Magnitude of Potential Difference?

Question

I wrote this earlier but accidentally left out a few details so here it goes again...

A 50 Hz alternating current passes through a resistor.

Magnitude of Potential Difference? Please Help!?

The current is zero at t=0. Rank in order, from largest to smallest, the magnitudes of the potential differences across the resistor, at the following times: t1 = .008s, t2 = .016s, t3 = .024 s, t4 = .032 s, and t5 =.040 s Indicate any ties.

Can someone help me please? I don't even know what equation to use??

Answer 1

With the Ohm's law we know that E=R*I

at time 0s we have I=0 so E=R*I=R*0=0Volt

now the current will evolve according to a sine wave that

makes a full cycle in (1/50) second and reach

a maximal value of Ipeak

I=Ipeak * sin(360° * t * 50)

and E=R * Ipeak * sin(360° * t * 50)