Question
Find the charge on the capacitor shown in figure.

Answer

In steady stage condition no current flows through the capacitor.

$\text{R}_\text{eff}=10+20=30\Omega$
$\text{i}=\frac{2}{30}=\frac{1}{15}\text{A}$
Voltage drop across $10\Omega$ resistor = i × R
$=\frac{1}{15}\times10=\frac{10}{15}=\frac{2}{3}\text{V}$
Charge stored on the capacitor (Q) = CV
$=6\times10^{-6}\times\frac{2}{3}=4\times10^{-6}\text{C}=4\mu\text{C}.$

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

Similar questions

Electromotive forces of two cells are $E_1$ and $E _2$ and their internal resistances are $r_1$ and $r_2$. Find equivalent electromotive force and equivalent internal resistance on joining them in series.
The wavelength of a probe is roughly a measure of the size of a structure that it can probe in some detail. The quark structure of protons and neutrons appears at the minute length$-$scale of $10^{–15} m$ or less. This structure was first probed in early $1970’s$ using high energy electron beams produced by a linear accelerator at Stanford, $\text{USA.}$ Guess what might have been the order of energy of these electron beams. $($Rest mass energy of electron $= 0.511\ MeV.)$
A sinusoidal voltage of peak value $283 V$ and frequency $50 Hz$ is applied to a series $L C R$ circuit in which $R =3 \Omega, L=25.48 mH$, and $C =796 \mu F$. Find (a) the impedance of the circuit; (b) the phase difference between the voltage across the source and the current; (c) the power dissipated in the circuit; and (d) the power factor.
Answer the following questions.
  1. Draw the magnetic field lines due to two straight, long, parallel conductors carrying currents $I_1$ and $I_2$ in the same direction. Write an expression for the force acting per unit length on one conductor due to other. Is this force attractive or repulsive?
  1. Figure shows a rectangular current$-$carrying loop placed $2\ cm$ away from a long, straight, current$-$carrying conductor. What is the direction and magnitude of the net force acting on the loop?

A rectangular wire frame, shown below, is placed in a uniform magnetic field directed upward and normal to the plane of the paper. The part AB is connected to a spring. The spring is stretched and released when the wire AB has come to the position A′ B′ (t = 0) How would the induced emf vary with time? Neglect damping.
A polythene piece rubbed with wool is found to have a negative charge of $3 \times 10^{-7} C$.
  1. Estimate the number of electrons transferred $($from which to which?$)$
  2. Is there a transfer of mass from wool to polythene?
A certain material has refractive indices 1.56, 1.60 and 1.68 for red, yellow and violet light respectively.
  1. Calculate the dispersive power.
  2. Find the angular dispersion produced by a thin prism of angle 6° made of this material.
In a pure semiconductor, the number of conduction electrons is $6 \times 10^{19}$ per cubic metre. How many holes are there in a sample of size $1\ cm \times 1\ cm \times 1mm$?
A cyclotron’s oscillator frequency is 10MHz. What should be the operating magnetic field for accelerating protons? If the radius of its ‘dees’ is 60 cm, calculate the kinetic energy (in MeV) of the proton beam produced by the accelerator.
The condition of air in a cloeed room is described as follows. Temperature $= 25^\circ C,$ relative humidity $= 60\%,$ pressure $= 104\ kPa$. lf all the water vapour is removed from the room without changing the temperature, what will be the new pressure? The saturation vapour pressure at $25^\circ C = 3.2\ kPa$.