Question
When $1.0 \times 10^{12}$ electrons are transferred from one conductor to another, a potential difference of $10V$ appears between the conductors. Calculate the capacitance of the two$-$conductor system.
✓
Answer
Given that
Number of electron $= 1 \times 10^{12}$
Net charge $Q = 1 \times 10^{12} \times 1.6 \times 10^{-19} = 1.6 \times 10^{-7}C$
$\therefore$ The net potential difference $= 10L.$
$\therefore$ Capacitance
$\text{C}=\frac{\text{q}}{\text{v}}$
$=\frac{1.6\times10^{-7}}{10}$
$=1.6\times10^{-8}\text{F}.$
Number of electron $= 1 \times 10^{12}$
Net charge $Q = 1 \times 10^{12} \times 1.6 \times 10^{-19} = 1.6 \times 10^{-7}C$
$\therefore$ The net potential difference $= 10L.$
$\therefore$ Capacitance
$\text{C}=\frac{\text{q}}{\text{v}}$
$=\frac{1.6\times10^{-7}}{10}$
$=1.6\times10^{-8}\text{F}.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
(a) Magnetic field lines show the direction (at every point) along which a small magnetised needle aligns (at the point). Do the magnetic field lines also represent the lines of force on a moving charged particle at every point?
(b) If magnetic monopoles existed, how would the Gauss's law of magnetism be modified?
(c) Does a bar magnet exert a torque on itself due to its own field? Does one element of a current-carrying wire exert a force on another element of the same wire?
(d) Magnetic field arises due to charges in motion. Can a system have magnetic moments even though its net charge is zero?
(b) If magnetic monopoles existed, how would the Gauss's law of magnetism be modified?
(c) Does a bar magnet exert a torque on itself due to its own field? Does one element of a current-carrying wire exert a force on another element of the same wire?
(d) Magnetic field arises due to charges in motion. Can a system have magnetic moments even though its net charge is zero?
As the earth rotates about its axis, a person living in his house at the equator goes in a circular orbit of radius equal to the radius of the earth. Why does he/ she not feel weightless as a satellite passenger does?
An ideal diode should pass a current freely in one direction and should stop it completely in the opposite direction. Which is closer to ideal-vacuum diode or a p-n junction diode?
The wavelength of light from the spectral emission line of sodium is $589 \ nm$. Find the kinetic energy at which,
→- An electron, and
- $A$ neutron, would have the same de Broglie wavelength.
Draw a plot showing the variation of power of a lens with the wavelength of the incident light.
The index of refraction of fused quartz is 1.472 for light of wavelength 400nm and is 1.452 for light of wavelength 760nm. Find the speeds of light of these wavelengths in fused quartz.
A metre scale made of steel is calibrated at $20^\circ C$ to give correct reading. Find the distance between the $50\ cm$ mark and the $51\ cm$ mark if the scale is used at $10^\circ C.$ Coefficient of linear expansion of steel is $1.1 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}.$
→According to Newton's third law each team pulls the opposite team with equal force in a tug of war. Why then one team wins and the other loses?
A cart of mass M is at rest on a frictionless horizontal surface and a pendulum bob of mass m hangs from the roof of the cart. The string breaks, the bob falls on the floor, makes several collisions on the floor and finally lands up in a small slot made in the floor. The horizontal distance between the string and the slot is L. Find the displacement of the cart during this process.
A spherical shell made of plastic, contains a charge Q distributed uniformly over its surface. What is the electric field inside the shell? If the shell is hammered to deshape it without altering the charge, will the field inside be changed? What happens if the shell is made of a metal?