Electric Charges and Fields NEET Questions Chapter-wise

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Topic Question Set

Q 1 :
A hollow metal sphere of radius $R$ is uniformly charged. The electric field due to the sphere at a distance $r$ from the centre [2019]

decreases as $r$ increases for $r < R$ and for $r > R$
increases as $r$ increases for $r < R$ and for $r > R$
zero as $r$ increases for $r < R$ , decreases as $r$ increases for $r > R$
zero as $r$ increases for $r < R$ , increases as $r$ increases for $r > R$

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(3)

In a uniformly charged hollow conducting sphere,

(i) For $r < R,$ $\vec{E} = 0$

(ii) For $r > R$ , $\vec{E} = \frac{1}{4 π ε_{0}} \frac{Q}{| {\vec{r}}^{2} |} \hat{r}; \vec{E} decreases$

Q 2 :
Two parallel infinite line charges with linear charge densities $+ λ$ C/m and $- λ$ C/m are placed at a distance of $2 R$ in free space. What is the electric field midway between the two line charges? [2019]

$\frac{λ}{2 π ε_{0} R}$ N/C
zero
$\frac{2 λ}{π ε_{0} R}$ N/C
$\frac{λ}{π ε_{0} R}$ N/C

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(4)

[IMAGE 137]---------------------

Electric field due to an infinite line charge, $E = \frac{λ}{2 π ε_{0} r}$

Net electric field at mid-point O,

${\vec{E}}_{0} = {\vec{E}}_{1} + {\vec{E}}_{2}$

As, $E_{1} = E_{2} = \frac{λ}{2 π ε_{0} R}$ $∴$ $E_{0} = 2 E_{1} = \frac{λ}{π ε_{0} R} {N C}^{- 1}$

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