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

Two coils of self inductance L1 and L2 are connected in series combination having mutual inductance of the coils as M. The equivalent self inductance of the combination will be :

A
$${1 \over {{L_1}}} + {1 \over {{L_2}}} + {1 \over M}$$
B
$${L_1} + {L_2} + M$$
C
$${L_1} + {L_2} + 2M$$
D
$${L_1} + {L_2} - 2M$$
2
JEE Main 2022 (Online) 26th June Evening Shift
+4
-1

A metallic conductor of length 1 m rotates in a vertical plane parallel to east-west direction about one of its end with angular velocity 5 rad s$$-$$1. If the horizontal component of earth's magnetic field is 0.2 $$\times$$ 10$$-$$4 T, then emf induced between the two ends of the conductor is :

A
5 $$\mu$$V
B
50 $$\mu$$V
C
5 mV
D
50 mv
3
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
4
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
A square loop of side 20 cm and resistance 1$$\Omega$$ is moved towards right with a constant speed v0. The right arm of the loop is in a uniform magnetic field of 5T. The field is perpendicular to the plane of the loop and is going into it. The loop is connected to a network of resistors each of value 4$$\Omega$$. What should be the value of v0 so that a steady current of 2 mA flows in the loop?

A
1 m/s
B
1 cm/s
C
102 m/s
D
10$$-$$2 cm/s
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