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.. A circuit comprises a 5.0 ? resistor, a 100 mH inductor and a 1.0 mF capacito

ID: 2133422 • Letter: #

Question

..A circuit comprises a 5.0 ? resistor, a 100 mH inductor and a 1.0 mF capacitor connected in series with an ac voltage source of amplitude 50 V and angular frequency 60 s-1.

The reactance of the 100 mH inductor is

The reactance of the 100 mH inductor is

The reactance of the 1.0 mF capacitor is

The reactance of the 1.0 mF capacitor is

The impedence of the circuit is

The impedence of the circuit is

Does the circuit most closely resemble a pure R, L or C circuit?

Does the circuit most closely resemble a pure R, L or C circuit?

Is the phase of the circuit current

Is the phase of the circuit current

The phase angle of this circuit is

The phase angle of this circuit is

170 ? 6.0 ?
6000 ?
0.17 ?

Explanation / Answer

a) reactance of inductor = ang. freq *L = 6 ohm

b) reactance of capacitor = 1/(ang. freq *c) = 17 ohm

c)Z = R +j(Zl-Zc) = 5 + ( - 17 + 6)j = 5 - 11j

|Z| = 11 ohm

d) since capacitance effect is max , hence closely represents a C circuit

e) V is behind of the current since circuit is capacitive.

f) phase angle = arctan(-11/5) = -65degrees

g) Z = 5 +( -17/2 + 6*2)j = 5 - 3.5 ohm

inductance effect is maximum , hence represents closely a L circuit

h) phase angle =36 degrees