As shown in the figure, a point charge is placed at the centre of the conducting spherical shell of inner radius and outer radius . The electric field due to charge in three different regions I, II and III is given by: [2023]

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Q.
As shown in the figure, a point charge $Q$ is placed at the centre of the conducting spherical shell of inner radius $a$ and outer radius $b$ . The electric field due to charge $Q$ in three different regions I, II and III is given by:

$(I: r < a, II: a < r < b, III: r > b)$ [2023]

Solution

Q.
As shown in the figure, a point charge $Q$ is placed at the centre of the conducting spherical shell of inner radius $a$ and outer radius $b$ . The electric field due to charge $Q$ in three different regions I, II and III is given by:

$(I: r < a, II: a < r < b, III: r > b)$ [2023]

1 $E_{I} = 0, E_{I I} = 0, E_{I I I} \neq 0$

2 $E_{I} \neq 0, E_{I I} = 0, E_{I I I} \neq 0$

3 $E_{I} \neq 0, E_{I I} = 0, E_{I I I} = 0$

4 $E_{I} = 0, E_{I I} = 0, E_{I I I} = 0$

Ans.
(2)

$E_{I} \neq 0 (inside region)$

$E_{I I} = 0 (conducting region)$

$E_{I I I} \neq 0 = \frac{K Q}{r^{2}} (r > b)$

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Solution

Q. As shown in the figure, a point charge Q is placed at the centre of the conducting spherical shell of inner radius a and outer radius b. The electric field due to charge Q in three different regions I, II and III is given by: (I: r<a, II: a<r<b, III: r>b) [2023]

1 EI=0, EII=0, EIII≠0

2 EI≠0, EII=0, EIII≠0

3 EI≠0, EII=0, EIII=0

4 EI=0, EII=0, EIII=0

Ans. (2) EI≠0 (inside region) EII=0 (conducting region) EIII≠0=KQr2 (r>b)

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Q.
As shown in the figure, a point charge $Q$ is placed at the centre of the conducting spherical shell of inner radius $a$ and outer radius $b$ . The electric field due to charge $Q$ in three different regions I, II and III is given by:

$(I: r < a, II: a < r < b, III: r > b)$ [2023]

1 $E_{I} = 0, E_{I I} = 0, E_{I I I} \neq 0$

2 $E_{I} \neq 0, E_{I I} = 0, E_{I I I} \neq 0$

3 $E_{I} \neq 0, E_{I I} = 0, E_{I I I} = 0$

4 $E_{I} = 0, E_{I I} = 0, E_{I I I} = 0$

Ans.
(2)

$E_{I} \neq 0 (inside region)$

$E_{I I} = 0 (conducting region)$

$E_{I I I} \neq 0 = \frac{K Q}{r^{2}} (r > b)$