Electromagnetic Theory - Study Mode
[#1] If the electrostatic potential were Igiven by $$phi = {phi _0}$$ xa0(x 2 + y 2 + z 2 ), where $${phi _0}$$ is constant, then the charge density giving rise to the above potential would be
Correct Answer
(B) $$ - 6,{phi _0}{varepsilon _0}$$
[#2] 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)
Correct Answer
(C) $$overrightarrow
abla imes overrightarrow {x08f{B}} = 0,,,left( {{ ext{for }}r > R}
ight)$$
[#3] A circular arc QTS is kept in an external magnetic field $${overrightarrow {x08f{B}} _0}$$ as shown in figure. The arc carries a current $$l$$. The magnetic field is directed normal and into the page. The force acting on the arc is
Correct Answer
(B) $$l{B_0}R{x08f{hat k}}$$
[#4] The trace of a 3 × 3 matrix is 2. Two of its eigen values are 1 and 2. The third eigen value is
Correct Answer
(A) -1
[#5] An infinite conducting sheet in the X-Y-plane carries a surface current density K along the Y-axis. The magnetic field $$overrightarrow {x08f{B}} $$ for z > 0 is
Correct Answer
(C) $$overrightarrow {x08f{B}} = {mu _0}Koverrightarrow {x08f{i}} /2$$