- #1
cseet
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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
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