48.

(a) Since L

eq

= L

1

+ L

2

and C

eq

= C

1

+ C

2

+ C

3

for the circuit, the resonant frequency is

ω

=

1

2π

L

eq

C

eq

=

1

2π

(L

1

+ L

2

)(C

1

+ C

2

+ C

3

)

=

1

2π

(1.70

× 10

−3

H + 2.30

× 10

−3

H)(4.00

× 10

−6

F + 2.50

× 10

−6

F + 3.50

× 10

−6

F)

=

796 Hz .

(b) The resonant frequency does not depend on R so it will not change as R increases.

(c) Since ω

∝ (L

1

+ L

2

)

−1/2

, it will decrease as L

1

increases.

(d) Since ω

∝ C

−1/2

eq

and C

eq

decreases as C

3

is removed, ω will increase.

Document Outline

• Main Menu
• Chapter 1 Measurement
• Chapter 2 Motion Along a Straight Line
• Chapter 3 Vectors
• Chapter 4 Motion in Two and Three Dimensions
• Chapter 5 Force and Motion I
• Chapter 6 Force and Motion II
• Chapter 7 Kinetic Energy and Work
• Chapter 8 Potential Energy and Conservation of Energy
• Chapter 9 Systems of Particles
• Chapter 10 Collisions
• Chapter 11 Rotation
• Chapter 12 Rolling, Torque, and Angular Momentum
• Chapter 13 Equilibrium and Elasticity
• Chapter 14 Gravitation
• Chapter 15 Fluids
• Chapter 16 Oscillations
• Chapter 17 Waves—I
• Chapter 18 Waves—II
• Chapter 19 Temperature, Heat, and the First Law of Thermodynamics
• Chapter 20 The Kinetic Theory of Gases
• Chapter 21 Entropy and the Second Law of Thermodynamics
• Chapter 22 Electric Charge
• Chapter 23 Electric Fields
• Chapter 24 Gauss’ Law
• Chapter 25 Electric Potential
• Chapter 26 Capacitance
• Chapter 27 Current and Resistance
• Chapter 28 Circuits
• Chapter 29 Magnetic Fields
• Chapter 30 Magnetic Fields Due to Currents
• Chapter 31 Induction and Inductance
• Chapter 32 Magnetism of Matter: Maxwell’s Equation
• Chapter 33 Electromagnetic Oscillations and Alternating Current
  • 33.1 - 33.10
    • 33.1
    • 33.2
    • 33.3
    • 33.4
    • 33.5
    • 33.6
    • 33.7
    • 33.8
    • 33.9
    • 33.10
  • 33.11 - 33.20
    • 33.11
    • 33.12
    • 33.13
    • 33.14
    • 33.15
    • 33.16
    • 33.17
    • 33.18
    • 33.19
    • 33.20
  • 33.21 - 33.30
    • 33.21
    • 33.22
    • 33.23
    • 33.24
    • 33.25
    • 33.26
    • 33.27
    • 33.28
    • 33.29
    • 33.30
  • 33.31 - 33.41
    • 33.31
    • 33.32
    • 33.33
    • 33.34
    • 33.35
    • 33.36
    • 33.37
    • 33.38
    • 33.39
    • 33.40
  • 33.41 - 33.50
    • 33.41
    • 33.42
    • 33.43
    • 33.44
    • 33.45
    • 33.46
    • 33.47
    • 33.48
    • 33.49
    • 33.50
  • 33.51 - 33.60
    • 33.51
    • 33.52
    • 33.53
    • 33.54
    • 33.55
    • 33.56
    • 33.57
    • 33.58
    • 33.59
    • 33.60
  • 33.61 - 33.70
    • 33.61
    • 33.62
    • 33.63
    • 33.64
    • 33.65
    • 33.66
    • 33.67
    • 33.68
    • 33.69
    • 33.70
  • 33.71 - 33.80
    • 33.71
    • 33.72
    • 33.73
    • 33.74
    • 33.75
    • 33.76
    • 33.77
    • 33.78
    • 33.79
    • 33.80
  • 33.81 - 33.90
    • 33.81
    • 33.82
    • 33.83
    • 33.84
    • 33.85
    • 33.86
    • 33.87
    • 33.88
    • 33.89
    • 33.90
  • 33.91 - 33.92
    • 33.91
    • 33.92
• Chapter 34 Electromagnetic Waves
• Chapter 35 Images
• Chapter 36 Interference
• Chapter 37 Diffraction
• Chapter 38 Special Theory of Relativity
• Chapter 39 Photons and Matter Waves
• Chapter 40 More About Matter Waves
• Chapter 41 All About Atoms
• Chapter 42 Conduction of Electricity in Solids
• Chapter 43 Nuclear Physics
• Chapter 44 Energy from the Nucleus
• Chapter 45 Quarks, Leptons, and the Big Bang