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# GATE 2022: Electromagnetic Field-47 (App update required to attempt this test)

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Question 1

If A = 2xi + 3yj + 4zk and u = x2 + y2 + z2, then div (uA) at (1, 1, 1) is ________.

Question 2

Two conductor of infinite length are kept parallel to each other keeping the distance of 20 cm between them. The conductors are kept in such a way that current of 10 A flows in direction. The force per unit length on one conductor due to the other conductor would be

Question 3

Find the emf developed about the paths r = 0.5, z= 0 at t = 0 if

Question 4

In a region where and σ =0,(Magnetic vector potential) = 10–3 y cos 3× 108t cosz Wb/m and V= 3 × 105 y sin 3 × 108t sinz volts. Then the value of E is = –A sin (3 × 108 t) V/m. Find A

Question 5

A flux through conductor of circular cross section of radius 50 mm and μ = 1.005 carries an electric current of 100 Amp, Calculate the pressure at the center of conductor which is of the from Kp2 where p is the distance inside conductor. Find k?

Question 6

If f = 2x3 + 3y2 + 4z, the value of line integral grade f . dr evaluated over contour C formed by the segments (-3, -3, 2) (2, -3, 2) (2, 6, 2) (2, 6, -1) is ___________.
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