6 a Fig. 2 shows a generator connected to an electric circuit (referred to a s B

Question

6 a Fig. 2 shows a generator connected to an electric circuit (referred to a s Black Box) that could possibly contain a combination of resistance, capacitance and inductance. "Black box" simply means that the contents of the circuit is unknown. You will now determine some information about what is in the "black box" based on your knowledge of R- L-C circuits. The generator supplies an alternating emf E(t) 65.8 V sin (wdt), and the resulting current is i(t) 25.0 mA sin (wdt 15.0 o). What is the power factor of the circuit? Give your answer in the form "a bc".

Explanation / Answer

a)

Power factor =cos(15)=0.97

d)

No ,since voltage and current are not in phase in the circuit

e)

Here current lead the voltage ,the device consists of (e)a resistor and a capacitor

f)

average rate energy delivered by the box is

Pav=(1/2)VIcos(o)=(1/2)*65.8*(25*10-3)*cos15=1589 mW

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