Chapter 19

Find the actual power produced by a generating station that produces \(12,600 \mathrm{kVA}\) with a power factor of \(0.850\).

Find the resonant frequency in each ac circuit. \(L=1.00 \mu \mathrm{H}\) and \(C=4.00 \mu \mathrm{F}\)

For an ac circuit with \(R=1.00 \mathrm{k} \Omega, C=1.00 \mu \mathrm{F}, E=10 \overline{0} \mathrm{~V}\), and \(f=10 \overline{0} \mathrm{~Hz}:\) (a) find the impedance (in ohms), (b) find the phase angle, and (c) find the current.

Find the capacitive reactance (in ohms) in each ac circuit. \(C=20.0 \mu \mathrm{F}, f=1.00 \mathrm{kHz}\)

For a circuit with \(R=20 \overline{0} \Omega, L=10.0 \mathrm{mH}\), and \(f=1.25 \mathrm{kHz}\) : (a) find the impedance (in ohms), (b) find the phase angle, and (c) find the current if the voltage is \(45.0 \mathrm{~V}\).

Find the inductive reactance (in ohms) of each inductance at the given frequency. \(L=3.00 \mathrm{mH}, f=60.0 \mathrm{~Hz}\)

A soldering iron is rated at \(35 \overline{0} \mathrm{~W}\). If the current in the iron is \(4.00 \mathrm{~A}\), what is the resistance of the iron?

What is the maximum voltage in an ac circuit in which the instantaneous voltage at \(\theta=35.0^{\circ}\) is \(27.0 \mathrm{~V}\) ?

A generating station operates with a power factor of \(0.910\). What actual power is available on the transmission lines if the apparent power is \(12,800 \mathrm{kVA}\) ?

Find the resonant frequency in each ac circuit. \(L=2.00 \mu \mathrm{H}\) and \(C=35.0 \mu \mathrm{F}\)

Find the impedance and current in each ac circuit. \(R=225 \Omega, L=10.0 \mathrm{mH}, C=0.200 \mu \mathrm{F}, f=1.00 \mathrm{kHz}, E=15.0 \mathrm{~V}\)

For an ac circuit with \(R=375 \Omega, C=5.00 \mu \mathrm{F}, E=20.0 \mathrm{~V}\), and \(f=1.00 \mathrm{kHz}\) : (a) find the impedance (in ohms), (b) find the phase angle, and (c) find the current.

Find the capacitive reactance (in ohms) in each ac circuit. \(C=7.00 \mathrm{mF}, f=10 \overline{0} \mathrm{~Hz}\)

Find the inductive reactance (in ohms) of each inductance at the given frequency. \(L=20.0 \mathrm{mH}, f=75.0 \mathrm{~Hz}\)

What power is developed by a device that draws \(6.00 \mathrm{~A}\) with resistance \(12.0 \Omega ?\)

Find the apparent power produced by a generating station whose actual power is \(12 \overline{0}, 000 \mathrm{~kW}\) and whose power factor is \(0.900\).

Find the resonant frequency in each ac circuit. \(L=2.50 \mu \mathrm{H}\) and \(C=7.00 \mu \mathrm{F}\)

For an ac circuit with \(R=4.80 \mathrm{k} \Omega, C=45.0 \mu \mathrm{F}, E=15.0 \mathrm{~V}\), and \(f=1.75 \mathrm{kHz}\) : (a) find the impedance (in ohms), (b) find the phase angle, and (c) find the current.

Find the capacitive reactance (in ohms) in each ac circuit. \(C=0.600 \mu \mathrm{F}, f=0.100 \mathrm{kHz}\)

For a circuit with \(R=1.00 \mathrm{k} \Omega, L=50.0 \mathrm{mH}\), and \(f=10.0 \mathrm{kHz}\) : (a) find the impedance (in ohms), (b) find the phase angle, and (c) find the current if the voltage is \(15.0 \mathrm{~V}\).

Find the inductive reactance (in ohms) of each inductance at the given frequency. \(L=70.0 \mathrm{mH}, f=10.0 \mathrm{kHz}\)

Find the output power of a transformer with output voltage \(50 \overline{0} \mathrm{~V}\) and current \(7.00 \mathrm{~A}\).

If the maximum ac voltage on a line is \(165 \mathrm{~V}\), what is the instantaneous voltage at \(\theta=45.0^{\circ}\) ?

Find the apparent power produced by a generating station whose actual power is \(1,9 \overline{0} 0,000 \mathrm{~kW}\) and whose power factor is \(0.800\).

