Question
When 1.0 × 1012 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 × 1012
Net charge Q = 1 × 1012 × 1.6 × 10-19 = 1.6 × 10-7C
$\therefore$ 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.

Start Generating Free

Similar questions

A person standing on the top of a cliff 171ft high has to throw a packet to his friend standing on the ground 228ft horizontally away. If he throws the packet directly aiming at the friend with a speed of 15.0ft/s, how short will the packet fall?
A charge Q is distributed uniformly over a metallic sphere of radius R. Obtain the expressions for the electric field (E) and electric potential (V) at a point 0 < x < R.
Show on a plot the variation of E and V with x for 0 < x < 2R.
Show that it is not possible for a photon to be completely absorbed by a free electron.
  1. Calculate the equivalent resistance of the given electrical network between points A and B.
  2. Also calculate the current through CD and ACB, if a 10 V d.c. source is connected between A and B, and the value of R is assumed as 2 Ω.

  1. States law of Malus.
  2. Draw a graph showing the variation of intensity (I) of polarised light transmitted by an with angle $(\theta)$between polariser and analyser.
  3. What is the value of refractive index of a medium of polarising angle 60o?
The electric field in a region is given by $\overrightarrow{\text{E}}=\frac{3}{5}\text{E}_0\overrightarrow{\text{i}}+\frac{4}{5}\text{E}_0\overrightarrow{\text{j}}$ with $\text{E}_0=2.0\times10^3\text{NC}^{-1}.$ Find the flux of this field through a rectangular surface of area 0.2m2 parallel to the y-z plane.
Three rays (1, 2, 3) of different colours fall normally on one of the sides of an isosceles right angled prism as shown. The refractive index of prism for these rays is 1.39, 1.47 and 1.52 respectively. Find which of these rays get internally reflected and which get only refracted from AC. Trace the paths of rays. Justify your answer with the help of necessary calculations.

Let AE denote the energy gap between the valence band and the conduction band. The population of conduction electrons (and of the holes) is roughly proportional to $\text{e}^{\frac{-\Delta\text{E}}{2\text{kT}}}.$ Find the ratio of the concentration of condu.ction electrons in diamond to that in silicon at room temperature 300K. $\Delta\text{E}$ for silicon is 1.1eV and for diamond is 6.0eV. How many conduction electrons are likely to be in one cubic metre of diamond?
The spring shown in figure is unstretched when a man starts pulling on the cord. The mass of the block is M. If the man exerts a constant force F, find
  1. The amplitude and the time period of the motion of the block,
  2. The energy stored in the spring when the block passes through the equilibrium position and,
  3. The kinetic energy of the block at this position.