Embibe Experts Solutions for Chapter: Electromagnetic Induction and Alternating Current, Exercise 1: TS EAMCET - 5 August 2021 Shift 1

A wire loop enclosing a semi-circle of radius $R$ is located on the boundary of a uniform magnetic field of induction $\overrightarrow{B}.$ At time $t=0$, the loop is set into rotation with velocity $\omega$? about its axis $0$, coinciding with a line of vector $\overrightarrow{B}$ on the boundary as shown in the figure. The emf induced in the loop is

A long straight solenoid with a cross-sectional radius $\text{'}a\text{'}$ and number of turns per unit length $\text{'}n\text{'}$ has a current varying with time as $I\left(\mathrm{A} {\mathrm{s}}^{-1}\right).$ The magnitude of the electric field as a function of distance $\text{'}r\text{'}$ from the solenoid axis is, 

An infinitely long cylinder is kept parallel to an uniform magnetic field $B$ directed along the positive $z$-axis. The direction of induced current as seen from the $z$-axis will be

A coil of resistance $50 \mathrm{\Omega }$ is connected across a $5.0 \mathrm{V}$ battery. If the current in the coil is found to be $50 \mathrm{mA}$ after the time $t=0.1 \mathrm{s}$ battery is connected, then the inductance of the coil is

An alternating current is given by $i=2\sin \omega t+6\cos \omega t.$ The R.M.S. current in amperes is,

A resistance of $20 \mathrm{\Omega }$ is connected to an alternating current source of $110 \mathrm{V}$. If the frequency of the A.C. source is $50 \mathrm{Hz}$, then the time taken by the current to change from its maximum value to the R.M.S. value is

A resistor of $20\mathrm{\Omega }$ and a capacitor are connected in series with an $AC$ current source of $50 \mathrm{Hz}.$ What should be the capacitance to produce a phase difference of $30°$ between the voltage and current?

How much current is drawn by the primary coil of a transformer, which steps down $220 \mathrm{V}$ to $55 \mathrm{V}$ to operate a device with an impedance of $275\mathrm{\Omega }?$