Question

A galvanometer of resistance G is converted into a voltmeter of range (0 − V) by using a resistance R. Find the resistance, in terms of R and G, required to convert it into a voltmeter of range (0 − V/2).

The magnetic flux through a coil of resistance 5 Ω increases with time as : φ = (2.0 t³ + 5.0 t² + 6.0 t) mWb Find the magnitude of induced current through the coil at t = 2 s.

A rectangular coil of N turns and area of cross-section A is rotated at a steady angular speed ω in a uniform magnetic field. Obtain an expression for the emf induced in the coil at any instant of time.

Two coplanar and concentric circular loops L₁ and L₂ are placed coaxially with their centres coinciding. The radii of L₁ and L₂ are 1 cm and 100 cm respectively. Calculate the mutual inductance of the loops. (Take π² = 10)

State Faraday's law of electromagnetic induction and mention the utility of Lenz's law. Obtain an expression for self-inductance of a coil in terms of its geometry and permeability of the medium.