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From a point charge +Q, the electric field spreads in all 360 degrees. The calculation of electric field in this case will be a spherical system. Thus it is charged in space.
Consider sphere of radius R having uniform volume charge density ρ is rotating about it diameter. The magnetic dipolemoment of this charge distribution is
A spherical conductor of radius r_{1} has surface charge density σ. There is an another sphere of radius r_{2} (r_{2} > r_{1}) and this sphere is grounded by connecting with the battery of 5 volt. The potential difference between the points lies on the surface of sphere having radius r_{1} and outer surface of the sphere of radius r_{2} is
According to Gauss law, wre can write tlie electnc field
Electric field in a configuration is given by where A and k are constants, the charge density corresponding to the electric field is given by
A sphere of radius r having uniform volume charge density ρ consists. Three cavities of radius r_{1}, r_{2}, r_{3} inside. If the centres of these cavities are located at the distances respectively from die centre of the sphere the sum of electromagnetic field in the cavities will be
Suppose a sphere carrying uniform charge density ρ. Now if we make any cavity inside the sphere then the electric field inside the cavity is uniform and is given by
Two homogeneous cylindrical dielectncal regions, region1 (s < 4 cm) and region2 (s > 4 cm) have dielectric constants 3.5 and 1.5, respectively. If then the value of is given by
The charge density ρ(c/m)^{3} is uniformly distributed in the volume of the cylinder between and then the flux density for r > 5 a will be ______
A electromagnetic wave is passing through a medium of refractive index 1.5. If the phase velocity is 2 * 10^{8} m/s then the angular frequency of the wave will be 10^{n} radian/sec. The value of n will be_________
Consider a electromagnetic wave propagating in free space. If A /m , then the absolute value of E / H is_________________________ π( V / A ). (Answer should be an integer)
A charge particle of mass M is placed below the grounded infinite conducting plate lies in xyplane. If the distance between the charge particle and plate is 2m then the magnitude of charge particle so that it remains stationary is The value of n is _________________ (answer should be integer)
Let the magnitude of charge particle is q.
The cliarge particle will remain stationary if
A plane electromagnetic wave has magnetic field The average pointing vector is
Given comparing this equation with standard wave equation
Which one is the correct representation for vector potential if a uniform magnetic field of magnitude B_{0} is applied along xdirection.
We know that curl of A
if we choose option (c)
A magnetic dipole of moment is placed in a magnetic field, The force on the dipole is given by
The magnetostatics energy of the magnetic dipole when we placed it in the external magnetic field is
Therefore, force on the dipole is
Suppose a currentcarrying wire has bent in the shape ass shown in the figure. The triangular part is an equilateral triangle of side a and the linear parts are assumed to be very long. The magnetic field at the centroid of the triangle is
The given figure have two parts. So, total magnetic field at the centroid is due to linear part plus triangular part. The magnetic field at O is given by
A left circularly polarized beam is incident on a crystal (with its optical axis cut parallel to the surface) if then the state of polarization of the emergent beam will be
Electric field for the incident beam
(∴ for left polarization phase of yaxis is greater)
A parallelplate capacitor is charged to a potential V_{0}, charged Q_{0} and then disconnected from the battery. The separation of the plates is then halved. The change of electrostatic energy is ____________Q_{0}V_{0}.
(Round off to two decimal places)
Initial charge on the plates and potential difference between the plates are Q_{0} and V_{0} respectively. So, the electrostatic energy is stored inside the capacitor is
Now, if we reduce tlie separation between two plates by a factor 1/2 keeping charge fixed, tlie potential difference two plates wil be
Tlierefore, the final electrostatic energy is stored inside the capacitor is,
Therefore, the charge of electrostatic energy;
Suppose a current density in a long cylindrical conductor kept along rdirection is where k is constant and r is radial distance from the axis of cylinder the magnetic induction inside the conductor at distance a /2 from the axis of cylinder is ______ (Upto second decimal place)
Aii unpolarized light is passed through the arrangement of quarterwave plate and polarizers as shown in figure. The intensity of light after passing through P_{4} will be ______ I_{0}.
Dotted lilies shows the pass axis of polarizer and in polarizer 'P_{3}' zaxis is the pass axis.
Q.W.P. will not affect unpolarized light
A light of intensity I incident on a perfect reflecting wall of angle 30° with the normal to the wall. The pressure
on the wall will be ______ I/C. (answer should be upto one decimal places)
Consider n number of photon incident on the wall per second.
Therefore, the change of momentum per second
Therefore, force applied by the photon on the wall is
A sphere of linear dielectric material lias embedded in it a uniform free charge density ρ. If its radius R and its dielectric constant (k = 2), the potential at the centre of the sphere is ______ (Round off to two decimal places)
According to Gauss' law
Corresponding electric field is equal to
Therefore, the electric static potential at the centre of the sphere is
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