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I can\'t get (g). The output voltage of an AC generator is given by v = (210 V)s

ID: 1369754 • Letter: I

Question

I can't get (g).

The output voltage of an AC generator is given by

v = (210 V)sin(50t).

The generator is connected across a 19.0- resistor.

(a) By inspection, what is the maximum voltage?
  210 V

(b) By inspection, what is the frequency?
25 Hz

(c) Find the rms voltage across the resistor.
147 V

(d) Find the rms current in the resistor.
7.7 A

(e) Find the maximum current in the resistor.
11 A

(f) Find the power delivered to the resistor.
  1126.5 W

(g) Find the current when

t = 0.0050 s.

_______ A

(h) Should the argument of the sine function be in degrees or radians?

  

Explanation / Answer

Here ,

for g)

delta V = 210 * sin(50 * pi*t)

at t = 0.0050 s

delta V = 210 * sin(50 pi * 0.0050)

delta V = 210 * sin(1.571)

delta V = 210 V

current in resistance = 210/19

current in resistance = 11.1 A

the current in resistance is 11.1 A

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