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#1
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The fundamental partial differential equations of transmission lines
are - - dv/dz = R + L*di/dz - di/dz = G + C*dv/dz where volts v and current i are incremental functions of distance and time, and z is incremental distance along line. Everything else follows. Similar equations can be written in terms of frequency. It is often easier to think in terms of Time and Distance rather than Frequency and Impedance. ---- Reg. |
#2
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A correction - insert dt instead of dz.
The fundamental partial differential equations of transmission lines are - - dv/dz = R + L*di/dt - di/dz = G + C*dv/dt where volts v and current i are incremental functions of distance and time, and z is incremental distance along line. Everything else follows. Similar equations can be written in terms of frequency. It is often easier to think in terms of Time and Distance rather than Frequency and Impedance. ---- Reg. |
#3
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Reg Edwards wrote:
A correction - insert dt instead of dz. Another correction is in order. The resistive term should be i(z) * R and the conductance term should be v(z) * G. The fundamental partial differential equations of transmission lines are - - dv/dz = R + L*di/dt - di/dz = G + C*dv/dt where volts v and current i are incremental functions of distance and time, and z is incremental distance along line. bart |
#4
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Bart Rowlett wrote:
Reg Edwards wrote: A correction - insert dt instead of dz. Another correction is in order. The resistive term should be i(z) * R and the conductance term should be v(z) * G. The fundamental partial differential equations of transmission lines are - - dv/dz = R + L*di/dt - di/dz = G + C*dv/dt where volts v and current i are incremental functions of distance and time, and z is incremental distance along line. bart Good to know you're still lurking around here, Bart! Glad somebody still keeps track of units. ;-) 73, ac6xg |
#5
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Reg Edwards wrote:
A correction - insert dt instead of dz. Another correction is in order. The resistive term should be i(z) * R and the conductance term should be v(z) * G. The fundamental partial differential equations of transmission lines are - - dv/dz = R + L*di/dt - di/dz = G + C*dv/dt where volts v and current i are incremental functions of distance and time, and z is incremental distance along line. bart |
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