The current in a resistor is given by I = (5.14A) sin (70 ? t) when a voltage gi

Question

The current in a resistor is given by I = (5.14A) sin (70 ? t) when a voltage given by V = (180V) sin (70 ? t) is applied to it.

Part A

What is the resistance value?

Express your answer using two significant figures.

R =    ?

Part B

What is the frequency of the voltage source?

Express your answer using two significant figures.

F =            Hz

Part C

What is the period of the voltage source?

Express your answer using two significant figures.

T =        s

Part D

What is the average power delivered to the resistor?

Express your answer using two significant figures.

--

p =       W

Explanation / Answer

a)

R=V/I =180/5.14

R=35.02 ohms

b)

W=70pi

f=W/2pi =70pi/2pi

f =35 Hz

c)

T=1/f =1/35

T=0.03 s

d)

Pav =VI/2 =180*5.14/2

Pav =462.60 W

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