03. ELECTRIC FIELD
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Electric Charges and Fields

267956 A thin semicircular ring of radius '\(r\) ' has a positive chargedistributed uniformly over it. The net field \(\mathrm{E}\) at the centre ' 0 ' is (AIEEE 2010)

1 \(\frac{q}{2 \pi^{2} \epsilon_{0} r^{2}} \bar{j}\)
2 \(\frac{q}{4 \pi^{2} \epsilon_{0} r^{2}} \bar{j}\)
3 \(-\frac{q}{4 \pi^{2} \epsilon_{0} r^{2}}\) \(\bar{j}\)
4 -\(\frac{q}{2 \pi^{2} \epsilon_{0} r^{2}} \bar{j}\)
Electric Charges and Fields

272152 A vertical electric field of magnitude $4.9\times {{10}^{5}}~N/C$ just prevents a water droplet of a mass $0.1~g$ from falling. The value of charge on the droplet will be :
(Given $g=9.8~m/{{s}^{2}}$ )

1 $1.6\times {{10}^{-9}}C$
2 $2.0\times {{10}^{-9}}C$
3 $3.2\times {{10}^{-9}}C$
4 $0.5\times {{10}^{-9}}C$
NCERT Page-32 / N-14
Electric Charges and Fields

272153 A large nonconducting sheet $M$ is given a uniform charge density. Two uncharged small metal rods A and B are placed near the sheet as shown in figure. Then

1 $M$ attracts $A$
2 $M$ attracts $B$
3 A attracts B
4 All of these
NCERT PAGE 32/N-14
Electric Charges and Fields

272154 A charged ball $B$ hangs from a silk thread $S$, which makes an angle $\theta $ with a large charged conducting sheet $P$, as shown in the figure. The surface charge density $\sigma $ of the sheet is proportional to

1 $cot\theta $
2 $cos\theta $
3 $tan\theta $
4 $sin\theta $
NCERT Page-32 / N-28
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Electric Charges and Fields

267956 A thin semicircular ring of radius '\(r\) ' has a positive chargedistributed uniformly over it. The net field \(\mathrm{E}\) at the centre ' 0 ' is (AIEEE 2010)

1 \(\frac{q}{2 \pi^{2} \epsilon_{0} r^{2}} \bar{j}\)
2 \(\frac{q}{4 \pi^{2} \epsilon_{0} r^{2}} \bar{j}\)
3 \(-\frac{q}{4 \pi^{2} \epsilon_{0} r^{2}}\) \(\bar{j}\)
4 -\(\frac{q}{2 \pi^{2} \epsilon_{0} r^{2}} \bar{j}\)
Electric Charges and Fields

272152 A vertical electric field of magnitude $4.9\times {{10}^{5}}~N/C$ just prevents a water droplet of a mass $0.1~g$ from falling. The value of charge on the droplet will be :
(Given $g=9.8~m/{{s}^{2}}$ )

1 $1.6\times {{10}^{-9}}C$
2 $2.0\times {{10}^{-9}}C$
3 $3.2\times {{10}^{-9}}C$
4 $0.5\times {{10}^{-9}}C$
NCERT Page-32 / N-14
Electric Charges and Fields

272153 A large nonconducting sheet $M$ is given a uniform charge density. Two uncharged small metal rods A and B are placed near the sheet as shown in figure. Then

1 $M$ attracts $A$
2 $M$ attracts $B$
3 A attracts B
4 All of these
NCERT PAGE 32/N-14
Electric Charges and Fields

272154 A charged ball $B$ hangs from a silk thread $S$, which makes an angle $\theta $ with a large charged conducting sheet $P$, as shown in the figure. The surface charge density $\sigma $ of the sheet is proportional to

1 $cot\theta $
2 $cos\theta $
3 $tan\theta $
4 $sin\theta $
NCERT Page-32 / N-28
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Electric Charges and Fields

267956 A thin semicircular ring of radius '\(r\) ' has a positive chargedistributed uniformly over it. The net field \(\mathrm{E}\) at the centre ' 0 ' is (AIEEE 2010)

1 \(\frac{q}{2 \pi^{2} \epsilon_{0} r^{2}} \bar{j}\)
2 \(\frac{q}{4 \pi^{2} \epsilon_{0} r^{2}} \bar{j}\)
3 \(-\frac{q}{4 \pi^{2} \epsilon_{0} r^{2}}\) \(\bar{j}\)
4 -\(\frac{q}{2 \pi^{2} \epsilon_{0} r^{2}} \bar{j}\)
Electric Charges and Fields

272152 A vertical electric field of magnitude $4.9\times {{10}^{5}}~N/C$ just prevents a water droplet of a mass $0.1~g$ from falling. The value of charge on the droplet will be :
(Given $g=9.8~m/{{s}^{2}}$ )

1 $1.6\times {{10}^{-9}}C$
2 $2.0\times {{10}^{-9}}C$
3 $3.2\times {{10}^{-9}}C$
4 $0.5\times {{10}^{-9}}C$
NCERT Page-32 / N-14
Electric Charges and Fields

272153 A large nonconducting sheet $M$ is given a uniform charge density. Two uncharged small metal rods A and B are placed near the sheet as shown in figure. Then

1 $M$ attracts $A$
2 $M$ attracts $B$
3 A attracts B
4 All of these
NCERT PAGE 32/N-14
Electric Charges and Fields

272154 A charged ball $B$ hangs from a silk thread $S$, which makes an angle $\theta $ with a large charged conducting sheet $P$, as shown in the figure. The surface charge density $\sigma $ of the sheet is proportional to

1 $cot\theta $
2 $cos\theta $
3 $tan\theta $
4 $sin\theta $
NCERT Page-32 / N-28
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Electric Charges and Fields

267956 A thin semicircular ring of radius '\(r\) ' has a positive chargedistributed uniformly over it. The net field \(\mathrm{E}\) at the centre ' 0 ' is (AIEEE 2010)

1 \(\frac{q}{2 \pi^{2} \epsilon_{0} r^{2}} \bar{j}\)
2 \(\frac{q}{4 \pi^{2} \epsilon_{0} r^{2}} \bar{j}\)
3 \(-\frac{q}{4 \pi^{2} \epsilon_{0} r^{2}}\) \(\bar{j}\)
4 -\(\frac{q}{2 \pi^{2} \epsilon_{0} r^{2}} \bar{j}\)
Electric Charges and Fields

272152 A vertical electric field of magnitude $4.9\times {{10}^{5}}~N/C$ just prevents a water droplet of a mass $0.1~g$ from falling. The value of charge on the droplet will be :
(Given $g=9.8~m/{{s}^{2}}$ )

1 $1.6\times {{10}^{-9}}C$
2 $2.0\times {{10}^{-9}}C$
3 $3.2\times {{10}^{-9}}C$
4 $0.5\times {{10}^{-9}}C$
NCERT Page-32 / N-14
Electric Charges and Fields

272153 A large nonconducting sheet $M$ is given a uniform charge density. Two uncharged small metal rods A and B are placed near the sheet as shown in figure. Then

1 $M$ attracts $A$
2 $M$ attracts $B$
3 A attracts B
4 All of these
NCERT PAGE 32/N-14
Electric Charges and Fields

272154 A charged ball $B$ hangs from a silk thread $S$, which makes an angle $\theta $ with a large charged conducting sheet $P$, as shown in the figure. The surface charge density $\sigma $ of the sheet is proportional to

1 $cot\theta $
2 $cos\theta $
3 $tan\theta $
4 $sin\theta $
NCERT Page-32 / N-28
For More Updates join with Us
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