HARD
JEE Main
IMPORTANT
Earn 100

A small circular loop of wire of radius a  is located at the centre of a much larger circular wire loop of radius b. The two loops are in the same plane. The outer loop of radius b carries an alternating current I=I0cosωt. The emf induced in the smaller inner loop is nearly:

33.33% studentsanswered this correctly

Important Questions on Electromagnetic Induction and Alternating Currents

HARD
JEE Main
IMPORTANT
A sinusoidal voltage of peak value 283 V and angular frequency 320 s-1 is applied to a series LCR circuit. Given that R=Ω, L=25 mH and C=1000 μF. The total impedance and phase difference between the voltage across the source and the current will respectively be-
EASY
JEE Main
IMPORTANT
A series LR circuit is connected to a voltage source with Vt=V0sinωt . After a very large time, current It behaves as t0LR:
MEDIUM
JEE Main
IMPORTANT
An arc lamp requires a direct current of 10 A at 80 V to function. If it is connected to a 220 V (rms), 50 Hz AC supply, the series inductor needed for it to work is close to:
HARD
JEE Main
IMPORTANT
A conducting metal circular-wire-loop of radius r is placed perpendicular to a magnetic field which varies with time as B=B0e-tτ, where B0 and τ are constants at time t=0. If the resistance of the loop is R, then the heat generated in the loop after a long time t is
HARD
JEE Main
IMPORTANT
A fighter plane of length 20 m, wing span (distance from tip of one wing to the tip of the other wing) of 15 m and height 5 m is flying towards east over Delhi. Its speed is 240 ms-1. The earth's magnetic field over Delhi is 5×10-5T with the declination angle ~0o and dip of θ such that sinθ=23. If the voltage developed is VB between the lower and upper side of the plane and VW between the tips of the wings then VB and VW are close to :
HARD
JEE Main
IMPORTANT
Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed v in a uniform magnetic field B going into the plane of the paper (see figure). If charge densities σ1 and σ2 are induced on the left and right surfaces respectively of the sheet, then (ignore fringe effects)

Question Image
EASY
JEE Main
IMPORTANT
When the current in a coil changes from 5 A to 2 A in 0.1 s, an average voltage of 50V is produced. The self-inductance of the coil is
HARD
JEE Main
IMPORTANT
An LCR circuit is equivalent to a damped pendulum. In an LCR circuit the capacitor is charged to Q0 and then connected to the L and R as shown below:
Question Image
If a student plots graphs of the square of maximum charge QMax2 on the capacitor with time (t) for two different values L1 and L2(L1>L2) of L then which of the following represents this graph correctly? (plots are schematic and not drawn to scale)