In given $L – R$ circuit

A capacitor of capacitance $150.0\,\mu F$ is connected to an alternating source of $emf$ given by $E =36$ $\sin (120 \pi t ) V$. The maximum value of current in the circuit is approximately equal to $……\,A$

When an ac generator of $120\,V$ is connected in series with a capacitor and a resistor of $30\,\Omega $, the circuit carries a current $1·5\,A$. The potential difference across the capacitor will be…..$V$

When an ac source of $e.m.f.\ e = E_0 sin(100t)$ is connected across a circuit, the phase difference between the $e.m.f.\ e$ and the current $i$ in the circuit is observed to be $\frac{\pi }{4}$ as shown in the diagram. If the circuit consists possibly only of $ RC$ or $ RL $ or $ LC$ in series, find the relationship between the two elements

There is no resistance in the inductive circuit. Kirchhoff 's voltage law for the circuit is