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132 Fundamentals of radio antennas
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Distribution curves Voltage Movement of points of charge A T0 T I M E T1 225 225 T2 45 45 0 675 675 T4 90 90 T5 1125 1125 T6 135 135 T7 1575 1575 T8 180 180 0 0 0 0 0 0 0 0 0 0 0 0 0 C B 0 0 A B A Current B
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5-9 Voltage and current distribution in terms of positive and negative charges
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Antenna fundamentals 133
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Voltage A B A Current
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Movement of points of charge A T8 180 180 C B
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T I M E 0
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T9 2025 2025 T10 225 225 T11 2475 2475 T12 270 270 T13 2925 2925 T14 315 315 T15 3375 3375 T16 360 360
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5-10 Voltage and current distribution in terms of positive and negative charges
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134 Fundamentals of radio antennas T5 The separation of the charges also is accompanied by a decrease in the amplitude of the current loop From T5 to T8, the charges move out to the ends of the antenna During this time, the voltage loops increase and the current loops decrease in amplitude At time T8, which occurs 180 after T0 in the RF cycle, the charges have moved to opposite ends of the antenna Compare the picture in T0 to the picture in T8 It is seen that the negative charge is now at point A and the positive charge at point B Because the positions of the charges have been reversed from T0 to T8, the voltage loops in T8 are 180 out of phase, compared with the loops in T0 From T8 to T16 in Fig 5-10, the movement of the charges is shown in the opposite direction, the current loop reaching a maximum at T12 When the entire RF cycle is completed at time T16, the charges have returned to the positions that they occupied at T0 The distribution curves of voltage and current also are in their original conditions The entire process then is repeated for each RF cycle Standing waves of voltage and current The distribution curves of the current and voltage are standing waves This means that they are the resultants obtained by adding two traveling waves The two traveling waves are associated with the positive and negative charges The wave caused by the negative charge can be called the incident wave and the wave caused by the positive charge the reflected wave This, however, is clearer when the concept of negative and positive charges is used The positive charge, taken at time T0 in Fig 5-9, produces a traveling wave of voltage, shown by the dashed line in Fig 5-11A The negative charge at the opposite end of the antenna produces an identical traveling wave (dash-dot curve) These two add together to produce the T0 voltage distribution curve, which is the resultant wave of Fig 5-9A Both of these waveforms are identical, being the standing wave of voltage at time T0 All of the following distribution curves of Fig 5-11 are produced in the same manner They are the standing wave resultants caused by the traveling waves accompanying the charges In Fig 5-11B, each of the traveling waves has moved 45 , the positive traveling wave moving to the right and the negative traveling wave moving to the left This time corresponds to T2 in Fig 5-9 The standing wave produced corresponds to the voltage distribution curve at T2 The standing waves of current are produced in the same manner The current curves at D, E, and F of Fig 5-11 correspond to times T0, T2, and T4 of Fig 5-9 Standing waves of voltage In Fig 5-12A, voltage standing waves occurring at different times are brought together on one axis, AB, representing a half-wave antenna Essentially, these are the same curves shown progressively in Figs 5-9 and 5-10 as voltage distribution curves They can be used to determine the voltage at any point on the antenna, at any instant of time For example, if it is desired to know the variations of voltage occurring at point Y on the antenna over the RF cycle, the variations are graphed in respect to time, as shown in Fig 5-12B At T0, the voltage at Y is maximum From T0 through T3, the voltage decreases, passing through zero at T4 The voltage builds up to a maximum in the opposite direction at T8, returning through zero to its original position from T8 to T16 Between T0 and T16, therefore, an entire sine-wave cycle, Y, is reproduced This is also true of any other point on the antenna, with the exception of the node at X
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