1
WB JEE 2023
+1
-0.25

12 $$\mu$$C and 6 $$\mu$$C charges are given to the two conducting plates having same cross-sectional area and placed face to face close to each other as shown in the figure. The resulting charge distribution in $$\mu$$C on surfaces A, B, C and D are respectively,

A
9, 3, $$-$$3, 9
B
3, 9, $$-$$9, 3
C
6, 6, $$-$$6, 12
D
6, 6, 3, 3
2
WB JEE 2022
+2
-0.5

Find the equivalent capacitance between A and B of the following arrangement :

A
C
B
3C
C
$${{2C} \over 3}$$
D
$${{3C} \over 2}$$
3
WB JEE 2022
+2
-0.5

Three concentric metallic shells A, B and C of radii a, b and c (a < b < c) have surface charge densities +$$\sigma$$, $$-$$$$\sigma$$ and +$$\sigma$$ respectively. The potential of shell B is

A
$$(a + b + c){\sigma \over {{\varepsilon _0}}}$$
B
$${{\sigma c} \over {{\varepsilon _0}}}$$
C
$$\left( {{{{a^2}} \over c} - {{{b^2}} \over c} + c} \right){\sigma \over {{\varepsilon _0}}}$$
D
$$\left( {{{{a^2}} \over c} - b + c} \right){\sigma \over {{\varepsilon _0}}}$$
4
WB JEE 2018
+2
-0.5
The insulated plates of a charged parallel plate capacitor (with small separation between the plates) are approaching each other due to electrostatic attraction. Assuming no other force to be operative and no radiation taking place, which of the following graphs approximately shows the variation with time (t) of the potential difference (V) between the plates?
A
B
C
D
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