03. ELECTRIC FIELD
Electric Charges and Fields

267873 Two electric charges of \(+10^{-9} \mathrm{C}\) and \(-10^{-9} \mathrm{C}\) are placed at the corners \(A\) and \(B\) of an equilateral triangle \(A B C\) side \(5 \mathrm{~cm}\). Theelectric intensity at \(C\) is

1 1800N/C
2 3600 N/C
3 900N/C
4 \(2700 \mathrm{~N} / \mathrm{C}\)
Electric Charges and Fields

267899 ' \(n\) ' charges \(Q, 4 Q, 9 Q, 16 Q \ldots\).... are placed at distances of \(1,2,3 \ldots\). . metre from a point ' 0 ' on the same straight line. The electric intensity at ' 0 ' is

1 \(\frac{Q}{4 \pi \epsilon_{0} n^{2}}\)
2 \(\frac{Q}{4 \pi \epsilon_{0} n}\)
3 Infinity
4 \(\frac{n Q}{4 \pi \epsilon_{0}}\)
Electric Charges and Fields

267896 In the figureshown, the electric field intensity at \(r=1 m, r=6 m, r=9 m\) in \(\mathrm{Vm}^{-1}\) is

1 \(-5,-1.67,+5\)
2 \(-5,0,+5\)
3 \(0,1.67,0\)
4 \(+5,1.67,-5\)
Electric Charges and Fields

267897 Point charges of \(3 \times 10^{-9} \mathrm{C}\) are situated at each of three corners of a square whose side is \(15 \mathrm{~cm}\). The magnitude and direction of electric field at the vacant corner of the square is

1 \(2296 \mathrm{~V} /\) malong thediagona
2 \(9622 \mathrm{~V} /\) malong the diagonal
3 \(22.0 \mathrm{~V} / \mathrm{malong}\) thediagonal
4 zero
Electric Charges and Fields

267898 A large flat metal surface has uniform charge density \(+\sigma\). An electron of mass m and charge e leaves the surface at an angle at point \(A\) with speed \(v\), and return to it at point \(B\). The maximum value of \(A B\) is \(\qquad\)

1 \(\frac{m m \epsilon_{0}}{\sigma e}\)
2 \(\frac{v^{2} m \epsilon_{0}}{\Theta \sigma}\)
3 \(\frac{v^{2} e}{\epsilon_{0} \sigma m}\)
4 \(\frac{v^{2} \sigma e}{\epsilon_{0} m}\)
Electric Charges and Fields

267873 Two electric charges of \(+10^{-9} \mathrm{C}\) and \(-10^{-9} \mathrm{C}\) are placed at the corners \(A\) and \(B\) of an equilateral triangle \(A B C\) side \(5 \mathrm{~cm}\). Theelectric intensity at \(C\) is

1 1800N/C
2 3600 N/C
3 900N/C
4 \(2700 \mathrm{~N} / \mathrm{C}\)
Electric Charges and Fields

267899 ' \(n\) ' charges \(Q, 4 Q, 9 Q, 16 Q \ldots\).... are placed at distances of \(1,2,3 \ldots\). . metre from a point ' 0 ' on the same straight line. The electric intensity at ' 0 ' is

1 \(\frac{Q}{4 \pi \epsilon_{0} n^{2}}\)
2 \(\frac{Q}{4 \pi \epsilon_{0} n}\)
3 Infinity
4 \(\frac{n Q}{4 \pi \epsilon_{0}}\)
Electric Charges and Fields

267896 In the figureshown, the electric field intensity at \(r=1 m, r=6 m, r=9 m\) in \(\mathrm{Vm}^{-1}\) is

1 \(-5,-1.67,+5\)
2 \(-5,0,+5\)
3 \(0,1.67,0\)
4 \(+5,1.67,-5\)
Electric Charges and Fields

267897 Point charges of \(3 \times 10^{-9} \mathrm{C}\) are situated at each of three corners of a square whose side is \(15 \mathrm{~cm}\). The magnitude and direction of electric field at the vacant corner of the square is

1 \(2296 \mathrm{~V} /\) malong thediagona
2 \(9622 \mathrm{~V} /\) malong the diagonal
3 \(22.0 \mathrm{~V} / \mathrm{malong}\) thediagonal
4 zero
Electric Charges and Fields

267898 A large flat metal surface has uniform charge density \(+\sigma\). An electron of mass m and charge e leaves the surface at an angle at point \(A\) with speed \(v\), and return to it at point \(B\). The maximum value of \(A B\) is \(\qquad\)

1 \(\frac{m m \epsilon_{0}}{\sigma e}\)
2 \(\frac{v^{2} m \epsilon_{0}}{\Theta \sigma}\)
3 \(\frac{v^{2} e}{\epsilon_{0} \sigma m}\)
4 \(\frac{v^{2} \sigma e}{\epsilon_{0} m}\)
Electric Charges and Fields

267873 Two electric charges of \(+10^{-9} \mathrm{C}\) and \(-10^{-9} \mathrm{C}\) are placed at the corners \(A\) and \(B\) of an equilateral triangle \(A B C\) side \(5 \mathrm{~cm}\). Theelectric intensity at \(C\) is

1 1800N/C
2 3600 N/C
3 900N/C
4 \(2700 \mathrm{~N} / \mathrm{C}\)
Electric Charges and Fields

267899 ' \(n\) ' charges \(Q, 4 Q, 9 Q, 16 Q \ldots\).... are placed at distances of \(1,2,3 \ldots\). . metre from a point ' 0 ' on the same straight line. The electric intensity at ' 0 ' is

1 \(\frac{Q}{4 \pi \epsilon_{0} n^{2}}\)
2 \(\frac{Q}{4 \pi \epsilon_{0} n}\)
3 Infinity
4 \(\frac{n Q}{4 \pi \epsilon_{0}}\)
Electric Charges and Fields

267896 In the figureshown, the electric field intensity at \(r=1 m, r=6 m, r=9 m\) in \(\mathrm{Vm}^{-1}\) is

1 \(-5,-1.67,+5\)
2 \(-5,0,+5\)
3 \(0,1.67,0\)
4 \(+5,1.67,-5\)
Electric Charges and Fields

267897 Point charges of \(3 \times 10^{-9} \mathrm{C}\) are situated at each of three corners of a square whose side is \(15 \mathrm{~cm}\). The magnitude and direction of electric field at the vacant corner of the square is

1 \(2296 \mathrm{~V} /\) malong thediagona
2 \(9622 \mathrm{~V} /\) malong the diagonal
3 \(22.0 \mathrm{~V} / \mathrm{malong}\) thediagonal
4 zero
Electric Charges and Fields

267898 A large flat metal surface has uniform charge density \(+\sigma\). An electron of mass m and charge e leaves the surface at an angle at point \(A\) with speed \(v\), and return to it at point \(B\). The maximum value of \(A B\) is \(\qquad\)

1 \(\frac{m m \epsilon_{0}}{\sigma e}\)
2 \(\frac{v^{2} m \epsilon_{0}}{\Theta \sigma}\)
3 \(\frac{v^{2} e}{\epsilon_{0} \sigma m}\)
4 \(\frac{v^{2} \sigma e}{\epsilon_{0} m}\)
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Electric Charges and Fields

267873 Two electric charges of \(+10^{-9} \mathrm{C}\) and \(-10^{-9} \mathrm{C}\) are placed at the corners \(A\) and \(B\) of an equilateral triangle \(A B C\) side \(5 \mathrm{~cm}\). Theelectric intensity at \(C\) is

1 1800N/C
2 3600 N/C
3 900N/C
4 \(2700 \mathrm{~N} / \mathrm{C}\)
Electric Charges and Fields

267899 ' \(n\) ' charges \(Q, 4 Q, 9 Q, 16 Q \ldots\).... are placed at distances of \(1,2,3 \ldots\). . metre from a point ' 0 ' on the same straight line. The electric intensity at ' 0 ' is

