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Chapter 32: 24 - Excercises And Problems (page 925)

FIGURE EX32.24
shows voltage and current graphs for an inductor.

a. What is the Emf frequency f?

b. What is the value of the inductance L ?

Short Answer

Expert verified

a. frequency, f is 50Hz

b.L=1.5915×10-3H

Step by step solution

01

part a) step 1: Given information

We need to find the Emf frequency f using the given graph

02

part a) step 2 : Detailed solution 

As we know,

Emf frequency is the number of oscillations of voltage in one second ,

f=1T=10.02⇒f=50Hz
03

part b)  step 1 : Given information 

We have to find out the inductance, L using the graph and given values

04

Detailed solution 

As we know that inductive reactance;

XL=VmaxImax=1V2A=0.5Ω⇒XL=ωL whereωis angular frequency of current

ω=2πf=2π×50=100π⇒L=XLω=0.5100π⇒L=1.5915×10-3H

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Most popular questions from this chapter

A 200 Ω resistor is connected to an AC source with ε0=10 V. What is the peak current through the resistor if the emf frequency is (a) 100 Hz? (b) 100 kHz?

For the circuit of figure Ex32.33,

a. What is the resonance frequency, in both rad/s and Hz?

b. Find VrandVcat resonance.

c. How canVcbe larger thanε0? Explain .

Commercial electricity is generated and transmitted as three-phase electricity. Instead of a single emf, three separate wires carry currents for the emfs E1=E0cosvt,E2=E0cos1vt+120°,andE3=E0cos1vt-120°over three parallel wires, each of which supplies one-third of the power. This is why the long-distance transmission lines you see in the countryside have three wires. Suppose the transmission lines into a city supply a total of 450MWof electric power, a realistic value.

a. What would be the current in each wire if the transmission voltage were E0=120Vrms?

b. In fact, transformers are used to step the transmission-line voltage up to 500kVrms. What is the current in each wire?

c. Big transformers are expensive. Why does the electric company use step-up transformers?

The current lags the emf by 30° in a series RLC circuit with E0=10V and R=50Ω. What is the peak current through the circuit?

Figure shows voltage and current graphs for a resistor.

a. What is the emf frequency f?

b. What is the value of the resistance R?

c. Draw the resistor’s voltage and current phasors at t=15ms
See all solutions

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