Find the resonant frequency in each ac circuit. \(L=2.65 \mu \mathrm{H}\) and \(C=35.0 \mu \mathrm{F}\)

Find the impedance and current in each ac circuit. \(R=1.00 \mathrm{k} \Omega, L=0.700 \mathrm{H}, C=30.0 \mu \mathrm{F}, f=60.0 \mathrm{~Hz}, E=8.00 \mathrm{~V}\)

For an ac circuit with resistance \(145 \mathrm{~m} \Omega\), capacitance \(10.0 \mu \mathrm{F}\), frequency \(72.5 \mathrm{kHz}\), and \(E=7.00 \mathrm{mV}\) : (a) find the impedance (in ohms), (b) find the phase angle, and (c) find the current.

Find the capacitive reactance (in ohms) in each ac circuit. \(C=30.0 \mathrm{mF}, f=2.50 \mathrm{MHz}\)

For a circuit with resistance \(2.00 \mathrm{k} \Omega\), inductance \(70.0 \mathrm{mH}\), and frequency \(5.00 \mathrm{kHz}\) : (a) find the impedance (in ohms), (b) find the phase angle, and (c) find the current if the voltage is \(12.0 \mathrm{~V}\).

Find the inductive reactance (in ohms) of each inductance at the given frequency. \(L=8.00 \mathrm{mH}, f=8.00 \mathrm{kHz}\)

A heater operates on a \(11 \overline{0}\) - \(\mathrm{V}\) line and is rated at \(45 \overline{0} \mathrm{~W}\). What is the resistance of the element?

A generating station operates with a power factor of \(0.880 .\) What actual power is available on the transmission lines if the apparent power is \(11,500 \mathrm{kVA}\) ?

Find the resonant frequency in each ac circuit. \(L=42.5 \mu \mathrm{H}\) and \(C=40.0 \mu \mathrm{F}\)

A circuit contains a \(15 \overline{0}-\Omega\) resistance, a \(35.0-\mu \mathrm{F}\) capacitor, and a \(0.600-\mathrm{H}\) inductance in series with a \(6.00-\mathrm{V}, 12 \overline{0}\) - \(\mathrm{Hz}\) source. Find the impedance and the current.

For an ac circuit with resistance \(10.0 \mathrm{~m} \Omega\), capacitance \(5.00 \mu \mathrm{F}\), frequency \(10.0 \mathrm{kHz}\), and \(E=15.0 \mathrm{mV}\) : (a) find the impedance (in ohms), (b) find the phase angle, and (c) find the current.

Find the capacitive reactance (in ohms) in each ac circuit. \(C=0.800 \mu \mathrm{F}, f=0.250 \mathrm{MHz}\)

For a circuit with resistance \(30 \overline{0} \Omega\), inductance \(2.00 \mathrm{mH}\), and frequency \(3.00 \mathrm{kHz}\) : (a) find the impedance (in ohms), (b) find the phase angle, and (c) find the current if the voltage is \(6.00 \mathrm{~V}\).

What is the inductive reactance (in ohms) of a 425- \(\mu\) H inductance at a frequency of \(15.0 \mathrm{MHz}\) ?

A heating element draws \(6.00 \mathrm{~A}\) on a \(22 \overline{0}-\mathrm{V}\) line. What power is used in the element?

The instantaneous current in an ac circuit is \(6.50 \mathrm{~A}\) at \(\theta=45.0^{\circ} .\) Find the maximum current.

Find the apparent power produced by a generating station whose actual power is \(2,350,000 \mathrm{~kW}\) and whose power factor is \(0.850\).

Find the resonant frequency of a circuit containing a \(25.0-\mu \mathrm{F}\) capacitor in series with a \(75.0-\mu \mathrm{H}\) inductor.

A circuit contains a 225- \(\Omega\) resistance, a \(5.00-\mu \mathrm{F}\) capacitor, and a \(0.550-\mathrm{H}\) inductance in series with a \(7.50-\mathrm{V}, 60.0\) -Hz source. Find the impedance and the current.

Find the capacitive reactance of a \(15.0-\mu \mathrm{F}\) capacitor in a circuit of frequency \(60.0 \mathrm{~Hz}\).

Find the inductive reactance (in ohms) of a \(655-\mu \mathrm{H}\) inductance at a frequency of \(125 \mathrm{MHz}\)

A \(32.0-\Omega\) resistance coil uses \(375 \mathrm{~W}\) of power. What is the current in the coil?

Find the actual power produced by a generating station that produces \(23,800 \mathrm{kVA}\) with a power factor of \(0.810\).

Find the resonant frequency of a circuit containing a \(33.0-\mu \mathrm{F}\) capacitor in series with a \(43.5-\mu \mathrm{H}\) inductor.

A circuit contains a \(175-\Omega\) resistance, a \(4.50-\mu \mathrm{F}\) capacitor, and a \(0.735-\mathrm{H}\) inductance in series with a \(5.00-\mathrm{V}, 10 \overline{0}\) -Hz source. Find the impedance and the current.

Find the capacitive reactance of a \(45.0-\mu \mathrm{F}\) capacitor in a circuit of frequency \(60.0 \mathrm{kHz} .\)