Additional Problems

| 36 | When a resistor is connected across the terminals of an ac generator (112 V) that has a fixed frequency, there is a current of 0.500 A in the resistor. When an inductor is connected across the terminals of this same generator, there is a current of 0.400 A in the inductor. When both the resistor and the inductor are connected in series between the terminals of this generator, what is (a) the impedance of the series combination and (b) the phase angle between the current and the voltage of the generator?

| 37 | ssm A capacitor is attached to a 5.00-Hz generator. The instantaneous current is observed to reach a maximum value at a certain time. What is the least amount of time that passes before the instantaneous voltage across the capacitor reaches its maximum value?

| 38 | In a series circuit, a generator (1350 Hz, 15.0 V) is connected to a resistor, a capacitor, and a 5.30-mH inductor. Find the voltage across each circuit element.

| 39 | Multiple-Concept Example 3 reviews some of the concepts needed for this problem. An ac generator has a frequency of 4.80 kHz and produces a current of 0.0400 A in a series circuit that contains only a resistor and a capacitor. Obtain (a) the voltage of the generator and (b) the phase angle between the current and the voltage across the resistor/capacitor combination.

| 40 | The current in an inductor is 0.20 A, and the frequency is 750 Hz. If the inductance is 0.080 H, what is the voltage across the inductor?

| 41 | ssm www A capacitor is connected across a 60.0-Hz generator. An inductor is then connected in parallel with the capacitor. What is the value of the inductance if the rms currents in the inductor and capacitor are equal?

| 42 | A circuit consists of a resistor in series with an inductor and an ac generator that supplies a voltage of 115 V. The inductive reactance is , and the current in the circuit is 1.75 A. Find the average power delivered to the circuit.

* | 43 | ssm www A series RCL circuit contains a capacitor and a generator whose voltage is 11.0 V. At a resonant frequency of 1.30 kHz the power delivered to the circuit is 25.0 W. Find the values of (a) the inductance and (b) the resistance. (c) Calculate the power factor when the generator frequency is 2.31 kHz.

* | 44 | A series circuit contains only a resistor and an inductor. The voltage V of the generator is fixed. If and , find the frequency at which the current is one-half its value at zero frequency.

** | 45 | When the frequency is twice the resonant frequency, the impedance of a series RCL circuit is twice the value of the impedance at resonance. Obtain the ratios of the inductive and capacitive reactances to the resistance; that is, obtain (a) XL/R and (b) XC/R when the frequency is twice the resonant frequency.

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