- 2072 Magh · 10 marks
Device to measure 7.5 mW microwave power
Short answer
Use a thermistor mount with a self-balancing double bolometer bridge. RF heats the thermistor; DC bias is reduced to restore balance, and P_RF = (V_c² − V_rf²)/(4R). A diode sensor or calorimeter is unsuitable.
You are supposed to measure about 7.5 mW of microwave power. Choose a proper power measuring device and explain its working principle.
7.5 mW is a low microwave power:
P (dBm) = 10 log10(7.5 mW / 1 mW) = 8.75 dBm
This is inside the range of a thermistor (bolometer) power meter, about 1 µW–10 mW. A diode sensor is not suitable, because it is square law only below about −20 dBm, and a calorimeter is too slow and insensitive at mW level. So the proper device is a thermistor mount with a self-balancing (double) bolometer bridge – the DC substitution bolometer method.
Bolometer element
- Thermistor: semiconductor bead, negative temperature coefficient, robust – chosen here.
- Barretter: fine platinum wire, positive temperature coefficient, more delicate.
The thermistor sits in a matched waveguide/coax mount that absorbs all the incident power.
Basic bridge (DC substitution)
+---R1---+---R2---+
| | |
DC bias -+ G +-
| | |
+---R3---+--Rth---+
^ 7.5 mW RF
- With no RF, DC bias current I1 heats the thermistor until it reaches the balance resistance R (e.g. 200 Ω); G reads zero.
- RF power heats the thermistor more; R changes and the bridge unbalances.
- DC is reduced to I2 to restore balance. The thermistor is at the same temperature, so
P_RF = (I1² − I2²) · R
Practical self-balancing double bridge
To avoid drift with room temperature and manual balancing:
- Two matched thermistors share one thermal block. One gets RF (RF bridge), the other only sees ambient temperature (compensating bridge).
- Feedback amplifiers keep both bridges balanced automatically, with bridge voltages V_rf and V_c.
- The meter shows
P_RF = (V_c² − V_rf²) / (4R)
Temperature drift changes both channels equally and cancels.
Practical precautions for 7.5 mW
- Zero the meter with RF off.
- Use a well-matched mount (low VSWR) to avoid mismatch error, and apply the mount calibration factor.
- 7.5 mW is close to the 10 mW upper limit; if the level may rise, add a 10 dB attenuator (reading becomes 0.75 mW) and add 10 dB back.
✓ Answer checked by Claude Opus 5.5 (high effort)
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