1 \(\frac{Q}{4 \pi \epsilon_{0} n^{2}}\)
2 \(\frac{Q}{4 \pi \epsilon_{0} n}\)
3 Infinity
4 \(\frac{n Q}{4 \pi \epsilon_{0}}\)
Electric Charges and Fields

267896 In the figureshown, the electric field intensity at \(r=1 m, r=6 m, r=9 m\) in \(\mathrm{Vm}^{-1}\) is

1 \(-5,-1.67,+5\)
2 \(-5,0,+5\)
3 \(0,1.67,0\)
4 \(+5,1.67,-5\)
Electric Charges and Fields

267897 Point charges of \(3 \times 10^{-9} \mathrm{C}\) are situated at each of three corners of a square whose side is \(15 \mathrm{~cm}\). The magnitude and direction of electric field at the vacant corner of the square is

1 \(2296 \mathrm{~V} /\) malong thediagona
2 \(9622 \mathrm{~V} /\) malong the diagonal
3 \(22.0 \mathrm{~V} / \mathrm{malong}\) thediagonal
4 zero
Electric Charges and Fields

267898 A large flat metal surface has uniform charge density \(+\sigma\). An electron of mass m and charge e leaves the surface at an angle at point \(A\) with speed \(v\), and return to it at point \(B\). The maximum value of \(A B\) is \(\qquad\)

1 \(\frac{m m \epsilon_{0}}{\sigma e}\)
2 \(\frac{v^{2} m \epsilon_{0}}{\Theta \sigma}\)
3 \(\frac{v^{2} e}{\epsilon_{0} \sigma m}\)
4 \(\frac{v^{2} \sigma e}{\epsilon_{0} m}\)
Electric Charges and Fields

267873 Two electric charges of \(+10^{-9} \mathrm{C}\) and \(-10^{-9} \mathrm{C}\) are placed at the corners \(A\) and \(B\) of an equilateral triangle \(A B C\) side \(5 \mathrm{~cm}\). Theelectric intensity at \(C\) is

1 1800N/C
2 3600 N/C
3 900N/C
4 \(2700 \mathrm{~N} / \mathrm{C}\)
Electric Charges and Fields

267899 ' \(n\) ' charges \(Q, 4 Q, 9 Q, 16 Q \ldots\).... are placed at distances of \(1,2,3 \ldots\). . metre from a point ' 0 ' on the same straight line. The electric intensity at ' 0 ' is

1 \(\frac{Q}{4 \pi \epsilon_{0} n^{2}}\)
2 \(\frac{Q}{4 \pi \epsilon_{0} n}\)
3 Infinity
4 \(\frac{n Q}{4 \pi \epsilon_{0}}\)
Electric Charges and Fields

267896 In the figureshown, the electric field intensity at \(r=1 m, r=6 m, r=9 m\) in \(\mathrm{Vm}^{-1}\) is

1 \(-5,-1.67,+5\)
2 \(-5,0,+5\)
3 \(0,1.67,0\)
4 \(+5,1.67,-5\)
Electric Charges and Fields

267897 Point charges of \(3 \times 10^{-9} \mathrm{C}\) are situated at each of three corners of a square whose side is \(15 \mathrm{~cm}\). The magnitude and direction of electric field at the vacant corner of the square is

1 \(2296 \mathrm{~V} /\) malong thediagona
2 \(9622 \mathrm{~V} /\) malong the diagonal
3 \(22.0 \mathrm{~V} / \mathrm{malong}\) thediagonal
4 zero
Electric Charges and Fields

267898 A large flat metal surface has uniform charge density \(+\sigma\). An electron of mass m and charge e leaves the surface at an angle at point \(A\) with speed \(v\), and return to it at point \(B\). The maximum value of \(A B\) is \(\qquad\)

1 \(\frac{m m \epsilon_{0}}{\sigma e}\)
2 \(\frac{v^{2} m \epsilon_{0}}{\Theta \sigma}\)
3 \(\frac{v^{2} e}{\epsilon_{0} \sigma m}\)
4 \(\frac{v^{2} \sigma e}{\epsilon_{0} m}\)