A conducting shell of inner radius R1 and outer radius R2 is given a charge -Q- A point charge q1 is placed inside the shell and q2 is placed outside the shell-Then for various locations of q1 and q2- match the following entries of column-I with the entries of column-II- Column-IColumn-IIi- If q1 is at center and q2-0 - then E at center of shell due to charge on outer surface of shell isa- q14 -0 r2ii- If q1 is at center and q2 is at distance r from the center- then E at a point distant r2 -r from the center of the shell due to outer surface charge isb- Zeroiii- If q1 is not at center and q2-0 - then E at point P P is at distance r from q1 due to charge of the inner surface of shell isc- Cant be determined

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Electric Potential at a Point in Space Due to a Point Charge Q

A conducting ...

Question

A conducting shell of inner radius $R_{1}$ and outer radius $R_{2}$ is given a charge $+ Q$ . A point charge $q_{1}$ is placed inside the shell and $q_{2}$ is placed outside the shell.

Then for various locations of $q_{1}$ and $q_{2}$ , match the following entries of column $- I$ with the entries of column $- II$ .

Column- $I$ Column- $II$

$(i) .$ If $q_{1}$ is at center and $q_{2} = 0$ , then $\to E$ at center of shell due to charge on outer surface of shell is $(a) . \frac{q_{1}}{4 π ε_{0} r^{2}}$

$(ii) .$ If $q_{1}$ is at center and $q_{2}$ is at distance $r$ from the center, then $\to E$ at a point distant $r_{2}$ ( $> r$ ) from the center of the shell due to outer surface charge is $(b) .$ Zero

$(iii) .$ If $q_{1}$ is not at center and $q_{2} = 0$ , then $\to E$ at point $P$ ( $P$ is at distance $r$ from $q_{1}$ due to charge of the inner surface of shell) is $(c) .$ Cant be determined

i - b, ii - c, iii - a

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i - b, ii - b, iii - c

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i - b, ii - a, iii - c

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i - a, ii - b, iii - c

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Column- $I$	Column- $II$
$(i) .$ If $q_{1}$ is at center and $q_{2} = 0$ , then $\to E$ at center of shell due to charge on outer surface of shell is	$(a) . \frac{q_{1}}{4 π ε_{0} r^{2}}$
$(ii) .$ If $q_{1}$ is at center and $q_{2}$ is at distance $r$ from the center, then $\to E$ at a point distant $r_{2}$ ( $> r$ ) from the center of the shell due to outer surface charge is	$(b) .$ Zero
$(iii) .$ If $q_{1}$ is not at center and $q_{2} = 0$ , then $\to E$ at point $P$ ( $P$ is at distance $r$ from $q_{1}$ due to charge of the inner surface of shell) is	$(c) .$ Cant be determined