Electromagnetic Theory [GATE (Graduate Aptitude Test in Engineering) Physics (PE)]: Questions 42 - 47 of 276
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Question 42
Appeared in Year: 2012
Question MCQ▾
Consider an infinite conducting sheet in the XY – plane with a time dependent current density , where K is constant. The vector potential at is given by . The magnetic field is –
(December)
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Passage
The magnetic field of the mode of a rectangular waveguide of dimensions as shows in the figure is given by , where and are in cm.
Question 43 (1 of 2 Based on Passage)
Question 44 (2 of 2 Based on Passage)
Question MCQ▾
The entire range of frequencies for which the mode will propagate is:
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 45
Appeared in Year: 2011
Question MCQ▾
A constant electric current I in an infinitely long straight wire is suddenly switched on at . The vector potential at a perpendicular distance from the wire is given by . The electric field at a distance is –
(December)
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | 0 | |
d. |
Question 46
Appeared in Year: 2011
Question MCQ▾
Consider a solenoid of radius R with turns per unit length, in which a time dependent current (where ) flows. The magnitude of the electric field at a perpendicular distance from the axis of symmetry of the solenoid, is – (December)
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | 0 | |
c. | ||
d. |
Question 47
Appeared in Year: 2011
Question MCQ▾
The Lagrangian of a particle of charge and mass m in applied electric and magnetic field is given by , where and are the vector and scalar potentials corresponding to the magnetic and electric fields, respectively. Which of the following statement is correct? (June)
Choices
Choice (4) | Response | |
---|---|---|
a. | L remains unchanged under a gauge transformation of the potentials | |
b. | The Hamiltonian of the particle is given by | |
c. | Under a gauge transformation of the potentials, L changes by the total time derivative of a function of and . | |
d. | The canonically conjugate momentum of the particle is given by |