In: Physics

An ac signal at a certain frequency is applied across a 40-mH inductor and a 100-Ω resistor. If the power factor of this circuit is 0.40, what is the value of the frequency?

A.160 Hz B.600 Hz C.910 Hz D.410 Hz C.200 Hz

A circuit consists of inductor, resistor and an ac signal generator.

The power factor of the LR circuit is,

Here R is the resistance and Z is the impedance of the circuit.

Rearrange the equation for Z.

The impedance of the circuit is,

The reactance of the inductor is,

Rearrange the equation for frequency f.

Therefore, the frequnecy is **910 Hz**. Option (c)
is the correct asnwer.

A series ac circuit contains a 210 Ω resistor, a 20.0 mH
inductor, a 3.30 μF capacitor, and an ac power source of voltage
amplitude 45.0 V operating at an angular frequency of 360 rad/s .
1)What is the power factor of this circuit? 2)Find the average
power delivered to the entire circuit. 3)What is the average power
delivered to the resistor, to the capacitor, and to the
inductor?

An ac circuit has a resistance of 40 Ω connected in series to an
inductor of inductive reactance equal to 30 Ω at a frequency of 50
Hz. Find the inductance of the inductor.

The resistanceless inductor is connected across the ac source
whose voltage amplitude is 29.0Vand angular frequency is 1000rad/s
. Find the current amplitude if the self-inductance of the inductor
is
A) 1.00E^-2 H? (A)
B) 1.00 H? (mA)
C) 100 H? (mA)

660 mH inductor has a reactance of 490 Ω and a frequency of 120 Hz. At what frequency would a 0.49 μF capacitor have the same reactance?

A series AC circuit contains a resistor, an inductor of 240 mH,
a capacitor of 5.40 µF, and a source with ΔVmax = 240 V operating
at 50.0 Hz. The maximum current in the circuit is 170 mA.
(a) Calculate the inductive reactance.
_________________Ω
(b) Calculate the capacitive reactance.
______________-Ω
(c) Calculate the impedance.
_______________kΩ
(d) Calculate the resistance in the circuit.
______________kΩ
(e) Calculate the phase angle between the current and the source
voltage.
_______________°

A 24-mH inductor, an 8.1-Ω resistor, and a 5.9-V battery are
connected in series as in the figure below. The switch is closed at
t = 0. A circuit contains a battery, a switch, an inductor, and a
resistor. The circuit starts at the positive terminal of the
battery labeled emf ℰ, goes through the switch labeled S, goes
through the inductor labeled L, goes through the resistor labeled R
and ends at the negative terminal of the battery. (a) Find...

A 140-mH inductor and a 4.80-Ω
resistor are connected with a switch to a 6.00-V battery as shown
in the figure above.
(a) After the switch is first thrown to a (connecting
the battery), what time interval elapses before the current reaches
220 mA?
ms
(b) What is the current in the inductor 10.0 s after the switch is
closed?
A
(c) Now the switch is quickly thrown from a to b.
What time interval elapses before the current in...

An RLC series circuit has a 60 Ω resistor, a 3.5 mH inductor,
and a 6 μF capacitor.
Find the circuit’s impedance at 55 Hz and 12 kHz.
If the voltage source has Vrms = 110 V, what is
Irms at each frequency?

For the circuit 10 Vp AC with R=10 Ω, and L=8.2 mH (in series)
compute XL Z, iRMS, VR,
VL for different frequencies ranging from f=20 Hz to
f=100 Hz at 20 Hz intervals, and from then onwards, discrete values
f= 200, 500, 1000, 2000 and 5000 Hz. Plot frequency (x-axis,
logarithmic) vs. and frequency (x-axis, logarithmic). What happens
to the circuit as frequency increases (which component is taking
over?).

The voltage across an inductor is 65 V and has a frequency of
430 Hz. If the current in the inductor is 0.27 A, what is the value
of its inductance?

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