6
MCQ (Single Correct Answer)
A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness $d_1$ and dielectric constant $K_1$ and the other has thickness $d_2$ and dielectric constant $K_2$ as shown in figure. This arrangement can be thought as a dielectric slab of thickness $d\left(=d_1+d_2\right)$ and effective dielectric constant $K$. The $K$ is
A
$\frac{K_1 d_1+K_2 d_2}{d_1+d_2}$
B
$\frac{K_1 d_1+K_2 d_2}{K_1+K_2}$
C
$\frac{K_1 K_2\left(d_1+d_2\right)}{\left(K_1 d_1+K_2 d_2\right)}$
D
$\frac{2 K_1 K_2}{K_1+K_2}$
7
MCQ (Multiple Correct Answer)
Consider a uniform electric field in the $\hat{z}$-direction. The potential is a constant
A
in all space
B
for any $x$ for a given $z$
C
for any $y$ for a given $z$
D
on the $x$ - $y$ plane for a given $z$
8
MCQ (Multiple Correct Answer)
Equipotential surfaces
A
are closer in regions of large electric fields compared to regions of lower electric fields
B
will be more crowded near sharp edges of a conductor
C
will be more crowded near regions of large charge densities
D
will always be equally spaced
9
MCQ (Multiple Correct Answer)
The work done to move a charge along an equipotential from $A$ to $B$
A
cannot be defined as $-\int_A^B$ E.dl
B
must be defined as $-\int_A^B$ E.dl
C
is zero
D
can have a non-zero value
10
MCQ (Multiple Correct Answer)
In a region of constant potential
A
the electric field is uniform
B
the electric field is zero
C
there can be no charge inside the region
D
the electric field shall necessarily change if a charge is placed outside the region