Advertisements
Advertisements
Question
A point charge of 2.0 μC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
Solution
Φ = `q/ε_0`
= `(2 xx 10^-6)/(8.85 xx 10^-12)`
= 0.23 × 106
or Φ = 2.3 × 105 N m2 C-1
APPEARS IN
RELATED QUESTIONS
A 36 cm long sonometer wire vibrates with frequency of 280 Hz in fundamental mode, when it is under tension of 24.5 N. Calculate linear density of the material of wire.
"For any charge configuration, equipotential surface through a point is normal to the electric field." Justify.
Obtain the formula for the electric field due to a long thin wire of uniform linear charge density λ without using Gauss’s law. [Hint: Use Coulomb’s law directly and evaluate the necessary integral.]
Electric intensity outside a charged cylinder having the charge per unit length 'λ' at a distance from its axis is ________.
(a) E = `(2pi in_0 lambda)/(Kr^2)`
(b) E = `(in_0 lambda)/(2piKr^2)`
(c) E = `lambda/(2piin_0Kr)`
(d) E = `(4piin_0lambda)/(Kr^2)`
A point charge q is at a distance of d/2 directly above the centre of a square of side d, as shown the figure. Use Gauss' law to obtain the expression for the electric flux through the square.
Use Gauss' law to derive the expression for the electric field `(vecE)` due to a straight uniformly charged infinite line of charge density λ C/m.
Find the work done in bringing a charge q from perpendicular distance r1 to r2 (r2 > r1)
The electric field intensity outside the charged conducting sphere of radius ‘R’, placed in a medium of permittivity ∈ at a distance ‘r’ from the centre of the sphere in terms of surface charge density σ is
State Gauss’Law.
Which statement is true for Gauss law -
A spherical ball contracts in volume by 0.02% when subjected to a pressure of 100 atmosphere. Assuming one atmosphere = 105 Nm−2, the bulk modulus of the material of the ball is:
The electric field inside a spherical shell of uniform surface charge density is ______.
Sketch the electric field lines for a uniformly charged hollow cylinder shown in figure.
- Obtain the expression for the electric field intensity due to a uniformly charged spherical shell of radius R at a point distant r from the centre of the shell outside it.
- Draw a graph showing the variation of electric field intensity E with r, for r > R and r < R.
A solid metal sphere of radius R having charge q is enclosed inside the concentric spherical shell of inner radius a and outer radius b as shown in the figure. The approximate variation of the electric field `vecE` as a function of distance r from centre O is given by ______.
An infinitely long positively charged straight wire has a linear charge density λ. An electron is revolving in a circle with a constant speed v such that the wire passes through the centre, and is perpendicular to the plane, of the circle. Find the kinetic energy of the electron in terms of the magnitudes of its charge and linear charge density λ on the wire.
Draw a graph of kinetic energy as a function of linear charge density λ.
