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Electronic circuits and components * Course Index * Introduction * About the Author * About this Course * Feedback * Course Navigation * How to use this Course * TINA * Locktronics

Fundamentals * Introduction: Fundamentals * Units and Multiples * Electricity * Electronic Principles * Electrical Circuits * Alternating Current ## Alternating Voltage and Current ## Waveforms and Signals ## Amplitude and Frequency ## Examples: Amplitude and Frequency ## Measuring Angles ## Radians ##

Examples: Radians ## Average Peak and RMS Values ## Reactance ## Capacitive Reactance ## Worksheet: Capacitive Reactance ## Inductive Reactance ## Worksheet: Inductive Reactance ## Impedance ## Worksheet: Impedance * Assessment: Fundamentals

Passive Components * Introduction: Passive Components * Resistors * Capacitors * Inductors * Transformers * Batteries, Fuses, Lamps and Switches * Assessment: Passive Components

Semiconductors * Introduction: Semiconductors * Diodes * Transistors * Logic Gates * Assessment: Semiconductors

Passive Circuits * Introduction: Passive Circuits * Series and Parallel Connections * Kirchoff's Laws * Potential and Current Dividers * Passive Time Variant Circuits * Assessment: Passive Circuits

Active Circuits * Introduction: Active Circuits * Power Supply Circuits * Operational Amplifier Circuits * Transistor Amplifier Circuits * 555 Timer Circuits * Assessment: Active Circuits

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Examples: Radians

<^< Radians | Course Index | Average Peak and RMS Values >^>(:nl:)

>>frame round<< Example 1:

The rotating armature in a generator turns through a quarter of a cycle.

Express this in terms of (a) degrees and (b) radians. >><<

>>id=example1 class=question margin=10px frame round<< (a) There are 360° in one complete cycle (i.e. one revolution). Hence there are 360/4 or 90° in one quarter of a cycle.

(b) There are 2&#960; radians in one complete cycle (i.e. one revolution). Hence there are 2&#960;/4 or &#960;/2 radians in one quarter of a cycle >><<

>>frame round<< Example 2:

A robot arm turns through an angle of 215°.

What is this angle expressed in radians? >><<

>>id=example2 class=question margin=10px frame round<< To convert from degrees to radians, divide by 57.3.

Hence 215° is equivalent to 215/57.3 = 3.75 radians. >><<

>>frame round<< Example 3:

A satellite tracking antenna turns through an angle of 2.5 radians.

What is this angle expressed in degrees? >><<

>>id=example3 class=question margin=10px frame round<< To convert from radians to degrees, multiply by 57.3.

Hence 2.5 radians is equivalent to 2.5 x 57.3 = 143.25°. >><<(:nl:)(:table style="clear:both":)

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Page last modified on July 21, 2011, at 09:35 AM