1
JEE Main 2022 (Online) 26th June Morning Shift
+4
-1

The magnetic flux through a coil perpendicular to its plane is varying according to the relation $$\phi = (5{t^3} + 4{t^2} + 2t - 5)$$ Weber. If the resistance of the coil is 5 ohm, then the induced current through the coil at t = 2 s will be,

A
15.6 A
B
16.6 A
C
17.6 A
D
18.6 A
2
JEE Main 2022 (Online) 26th June Morning Shift
+4
-1

If Electric field intensity of a uniform plane electromagnetic wave is given as $$E = - 301.6\sin (kz - \omega t){\widehat a_x} + 452.4\sin (kz - \omega t){\widehat a_y}{V \over m}$$. Then magnetic intensity 'H' of this wave in Am$$-$$1 will be :

[Given : Speed of light in vacuum $$c = 3 \times {10^8}$$ ms$$-$$1, Permeability of vacuum $${\mu _0} = 4\pi \times {10^{ - 7}}$$ NA$$-$$2]

A
$$+ 0.8\sin (kz - \omega t){\widehat a_y} + 0.8\sin (kz - \omega t){\widehat a_x}$$
B
$$+ 1.0 \times {10^{ - 6}}\sin (kz - \omega t){\widehat a_y} + 1.5 \times {10^{ - 6}}(kz - \omega t){\widehat a_x}$$
C
$$- 0.8\sin (kz - \omega t){\widehat a_y} - 1.2\sin (kz - \omega t){\widehat a_x}$$
D
$$- 1.0 \times {10^{ - 6}}\sin (kz - \omega t){\widehat a_y} - 1.5 \times {10^{ - 6}}\sin (kz - \omega t){\widehat a_x}$$
3
JEE Main 2022 (Online) 25th June Evening Shift
+4
-1

A sinusoidal voltage V(t) = 210 sin 3000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 $$\mu$$F and R = 100 $$\Omega$$. The phase difference ($$\Phi$$) between the applied voltage and resultant current will be :

A
tan$$-$$1(0.17)
B
tan$$-$$1(9.46)
C
tan$$-$$1(0.30)
D
tan$$-$$1(13.33)
4
JEE Main 2022 (Online) 25th June Evening Shift
+4
-1

The electromagnetic waves travel in a medium at a speed of 2.0 $$\times$$ 108 m/s. The relative permeability of the medium is 1.0. The relative permittivity of the medium will be :

A
2.25
B
4.25
C
6.25
D
8.25
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