An alternating voltage $E = 200\sqrt{2} \sin(100t)$ is connected to a $1 \mu F$ capacitor through an $AC$ ammeter. The reading of the ammeter shall be $mA$.

$(i)$ What is the angle between the phasor of $V_R$ and $I$?
$(ii)$ The voltage phasor $V_C$ is ...... of the current phasor $I$. (Fill in the blank)

Which of the following curves correctly represents the variation of capacitive reactance $X_C$ with frequency $f$?

An alternating e.m.f. is applied to a purely capacitive circuit. What is the phase relation between the e.m.f. and the current flowing in the circuit?

$A$ capacitor of capacitance $10 \mu F$ is connected to an $AC$ source and an $AC$ Ammeter. If the source voltage varies as $V = 50 \sqrt{2} \sin 100 t$, the reading of the ammeter is (in $\text{ mA}$)

As per the given graph,choose the correct representation for curve $A$ and curve $B$. Where $X_{C} =$ reactance of a pure capacitive circuit connected to an $A.C.$ source,$X_{L} =$ reactance of a pure inductive circuit connected to an $A.C.$ source,$R =$ resistance of a pure resistive circuit connected to an $A.C.$ source,and $Z =$ impedance of the $LCR$ series circuit.