If the electrostatic potential were Igiven by (x2 + y2 + z2), where is constant, then the charge density giving rise to the above potential would be
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Engineering Physics · all questionsElectromagnetic Theory
Electromagnetic Theory
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Consider an infinitely long straight cylindrical conductor of radius R with its axis along the Z-direction, which carries a current of 1A uniformly distributed over its cross-section. Which of the following statements is correct?
(where, r is the radial distance from the axis of the cylinder)
(where, r is the radial distance from the axis of the cylinder)
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A circular arc QTS is kept in an external magnetic field as shown in figure. The arc carries a current . The magnetic field is directed normal and into the page. The force acting on the arc is
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The trace of a 3 × 3 matrix is 2. Two of its eigen values are 1 and 2. The third eigen value is
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An infinite conducting sheet in the X-Y-plane carries a surface current density K along the Y-axis. The magnetic field for z > 0 is
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A plane electromagnetic wave of frequency ω is incident normally on an air-dielectric interface. The dielectric is linear, isotropic, non-magnetic and its refractive index is n. The reflectance (R) and transmittance (T) from the interface are
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A conducting sphere of radius R has charge +Q on its surface. If the charge on the sphere is doubled and its radius is halved, the energy associated with the electric field will
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Four charges are placed at the four corners of a square of side a as shown in the figure. The electric dipole moment of this configuration is
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Far away from any of the resonance frequencies of a medium, the real part of the dielectric permittivity is
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A circular disc of radius a on the XY-plane has a surface charge density The electric dipole moment of this charge distribution is
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An electrostatic field exists in a given region R. Choose the wrong statement.
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A long cylindrical kept along Z-axis carries a current density where is a constant and r is the radial distance from the axis of the cylinder. The magnetic induction inside the conductor at a distance d from the axis of the cylinder is
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A uniform surface current is flowing in the positive Y-direction over an infinite sheet lying in X-Y plane. The direction of the magnetic field is
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The electric field for a circularly polarized electromagnetic wave propagating along the positive Z-direction is
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The stateof polarization of light with the electric field vector is
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A particle with an initial velocity enters a region with an electric field and a magnetic field The trajectory of the particle will
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A thin conducting wire is bent into a circular loop of radius r and placed in a time dependent magnetic field of magnetic induction.
such that, the plane of the loop is perpendicular to Then the induced emf in the loop is
such that, the plane of the loop is perpendicular to Then the induced emf in the loop is
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Which one of the following Maxwell's equations implies the absence of magnetic monopoles?
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An infinitely long closely wound solenoid carries a sinusoidally varying current. The induced electric field is
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A magnetic dipole of dipole moment is placed in a non-uniform magnetic field If the position vector of the dipole is the torque acting on the dipole about the origin is
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