A 16 wire is bend to form a square loop. A 9 ~V battery with inte… - Vidyadip

Question

A $16\ \Omega$ wire is bend to form a square loop. A $9 \mathrm{~V}$ battery with internal resistance $1\ \Omega$ is connected across one of its sides. If a $4\ \mu \mathrm{F}$ capacitor is connected across one of its diagonals, the energy stored by the capacitor will be $\frac{x}{2} \ \mu \mathrm{J}$. where $x=$________.

✓

Answer

$ I=\frac{V}{R_{e q}} I=\frac{V}{R_{e q}}=\frac{9}{1+\frac{12 \times 4}{12+4}}=\frac{9}{4} $

$ I_1=\frac{9}{4} \times \frac{4}{16}=\frac{9}{16} $

$ V_A-V_B=I_1 \times 8=\frac{9}{16} \times 8=\frac{9}{2} V $

$ \therefore U=\frac{1}{2} \times 4 \times \frac{81}{4} \mu \mathrm{J} $

$ \therefore U=\frac{81}{2} \mu \mathrm{J} $

$ \therefore \mathrm{X}=81$

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

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

Similar questions

Which of the following conclusion can be drawn from the result

$\oint {\vec B} .d\vec A\, = \,0$

The radii of the inner and outer spheres of a condenser are $9\,cm$ and $10\,cm$ respectively. If the dielectric constant of the medium between the two spheres is $6$ and charge on the inner sphere is $18 \times {10^{ - 9}}\;coulomb$, then the potential of inner sphere will be, if the outer sphere is earthed........$volts$

Two particles $x$ and $y$ have equal charges and possessing equal kinetic energy enter in a uniform magnetic field and describe circular path of radius of curvature $r_1$ and $r_2$ respectively. The ratio of their masses is

Two equal and opposite forces are applied tangentially to a uniform disc of mass $M$ and radius $R$ as shown in the figure. If the disc is pivoted at its centre and free to rotate in its plane, the angular acceleration of the disc is ............

Which of the following is the unit of specific heat

The electric field at point $p$ due to an electric dipole is $E$. The electric field at point $R$ on equitorial line will be $\frac{E}{x}$. The value of $x$ :

The resolving power of an astronomical telescope is $0.2$ seconds. If the central half portion of the objective lens is covered, the resolving power will be......$sec$

Match List$-I$ with List$-II.$

List$-I$	List$-II$
$(a)$ Capacitance, $C$	$(i)$ ${M}^{1} {L}^{1} {T}^{-3} {A}^{-1}$
$(b)$ Permittivity of free space, $\varepsilon_{0}$	$(ii)$ ${M}^{-1} {L}^{-3} {T}^{4} {A}^{2}$
$(c)$ Permeability of free space, $\mu_{0}$	$(iii)$ ${M}^{-1} L^{-2} T^{4} A^{2}$
$(d)$ Electric field, $E$	$(iv)$ ${M}^{1} {L}^{1} {T}^{-2} {A}^{-2}$

Choose the correct answer from the options given below

$Assertion$ : The driver in a vehicle moving with a constant speed on a straight road is in a noninertial frame of reference.
$Reason$ : A reference frame in which Newton's laws of motion are applicable is non-inertial.

One mole of an ideal gas with $\gamma = 1.4$, is adiabatically compressed so that its temperature rises from $27°C$ to $35°C$. The change in the internal energy of the gas is ....... $J$ $(R = 8.3\,J/mol.K)$