Continuous Charge Distribution
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PHXII01:ELECTRIC CHARGES AND FIELDS

358024 Three very large plates are given charges as shown in the figure. If the cross-sectional area of each plate is the same, the final charge distribution on plate \(C\) is
supporting img

1 \( + 8Q\) on the inner surface,\( + 2Q\) on the outer surface
2 \( + 5Q\) on the inner surface, \( + 5Q\) on the outer surface
3 \( + 7Q\) on the inner surface, \( + 3Q\) on the outer surface
4 \( + 6Q\) on the inner surface, \( + 4Q\) on the outer surface
PHXII01:ELECTRIC CHARGES AND FIELDS

358025 Two infinitely long parallel conducting plates having surface charge densities \(+\sigma\) and \(-\sigma\) respectively, are separated by a small distance. The medium between the plates is vacuum. If \(\varepsilon_{0}\) is the dielectric permittivity of vacuum, then the electric field in the region between the plates is

1 0
2 \(\dfrac{\sigma}{2 \varepsilon_{0}} V m^{-1}\)
3 \(\dfrac{\sigma}{\varepsilon_{0}} V m^{-1}\)
4 \(\dfrac{2 \sigma}{\varepsilon_{0}} \mathrm{Vm}^{-1}\)
AIIMS - 2005
PHXII01:ELECTRIC CHARGES AND FIELDS

358026 The parallel plane sheets 1 and 2 carry uniform charge densities \({\sigma _{1\,}}{\rm{and}}\,{\sigma _2}\) as shown in the figure. The magnitude of the resultant electric field in the region marked II is \(({\sigma _{1\,}} > \,{\sigma _2})\)
supporting img

1 \(\frac{{({\sigma _1}\, + {\sigma _2})\,}}{{2{\varepsilon _0}}}\)
2 \(\frac{{ - ({\sigma _1}\,{\sigma _2})\,}}{{2{\varepsilon _0}}}\)
3 \( - \frac{{({\sigma _1}\, + {\sigma _2})\,}}{{2{\varepsilon _0}}}\)
4 \(\frac{{({\sigma _1}\, - {\sigma _2})\,}}{{2{\varepsilon _0}}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358027 Three inifinitely long charged sheets are placed as shown in figure. The electric field at point \(P\) is (Take vertical direction as (+)\(ve\) \(z\)-axis)
supporting img

1 \(\frac{{2\sigma }}{{{\varepsilon _0}}}\hat k\)
2 \( - \frac{{2\sigma }}{{{\varepsilon _0}}}\hat k\)
3 \(\frac{{4\sigma }}{{{\varepsilon _0}}}\hat k\)
4 \( - \frac{{4\sigma }}{{{\varepsilon _0}}}\hat k\)
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PHXII01:ELECTRIC CHARGES AND FIELDS

358024 Three very large plates are given charges as shown in the figure. If the cross-sectional area of each plate is the same, the final charge distribution on plate \(C\) is
supporting img

1 \( + 8Q\) on the inner surface,\( + 2Q\) on the outer surface
2 \( + 5Q\) on the inner surface, \( + 5Q\) on the outer surface
3 \( + 7Q\) on the inner surface, \( + 3Q\) on the outer surface
4 \( + 6Q\) on the inner surface, \( + 4Q\) on the outer surface
PHXII01:ELECTRIC CHARGES AND FIELDS

358025 Two infinitely long parallel conducting plates having surface charge densities \(+\sigma\) and \(-\sigma\) respectively, are separated by a small distance. The medium between the plates is vacuum. If \(\varepsilon_{0}\) is the dielectric permittivity of vacuum, then the electric field in the region between the plates is

1 0
2 \(\dfrac{\sigma}{2 \varepsilon_{0}} V m^{-1}\)
3 \(\dfrac{\sigma}{\varepsilon_{0}} V m^{-1}\)
4 \(\dfrac{2 \sigma}{\varepsilon_{0}} \mathrm{Vm}^{-1}\)
AIIMS - 2005
PHXII01:ELECTRIC CHARGES AND FIELDS

358026 The parallel plane sheets 1 and 2 carry uniform charge densities \({\sigma _{1\,}}{\rm{and}}\,{\sigma _2}\) as shown in the figure. The magnitude of the resultant electric field in the region marked II is \(({\sigma _{1\,}} > \,{\sigma _2})\)
supporting img

1 \(\frac{{({\sigma _1}\, + {\sigma _2})\,}}{{2{\varepsilon _0}}}\)
2 \(\frac{{ - ({\sigma _1}\,{\sigma _2})\,}}{{2{\varepsilon _0}}}\)
3 \( - \frac{{({\sigma _1}\, + {\sigma _2})\,}}{{2{\varepsilon _0}}}\)
4 \(\frac{{({\sigma _1}\, - {\sigma _2})\,}}{{2{\varepsilon _0}}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358027 Three inifinitely long charged sheets are placed as shown in figure. The electric field at point \(P\) is (Take vertical direction as (+)\(ve\) \(z\)-axis)
supporting img

1 \(\frac{{2\sigma }}{{{\varepsilon _0}}}\hat k\)
2 \( - \frac{{2\sigma }}{{{\varepsilon _0}}}\hat k\)
3 \(\frac{{4\sigma }}{{{\varepsilon _0}}}\hat k\)
4 \( - \frac{{4\sigma }}{{{\varepsilon _0}}}\hat k\)
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PHXII01:ELECTRIC CHARGES AND FIELDS

