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Chapter 32: Q. 6 (page 924)

A 200 鈩� resistor is connected to an AC source with $蔚_{0}$ =10 V. What is the peak current through the resistor if the emf frequency is (a) 100 Hz? (b) 100 kHz?

Short Answer

Expert verified

result is: $I_{o}$ =50mA

Step by step solution

01

Part(a) Step 1 : Given information

$R = 200 惟$

$蔚_{o} = 10 V$

Frequency =100Hz

02

Part (a) Step 2: Simplify

Peak current is given by $I = \frac{蔚_{o}}{R}$ ,does not depend upon frequency

$I_{o} = \frac{蔚_{o}}{R}$

$I_{o} = \frac{10 V}{200 惟}$

$I_{o} = 0.05 A 鈬� 50 mA$

03

Part(b) Step 1 : Given information

$R = 200 惟$

$蔚_{o} = 10 V$

Frequency=100 kHz

04

Part (b) Step 2: Simplify

Peak current is given by $I = \frac{蔚_{o}}{R^{}}$ ,does not depend upon frequency

$I_{0} = \frac{蔚_{o}}{R^{}}$

$I_{o} = \frac{10 V}{200 惟}$

$I_{o} = 0.05 A 鈬� 50 mA$

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Most popular questions from this chapter

What are $V_{R}$ and $V_{C}$ if the emf frequency in FIGURE is $10 kHz$ ?

Commercial electricity is generated and transmitted as three-phase electricity. Instead of a single emf $E = E_{0} \cos v t$ , three separate wires carry currents for the emfs $E_{1} = E_{0} \cos v t, E_{2} = E_{0} \cos 1 v t + 120 掳, a n d E_{3} = E_{0} \cos 1 v t - 120 掳$ . This is why the long-distance transmission lines you see in the countryside have three parallel wires, as do many distribution lines within a city.

a. Draw a phasor diagram showing phasors for all three phases of a three-phase emf.

b. Show that the sum of the three phases is zero, producing what is referred to as neutral. In single-phase electricity, provided by the familiar electric outlets in your home, one side of the outlet is neutral, as established at a nearby electrical substation. The other, called the hot side, is one of the three phases. (The round opening is connected to ground.)

c. Show that the potential difference between any two of the phases has the rms value where is the familiar single-phase rms voltage. Evaluate this potential difference for . Some high-power home appliances, especially electric clothes dryers and hot-water heaters, are designed to operate between two of the phases rather than between one phase and neutral. Heavy-duty industrial motors are designed to operate from all three phases, but full three-phase power is rare in residential or office use.

Use a phasor diagram to analyze the RL circuit of FIGURE P $32.49$ . In particular,

a. Find expressions for $I, V_{R} a n d V_{L}$ .

b. What is VR in the limits $蝇鈫� 0$ and $蝇鈫� 鈭�$ ?

c. If the output is taken from the resistor, is this a low-pass or a high-pass filter? Explain.

d. Find an expression for the crossover frequency $蝇_{C}$ .

A series RLC circuit with a $100 惟$ resistor dissipates $80 W$ when attached to a $120 V / 60 H z$ power line. What is the power factor?

$F I G U R E E X 32.9$ shows voltage and current graphs for a capacitor.

a. What is the emf frequency $f$ ?

b. What is the value of the capacitance $C$ ?

See all solutions

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