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Create assignment, 85707, Homework 19, Oct 10 at ... - Web Physics

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<strong>Cre<strong>at</strong>e</strong> <strong>assignment</strong>, <strong>85707</strong>, <strong>Homework</strong> <strong>19</strong>, <strong>Oct</strong> <strong>10</strong> <strong>at</strong> <strong>10</strong>:03 am 1<br />

This print-out should have 13 questions.<br />

Multiple-choice questions may continue on<br />

the next column or page – find all choices<br />

before answering. The due time is Central<br />

time.<br />

Please notice th<strong>at</strong> for your homework to be<br />

considered towards your grade, it needs to be<br />

submitted one hour before the corresponding<br />

recit<strong>at</strong>ion starts. Work submitted after this<br />

time, but before the DUE DATE on top of<br />

this page, will be accepted but not graded.<br />

PLEASE REMEMBER THAT YOU<br />

MUST CARRY OUT YOUR CALCULA-<br />

TIONS TO AT LEAST THREE SIGNIFI-<br />

CANT FIGURES. YOUR ANSWER MUST<br />

BE WITHIN ONE PERCENT OF THE<br />

CORRECT RESULT TO BE MARKED AS<br />

CORRECT BY THE SERVER.<br />

Resistance of Light Bulb<br />

33:09, trigonometry, numeric, > 1 min, normal.<br />

001<br />

A lightbulb is connected to a 60 Hz power<br />

source having a maximum voltage of 170 V.<br />

Wh<strong>at</strong> is the resistance of the light bulb th<strong>at</strong><br />

uses an average power of 75 W? Answer in<br />

units of Ω.<br />

Changing the Frequency<br />

33:04, trigonometry, numeric, > 1 min, normal.<br />

002<br />

When a particular inductor is connected to a<br />

sinusoidal voltage with a 120 V amplitude, a<br />

peak current of 3 A appears in the inductor.<br />

Wh<strong>at</strong> is the maximum current if the frequency<br />

of the applied voltage is doubled? Answer<br />

in units of A.<br />

003<br />

Wh<strong>at</strong> is the inductive reactance <strong>at</strong> the new<br />

frequency? Answer in units of Ω.<br />

Inductive Circuit<br />

33:04, trigonometry, numeric, > 1 min, normal.<br />

004<br />

In the purely inductive circuit in the figure<br />

below, the inductance is 25 mH and the rms<br />

voltage is 150 V.<br />

25 mH<br />

E rms = 150 V<br />

E = E max sin ωt<br />

Find the inductive reactance if the frequency<br />

is 60 Hz. Answer in units of Ω.<br />

005<br />

Find the rms current in the circuit. Answer<br />

in units of A.<br />

AC Gener<strong>at</strong>or 02<br />

33:05, trigonometry, numeric, > 1 min, normal.<br />

006<br />

A variable-frequency AC gener<strong>at</strong>or with maximum<br />

voltage 18 V is connected across a<br />

9.4 × <strong>10</strong> −8 F capacitor.<br />

At wh<strong>at</strong> frequency should the gener<strong>at</strong>or be<br />

oper<strong>at</strong>ed to provide a maximum current of<br />

5 A?<br />

Answer in units of Hz.<br />

Serway CP 21 08<br />

33:05, trigonometry, numeric, > 1 min, normal.<br />

007<br />

Wh<strong>at</strong> maximum current is delivered to a<br />

2.2 µF capacitor when connected across a<br />

North American outlet having rms voltage<br />

120 V and frequency 60 Hz? Answer in units<br />

of mA.<br />

008<br />

For the same capacitor, calcul<strong>at</strong>e the maximum<br />

current for a European outlet having<br />

rms voltage 240 V and frequency 50 Hz. Answer<br />

in units of mA.<br />

Impedance of RLC Circuit 01<br />

33:09, trigonometry, numeric, > 1 min, normal.<br />

009<br />

In a certain series RLC circuit, the rms cur-<br />

S


<strong>Cre<strong>at</strong>e</strong> <strong>assignment</strong>, <strong>85707</strong>, <strong>Homework</strong> <strong>19</strong>, <strong>Oct</strong> <strong>10</strong> <strong>at</strong> <strong>10</strong>:03 am 2<br />

rent is 9 A , the rms voltage is 180 V and the<br />

current leads the voltage by 37 ◦ .<br />

Wh<strong>at</strong> is the total resistance of the circuit?<br />

Answer in units of Ω.<br />

0<strong>10</strong><br />

Calcul<strong>at</strong>e the reactance (X L − X C ) of the<br />

circuit. Answer in units of Ω.<br />

Resonance of an AC Circuit 02<br />

33:<strong>10</strong>, trigonometry, numeric, > 1 min, normal.<br />

011<br />

An AC power supply with a maximum potential<br />

of <strong>10</strong>0 V is across a series RLC circuit,<br />

where the inductance is 20 mH, the capacitance<br />

is <strong>10</strong>0 nF, the resistance is 20 Ω.<br />

Find the resonant frequency. Answer in<br />

units of kHz.<br />

012<br />

Find the amplitude of the current <strong>at</strong> the resonant<br />

frequency. Answer in units of A.<br />

013<br />

Find the amplitude of the voltage across the<br />

inductor <strong>at</strong> resonance. Answer in units of V.

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