1
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

4 point charges each +q is placed on the circumference of a circle of diameter 2d in such a way that they form a square. The potential at the centre is

A
0
B
$${{4q} \over d}$$
C
$${{4d} \over q}$$
D
$${q \over {4d}}$$
2
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

64 identical spheres of charge q and capacitance C each are combined to form a large sphere. The charge and capacitance of the large sphere is

A
64q, C
B
16q, 4C
C
64q, 4C
D
16q, 64C
3
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

A charge Q is placed at the centre of a cube of sides a. The total flux of electric field through the six surfaces of the cube is

A
$$ \frac{6 \mathrm{Qa}^2}{\epsilon_0} $$
B
$$ \frac{\mathrm{Q} \mathrm{a}^2}{6 \epsilon_0} $$
C
$$ \mathrm{Q} / \epsilon_0 $$
D
$$ \mathrm{Q} \mathrm{a}^2 / \epsilon_0 $$
4
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Three point charges $$\mathrm{q},-2 \mathrm{q}$$ and $$\mathrm{q}$$ are placed along $$x$$ axis at $$x=-{a}, 0$$ and $a$ respectively. As $$\mathrm{a} \rightarrow 0$$ and $$\mathrm{q} \rightarrow \infty$$ while $$\mathrm{q} \mathrm{a}^2=\mathrm{Q}$$ remains finite, the electric field at a point P, at a distance $$x(x \gg a)$$ from $$x=0$$ is $$\overrightarrow{\mathrm{E}}=\frac{\alpha \mathrm{Q}}{4 \pi \epsilon_0 x^\beta} \hat{i}$$. Then

A
$$\alpha=\beta$$
B
$$\alpha=2 \beta$$
C
$$\alpha=\frac{2}{3} \beta$$
D
$$2 \alpha=3 \beta$$
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