Consider the following statements regarding an electrostatic field:
1. It is irrotational
2. It is solenoidal
3. It is static only from a macroscopic view point
4. Work done in moving a charge in the field from one point to another is independent of the path of movement
Which of these statements are correct?
If the electric field established by three point charges Q, 2Q and 3Q exert a force 3F on 3Q and 2F on 2Q, then what is the force exerted on the point charge Q?
An infinitely long uniform solid wire of radius a carries uniform dc current of density J.
The magnetic field at a distance r from the center of the wire is proportional to
A parallel plate air-filled capacitor has plate area of 10-4 m2 and plate separation of 10-3 m. It is connected to a 2 V, 1.8 GHz source. The magnitude of the displacement current is (ε0=36π1×10−9Fm−1)
The inductance and energy stored in joules in the magnetic field of the solenoid having length 30 cm and diameter 3 cm and wound with 1000 turns of wire when carrying a current of 10 Amp.
Find, which statement is ""TRUE' for A vector field F
I. Solenoidal and irrotational if ∇ ⋅ F = 0 and ∇ × F = 0
II. Solenoidal but not irrotational, if ∇ ⋅ F ≠ 0 and ∇ × F = 0
III. Irrotational but not solenoidal, if ∇ × F ≠ 0 and ∇ ⋅ F ≠ 0
IV. Neither solenoidal nor irrotational, if ∇ ⋅ F ≠ 0 and ∇ × F ≠ 0
According to Ampere's circuital Law the line integral of H about any closed path is exactly . . . . . . . . to the direct current enclosed by that path.
Consider an interface between two dielectric materials, one with εr = 2 while the other has εr = 5. If the tangential component of electric field on one side of the interface has a magnitude of 10 V.m-1. What is the magnitude of the tangential component of electric field on the other side?
A plane electromagnetic wave travelling in a perfect dielectric medium of characteristic impedance η1 is incident normally on its boundary with another perfect dielectric medium of characteristic impedance η2. The electric and magnetic field strengths of the incident wave are denoted by E1 and H1 respectively whereas Er
and Hr denote these quantities for the reflected wave, and Et and Ht for the transmitted wave.
Which of the following relations are correct?
1. Ei = η1Hi
2. Er = η1Hr
3. Et = -η2Ht
Select the correct answer using the options given below: