Three capacitors of capacitances 6 each are available. The minimu… - Vidyadip

MCQ

Three capacitors of capacitances $6\mu\text{F}$ each are available. The minimum and maximum capacitances, which may be obtained are:

A
$6\mu\text{F},\ 18\mu\text{F}$
B
$3\mu\text{F},\ 12\mu\text{F}$
C
$2\mu\text{F},\ 12\mu\text{F}$
✓
$2\mu\text{F},\ 18\mu\text{F}$

✓

Answer

Correct option: D.

$2\mu\text{F},\ 18\mu\text{F}$

The minimum capacitance can be obtained by connecting all capacitors in series. It can be calculated as follows:
$\frac{1}{\text{C}}=\frac{1}{6}+\frac{1}{6}+\frac{1}{6}=\frac{1}{2}$
$\Rightarrow\text{C}=2\mu\text{F}$
The maximum capacitance can be obtained by connecting all capacitors in parallel. It can be calculated as follows:
$\text{C}=6+6+6=18\mu\text{F}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Capacitors→Capacitors — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Two stones are projected with the same speed but making different angles with the horizontal. Their ranges are equal. If the angle of projection of one is $\pi /3$ and its maximum height is $h_1$ then the maximum height of the other will be

$Pascal-Second$ has dimension of

A couple produces

A thief stole a box full of valuable articles of weight $W$ and while carrying it on his back, he jumped down a wall of height $ ‘h’$ from the ground. Before he reached the ground he experienced a load of

A projectile is fired from the surface of the earth with a velocity of $5 \,m s^{-1}$ and angle $\theta$ with the horizontal. Another projectile fired from another planet with a velocity of $3 \,m s^{-1}$ at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in $\,m s^{-1}$) is
(Given $g = 9.8 \,m s^{-2}$)

As the temperature is increased, the period of a pendulum:

Let $\theta$ be the angle between vectors $\vec{A}$ and $\vec{B}$. Which of the following figures correctly represents the angle $\theta$ ?

Radius of a capillary is $2 \times {10^{ - 3}}\,m.$ A liquid of weight $6.28 \times {10^{ - 4}}\,N$ may remain in the capillary then the surface tension of liquid will be

Two waves of lengths $50 \;cm$ and $51\; cm$ produced $12$ beats per second. The velocity of sound is .... $m/s$

$Assertion :$ Air pressure in a car tyre increases during driving.
$Reason :$ Absolute zero temperature is not zero energy temperature.