358024 Three very large plates are given charges as shown in the figure. If the cross-sectional area of each plate is the same, the final charge distribution on plate \(C\) is
supporting img

1 \( + 8Q\) on the inner surface,\( + 2Q\) on the outer surface
2 \( + 5Q\) on the inner surface, \( + 5Q\) on the outer surface
3 \( + 7Q\) on the inner surface, \( + 3Q\) on the outer surface
4 \( + 6Q\) on the inner surface, \( + 4Q\) on the outer surface
PHXII01:ELECTRIC CHARGES AND FIELDS

358025 Two infinitely long parallel conducting plates having surface charge densities \(+\sigma\) and \(-\sigma\) respectively, are separated by a small distance. The medium between the plates is vacuum. If \(\varepsilon_{0}\) is the dielectric permittivity of vacuum, then the electric field in the region between the plates is

1 0
2 \(\dfrac{\sigma}{2 \varepsilon_{0}} V m^{-1}\)
3 \(\dfrac{\sigma}{\varepsilon_{0}} V m^{-1}\)
4 \(\dfrac{2 \sigma}{\varepsilon_{0}} \mathrm{Vm}^{-1}\)
AIIMS - 2005
PHXII01:ELECTRIC CHARGES AND FIELDS

358026 The parallel plane sheets 1 and 2 carry uniform charge densities \({\sigma _{1\,}}{\rm{and}}\,{\sigma _2}\) as shown in the figure. The magnitude of the resultant electric field in the region marked II is \(({\sigma _{1\,}} > \,{\sigma _2})\)
supporting img

1 \(\frac{{({\sigma _1}\, + {\sigma _2})\,}}{{2{\varepsilon _0}}}\)
2 \(\frac{{ - ({\sigma _1}\,{\sigma _2})\,}}{{2{\varepsilon _0}}}\)
3 \( - \frac{{({\sigma _1}\, + {\sigma _2})\,}}{{2{\varepsilon _0}}}\)
4 \(\frac{{({\sigma _1}\, - {\sigma _2})\,}}{{2{\varepsilon _0}}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358027 Three inifinitely long charged sheets are placed as shown in figure. The electric field at point \(P\) is (Take vertical direction as (+)\(ve\) \(z\)-axis)
supporting img

1 \(\frac{{2\sigma }}{{{\varepsilon _0}}}\hat k\)
2 \( - \frac{{2\sigma }}{{{\varepsilon _0}}}\hat k\)
3 \(\frac{{4\sigma }}{{{\varepsilon _0}}}\hat k\)
4 \( - \frac{{4\sigma }}{{{\varepsilon _0}}}\hat k\)
NEET DIGITAL LIBRARY
PHXII01:ELECTRIC CHARGES AND FIELDS

358024 Three very large plates are given charges as shown in the figure. If the cross-sectional area of each plate is the same, the final charge distribution on plate \(C\) is
supporting img

1 \( + 8Q\) on the inner surface,\( + 2Q\) on the outer surface
2 \( + 5Q\) on the inner surface, \( + 5Q\) on the outer surface
3 \( + 7Q\) on the inner surface, \( + 3Q\) on the outer surface
4 \( + 6Q\) on the inner surface, \( + 4Q\) on the outer surface
PHXII01:ELECTRIC CHARGES AND FIELDS

358025 Two infinitely long parallel conducting plates having surface charge densities \(+\sigma\) and \(-\sigma\) respectively, are separated by a small distance. The medium between the plates is vacuum. If \(\varepsilon_{0}\) is the dielectric permittivity of vacuum, then the electric field in the region between the plates is

1 0
2 \(\dfrac{\sigma}{2 \varepsilon_{0}} V m^{-1}\)
3 \(\dfrac{\sigma}{\varepsilon_{0}} V m^{-1}\)
4 \(\dfrac{2 \sigma}{\varepsilon_{0}} \mathrm{Vm}^{-1}\)
AIIMS - 2005
PHXII01:ELECTRIC CHARGES AND FIELDS

358026 The parallel plane sheets 1 and 2 carry uniform charge densities \({\sigma _{1\,}}{\rm{and}}\,{\sigma _2}\) as shown in the figure. The magnitude of the resultant electric field in the region marked II is \(({\sigma _{1\,}} > \,{\sigma _2})\)
supporting img

1 \(\frac{{({\sigma _1}\, + {\sigma _2})\,}}{{2{\varepsilon _0}}}\)
2 \(\frac{{ - ({\sigma _1}\,{\sigma _2})\,}}{{2{\varepsilon _0}}}\)
3 \( - \frac{{({\sigma _1}\, + {\sigma _2})\,}}{{2{\varepsilon _0}}}\)
4 \(\frac{{({\sigma _1}\, - {\sigma _2})\,}}{{2{\varepsilon _0}}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358027 Three inifinitely long charged sheets are placed as shown in figure. The electric field at point \(P\) is (Take vertical direction as (+)\(ve\) \(z\)-axis)
supporting img

1 \(\frac{{2\sigma }}{{{\varepsilon _0}}}\hat k\)
2 \( - \frac{{2\sigma }}{{{\varepsilon _0}}}\hat k\)
3 \(\frac{{4\sigma }}{{{\varepsilon _0}}}\hat k\)
4 \( - \frac{{4\sigma }}{{{\varepsilon _0}}}\hat k\)
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