Back(a) What is the rms current in a series LR circuit when a 60.0-Hz, 120-V rms ac voltage is applied, where R = 965 Ω and L = 255 mH? (b) What is the phase angle between voltage and current? (c) How much power is dissipated? (d) What are the rms voltage readings across R and L?
An inductance coil draws 2.2 A dc when connected to a 45-V battery. When connected to a 60.0-Hz 120-V (rms) source, the current drawn is 3.8 A (rms). Determine the inductance and resistance of the coil.
FIGURE CP32.68 shows voltage and current graphs for a series RLC circuit. What is the resistance R?
A series RLC circuit consists of a 75 Ω resistor, a 0.12 H inductor, and a 30 μF capacitor. It is attached to a 120 V/60 Hz power line. What is the peak current I?
A series RLC circuit consists of a 75 Ω resistor, a 0.12 H inductor, and a 30 μF capacitor. It is attached to a 120 V/60 Hz power line. What is the phase angle ϕ?
The tuning circuit in an FM radio receiver is a series RLC circuit with a 0.200 μH inductor. The receiver is tuned to a station at 104.3 MHz. What is the value of the capacitor in the tuning circuit?
An ac voltage source is connected in series with a 2.0-μF capacitor and a 750-Ω resistor. Using a digital ac voltmeter, the voltage source is measured to be 4.0 V rms, and the voltages across the resistor and across the capacitor are found to be 3.0 V rms and 2.7 V rms, respectively. Determine the frequency of the ac voltage source. Why is the voltage measured across the voltage source not equal to the sum of the voltages measured across the resistor and across the capacitor?
A series RLC circuit with ε0 = 10.0 V consists of a 1.0 Ω resistor, a 1.0 μH inductor, and a 1.0 μF capacitor. What is V1 at ω = ω0 and at ω = ω1?
An inductor L in series with a resistor R, driven by a sinusoidal voltage source, responds as described by the following differential equation: Show that a current of the form I = I0 sin (ωt - Φ) flows through the circuit by direct substitution into the differential equation. Determine the amplitude of the current (I0) and the phase difference Φ between the current and the voltage source.
For an underdamped LRC circuit, determine a formula for the energy U = UE + UB stored in the electric and magnetic fields as a function of time. Give answer in terms of the initial charge Qo on the capacitor. Show how dU/dt is related to the rate energy is transformed in the resistor, I2R.
An AC source operates at an RMS voltage of 70 V and a frequency of 85 Hz. If the source is connected in series to a 20 Ω resistor, a 0.15 H inductor and a 500 µF capacitor, answer the following questions:
a) What is the maximum current produced by the source?
b) What is the maximum voltage across the resistor?
c) What is the maximum voltage across the inductor?
d) What is the maximum voltage across the capacitor?
For the circuit of FIGURE EX32.32, Find VR and VL at resonance.
Prove that the energy dissipation is a maximum at ω = ω₀.