An $AC$ generator consists of a coil of $100$ turns and is of cross-sectional area $3 \ m^2$. It is rotating at a constant angular speed of $60 \ rad \ s^{-1}$ in a uniform magnetic field of $0.04 \ T$. The resistance of the coil is $360 \ \Omega$. What is the maximum power dissipation in the coil (in $W$)?

$A$ series $RLC$ circuit is shown here. The source frequency $f$ is varied, but the current is kept unchanged. Which of the curves showing changes of $V_C$ and $V_L$ with frequency would be valid for the circuit under consideration?

Assertion: Long distance power transmission is done at high voltage.
Reason: At high voltage supply, power losses are less.

The self-inductance of a choke coil is $10\, mH$. When it is connected to a $10\, V$ $dc$ source,the power loss is $20\, W$. When it is connected to a $10\, V$ $ac$ source,the power loss is $10\, W$. The frequency of the $ac$ source is......$Hz$.

Given below are two statements :
Statement $I$ : In an $LCR$ series circuit,current is maximum at resonance.
Statement $II$ : Current in a purely resistive circuit can never be less than that in a series $LCR$ circuit when connected to the same voltage source.
In the light of the above statements,choose the correct option from the options given below :

$A$ series $LCR$ circuit has $L=0.01\,H$,$R=10\,\Omega$,and $C=1\,\mu F$ and it is connected to an $AC$ voltage of amplitude $V_m = 50\,V$. At a frequency $60\%$ lower than the resonant frequency,the amplitude of the current will be approximately $...............\,mA$.