Can someone check my Physics working?

[cseet]

Hi all,
can somebody pls check whether or not I'm in the right direction with my workings and answers. If not, can you pls advise why I've gone wrong?

thanks

question 1:
1. An inductor has a 54 ohm reactance at 60 Hz. What is the maximum current if this inductor is connected to a 50 Hz source that produces a 100 Vrms voltage?

answer:
L=?
XL = (2 pie f)(L)
54 = (2 pie 60) L
L = 54 / (2 pie 60) = 0.14H

Imax = ?
f = 50 Hz
Vrms = 100V
V max = 100 * sq root of 2

XL = wL
= (2 pie 50) (0.14)
= 43.98 = 44 ohm

therefore
Imax = Vmax / XL
= (100 * sq root 2) / 44 = 3.2A

question 2:

What maximum current is delivered by a 2.2 microF capacitor when connected to a North American outlet where Vrms = 110 V and f = 60 Hz

answer
Imax = ?
Xc = 1 / (wC) = 1 / [(2 pie 60) * (2.2E-6)]
= 1206 ohm
Imax = Vmax / Xc
= (110 * sq root of 2) / 1206
= 0.13A

thanks again
cseet

[Doc Al]

Looks good to me.

The only thing I could suggest is that when you wish to give your answer to 2 significant figures (which is great!) to be sure to carry all intermediate calculations to at least 3 figures to minimize any round off error. For example, in problem #1 you round off the inductance to 0.14 when a more accurate answer is 0.143. Wait until the last step to round off your answer to a sensible number of figures.