Class 12 Physics: Electromagnetic Induction (Hard)

A metallic rod of length 'l' is rotated with an angular frequency 'ω' perpendicular to a uniform magnetic field 'B' about an axis passing through one end of the rod. The EMF induced across the ends of the rod is:

Two coils P and Q are placed close to each other. If the current in coil P is changed, some EMF is induced in coil Q. Which of the following statements is INCORRECT?

According to Lenz's Law, the direction of induced current is such that it _________ the cause producing it.

An inductor of inductance L, a capacitor of capacitance C, and a resistor of resistance R are connected in series across an AC source. The circuit is at resonance. What is the phase difference between the voltage across the inductor and the voltage across the capacitor?

A bicycle wheel with metallic spokes of 1 meter length rotates at 120 RPM in a place where the Earth's magnetic field component perpendicular to the plane of the wheel is 0.5 x 10^-4 T. Calculate the EMF induced between the axle and the rim of the wheel.

A square loop of side 'a' is placed in a non-uniform magnetic field B = B₀x k̂. The loop is initially at x = 0 with its sides parallel to the x and y axes. If the loop moves with a constant velocity v î, what is the induced EMF in the loop?

The self-inductance of a long solenoid is directly proportional to the square of the number of turns per unit length and the ______ of its cross-sectional area.

When a current in a coil changes from 5 A to 2 A in 0.1 s, an average voltage of 50 V is induced in another coil. The mutual inductance between the two coils is:

Energy stored in an inductor is given by the formula E = __________, where L is inductance and I is current.

Explain why it is dangerous to open an AC circuit containing a large inductor by suddenly pulling the plug.