List of practice Questions

A cylindrical object of density $600\,\text{kg/m}^3$ and height $8$ cm is floating in a liquid of density $900\,\text{kg/m}^3$. Find height of cylinder inside liquid.

Find the mutual inductance in the arrangement, when a small circular loop of radius R is placed inside a large square loop of side \(L\) (\(L \gg R\)). The loops are coplanar and their centers coincide:

A small square loop of wire of side l is placed inside a large square loop of wire L(L>>l). As shown in figure, both loops are coplanar and their centers coincide at point O. The mutual inductance of the system is:

There are two long co-axial solenoids of same length $l$. the inner and outer coils have radii $r_1$ and $r_2$ and number of turns per unit length $n_1$ and $n_2$ respectively. The rate of mutual inductance to the self-inductance of the inner-coil is :

Two concentric conducting rings of radius a and b are placed as shown in diagram (a < < b). Find coefficient of mutual inductance of rings

In a given AC circuit consisting of a resistor R and an inductor L and source emf, two voltmeter V₁ & V₂ are connected as shown. If V₂ = 36 volts then inductance of inductor is (Resistance R is √91Ω.)