The maximum power dissipated in a resistor carrying an alternating current is $10 \mathrm{W}$. What is the mean power dissipated in the resistor?

The alternating current I in ampere (A) in a filament lamp is represented by the equation $I=1.5\sin \left(40t\right)$. Identify peak current and angular frequency.

Write down a general expression for the sinusoidal variation with time t of an alternating voltage V.

Write down a general expression for the sinusoidal variation with time t of an alternating current I (you may assume that I and V are in phase).

Write down a general expression for the sinusoidal variation with time t of the power P dissipated due to this current and voltage.

The alternating current I in ampere (A) in a circuit is represented by the equation $I=2.0\sin \left(50\mathrm{\pi t}\right)$. State the peak value of the current.

The alternating current I in ampere (A) in a circuit is represented by the equation $I=2.0\sin \left(50\mathrm{\pi t}\right)$. Calculate the frequency of the alternating current.

The alternating current I in ampere (A) in a circuit is represented by the equation $I=2.0\sin \left(50\mathrm{\pi t}\right)$. Sketch a graph to show two cycles of the variation of current with time. Mark the axes with suitable values.

The alternating current I in ampere (A) in a circuit is represented by the equation $I=2.0\sin \left(50\mathrm{\pi t}\right)$, then calculate $I_{r.m.s.}$ the r.m.s. value of current, and mark this on your graph in part c.