A circuit element is placed in a closed box. At time t=0, constan… - Vidyadip

MCQ

$A$ circuit element is placed in a closed box. At time $t=0$, constant current generator supplying a current of $1\, amp$, is connected across the box. Potential difference across the box varies according to graph shown in figure. The element in the box is :

A
resistance of $2\Omega$
B
battery of $emf\, 6V$
C
inductance of $2H$
✓
capacitance of $0.5F$

✓

Answer

Correct option: D.

capacitance of $0.5F$

d
$q=C V \Rightarrow V=\frac{1}{C} q$

$\frac{d V}{d t}=\frac{1}{C} \frac{d q}{d t}$

$\int d V=\frac{i}{C} \int d t \Rightarrow V=\frac{i}{C} t+K$

$8=\frac{1}{C} \times 3+2 \Rightarrow C=0.5 F$

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

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Some laws/processes are given in Column $I$. Match these with the physical phenomena given in Column $II$ and indicate your answer by darkening appropriate bubbles in the $4 \times 4$ matrix given in the $ORS$.

Column $I$	Column $II$
$(A)$ Transition between two atomic energy levels	$(p)$ Characteristic $X$-rays
$(B)$ Electron emission from a material	$(q)$ Photoelectric effect
$(C)$ Mosley's law	$(r)$ Hydrogen spectrum
$(D)$ Change of photon energy into kinetic energy of electrons	$(s)$ $\beta$-decay

The inward and outward electric flux for a closed surface in units of $N{\rm{ - }}{m^2}/C$ are respectively $8 \times {10^3}$ and $4 \times {10^3}.$ Then the total charge inside the surface is [where ${\varepsilon _0} = $ permittivity constant]

The output $Y$ for the inputs $A$ and $B$ of circuit is given by Truth table of the shown circuit is :

At constant volume the specific heat of a gas is $\frac{{3R}}{2}$, then the value of $'\gamma '$ will be ....

A cylinder made of perfectly non conducting material closed at both ends is divided into two equal parts by a heat proof piston. Both parts of the cylinder contain the same masses of a gas at a temperature $t_0 = 27^o$ and pressure $P_0 = 1$ atm. Now if the gas in one of the parts is slowly heated to $t = 57^oC$ while the temperature of first part is maintained at $t_0$ the distance moved by the piston from the middle of the cylinder will be.... $cm$ (length of the cylinder $= 84\,\, cm$)

The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is $0.5 \ mm$ and there are $50$ divisions on the circular scale. The reading on the main scale is $2.5 \ mm$ and that on the circular scale is $20$ divisions. If the measured mass of the ball has a relative error of $2 \%$, the relative percentage error in the density is

A student attempts to pull himself up by tugging on his hair. He will not succeed

In a practical unit if the unit of mass becomes double and that of unit of time becomes half, then $8$ joule will be equal to .............. unit of work.

A $20\, Henry$ inductor coil is connected to a $10\, ohm$ resistance in series as shown in figure. The time at which rate of dissipation of energy (Joule’s heat) across resistance is equal to the rate at which magnetic energy is stored in the inductor, is

When a capillary tube is dipped in water it rises upto $8$ $cm$ in the tube. What happens when the tube is pushed down such that its end is only $5$ $cm$ above the outside water level