125\,N{m^2}{\rm{/}}C\)
2 \(0.02\,N{m^2}{\rm{/}}C\)
3 \(0.005\,N{m^2}{\rm{/}}C\)
4 \(3.14\,N{m^2}{\rm{/}}C\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358281 The number of electric field lines crossing an area \(\Delta S\) is \({n_1}\) when \(\Delta \overrightarrow S \parallel \overrightarrow E \), while number of field lines crossing same area is \({n_2}\) when \(\Delta S\) makes an angle of \(30^\circ \) with \({\vec E}\) , then:

1 \({n_1} < {n_2}\)
2 \({n_1} > {n_2}\)
3 \({n_1} = {n_2}\)
4 Cannot say anything
PHXII01:ELECTRIC CHARGES AND FIELDS

358278 The electric field in a region is given by \(\overrightarrow E = \frac{3}{5}{E_0}\hat i + \frac{3}{2}{E_0}\hat j + {E_0}\hat k\) with \({E_0} = 2 \times {10^3}N{C^{ - 1}}.\) Find the flux of this field through a rectangular surface of area \(0.2{m^2}\) parallel to the \(Y\)-\(Z\) plane.

1 \(320N{m^2}{C^{ - 1}}\)
2 \(240N{m^2}{C^{ - 1}}\)
3 \(400N{m^2}{C^{ - 1}}\)
4 None of these
PHXII01:ELECTRIC CHARGES AND FIELDS

358279 A surface has the area vector \(\vec A = \left( {2\hat i + 3\hat j} \right){m^2}\) . The flux of an electric field through it if the field is \(\vec E = 4\hat i\frac{V}{m}:\)

1 \(8\,V - m\)
2 \(12\,V - m\)
3 \(20\,V - m\)
4 \({\text{Zero}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358280 The electric field in a region of space is given by, \(\vec{E}=E_{0} \hat{i}+2 E_{0} \hat{j}\) where \(E_{0}=100 N / C\). The flux of the field through a circular surface of radius \(0.02\;m\) parallel to the \(Y-Z\) plane is nearly:

1 \(0.125\,N{m^2}{\rm{/}}C\)
2 \(0.02\,N{m^2}{\rm{/}}C\)
3 \(0.005\,N{m^2}{\rm{/}}C\)
4 \(3.14\,N{m^2}{\rm{/}}C\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358281 The number of electric field lines crossing an area \(\Delta S\) is \({n_1}\) when \(\Delta \overrightarrow S \parallel \overrightarrow E \), while number of field lines crossing same area is \({n_2}\) when \(\Delta S\) makes an angle of \(30^\circ \) with \({\vec E}\) , then:

1 \({n_1} < {n_2}\)
2 \({n_1} > {n_2}\)
3 \({n_1} = {n_2}\)
4 Cannot say anything