Embibe Experts Solutions for Exercise 4: Assignment

The ratio of initial to final current through the battery when the switch is closed in the figure is

The equivalent inductance of two inductor is $2.4 \mathrm{H}$ when connected in parallel and $10 \mathrm{H}$ when connected in series. The difference between two inductance is (Neglecting mutual induction between coils)

Two coils $A$ and $B$ are wound on the same iron core as shown in figure. The number of turns in the coil $A$ and $B$ are $N_A$ and $N_B$ respectively. Identify the correct statement

An ideal solenoid of cross-sectional area ${10}^{-4}{ \mathrm{m}}^2$ has $500$ turns per metre. At the centre of this solenoid, another coil of $100$ turns is wrapped closely around it. If the current in the coil changes from $0$ to $2 \mathrm{A}$ in $3.14 \mathrm{ms}$, the emf developed in the second coil is

A small square loop of wire of side $l$ is placed inside a large square loop of wire $L\left(L\gg l\right)$. Both loops are coplanar and their centres coincide at point $O$ as shown in figure. The mutual inductance of the system is

A small square loop of wire of side $l$ is placed inside a large circular loops of radius $r.$ The loop are coplanar and their centre coincide. The mutual inductance of the system is proportional to

A motor starter

A simple electric motor has an armature resistance of $1 \mathrm{\Omega }$ and runs from a D.C. source of $12 \mathrm{V}.$ It draws a current of $2 \mathrm{A}$ when unloaded. When a certain load is connected to it, its speed reduces by $10\%$ of its initial value. The current drawn by the loaded motor is