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Exercise:
An LC oscillator with capacitance CO has a frequency of fO. abcliste abc Calculate the inductance of the circuit. abc The inductance is increased by a factor of murO by roducing an iron core o the coil. How does this affect the oscillation frequency? abcliste

Solution:
abcliste abc The frequency is given by f fracpisqrtLC Solving for the inductance leads to L LF fracpi^timesf^timesC L approx resultLP- abc The frequency ratio is fracf'f sqrtfracLL' sqrtfracLmu_r L fracsqrtmu_r The new frequency is therefore f' fnewF fracfsqrtmur fnew approx resultfnewP abcliste
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Exercise:
An LC oscillator with capacitance CO has a frequency of fO. abcliste abc Calculate the inductance of the circuit. abc The inductance is increased by a factor of murO by roducing an iron core o the coil. How does this affect the oscillation frequency? abcliste

Solution:
abcliste abc The frequency is given by f fracpisqrtLC Solving for the inductance leads to L LF fracpi^timesf^timesC L approx resultLP- abc The frequency ratio is fracf'f sqrtfracLL' sqrtfracLmu_r L fracsqrtmu_r The new frequency is therefore f' fnewF fracfsqrtmur fnew approx resultfnewP abcliste
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Attributes & Decorations
Branches
Harmonic Oscillations
Tags
lc oscillator, simple harmonic motion
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Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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Decoration
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