---
title: "Calorimeter wattmeter and single bridge bolometer limits"
subject: "RF and Microwave Engineering"
chapter: 8
key: "semester_7/rf_and_microwave_engineering:calorimeter-wattmeter-bolometer-limits"
source: https://www.bctengineer.com/q/semester_7/rf_and_microwave_engineering/calorimeter-wattmeter-bolometer-limits
site: BCT Engineering
---

# Calorimeter wattmeter and single bridge bolometer limits

RF and Microwave Engineering · Chapter 8: RF and Microwave Measurements

- Asked in: 2080 Baisakh, 6+2 marks
- Video: [Bolometer | Power measurement |  Microwave Engineering | Lec-118](https://www.youtube.com/watch?v=kCT40ZZ3jd0) — Education 4u
- Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14
- Page: https://www.bctengineer.com/q/semester_7/rf_and_microwave_engineering/calorimeter-wattmeter-bolometer-limits
- Whole chapter: https://www.bctengineer.com/md/semester_7/rf_and_microwave_engineering/chapter-8

## Question

Explain power measurement using calorimeter wattmeter. What are the limitations of using single bridge bolometer?

## Short answer

A calorimeter wattmeter uses a flowing liquid through a matched RF load; temperature rise is balanced against a DC‑heated reference, so RF power equals known DC power (or P = ρ v c ΔT). Single‑bridge bolometer limitations: ambient drift, ~10 mW max, manual balancing, mismatch error, DC–RF substitution error, and only average power.

## Answer

A **calorimeter wattmeter** measures high microwave power (watts to kilowatts) by absorbing it in a fluid load and comparing the heating with a known low-frequency or DC power.

#### Calorimeter wattmeter
Most practical calorimeter wattmeters are **flow (circulating)** type with a **substitution balance**:

```text
            +------------+       +------------+
 oil/water->| RF load    |------>| Input head |--+
 stream     | (absorbs   |       | (temp.     |  |
            |  RF power) |       |  sensor)   |  |  bridge
            +------------+       +------------+  +--> null
            +------------+       +------------+  |  meter
 same    -> | DC/LF load |------>| Ref. head  |--+
 stream     | (heater)   |       | (temp.     |
            +------------+       |  sensor)   |
                                 +------------+
```

Working principle:
1. A liquid (water or oil) is pumped at a constant rate through the RF load, which is matched to the line and absorbs all the microwave power.
2. The liquid heats up; its temperature rise is sensed by a temperature-sensitive element (thermistor or thermocouple) in the **input head**.
3. A second, identical path has a **reference head** heated by a known DC or 60 Hz power.
4. Both heads form arms of a bridge. The DC power is adjusted until the bridge balances, meaning both streams have the same temperature rise.
5. Then RF power = known DC power, read on an ordinary wattmeter.

Without the reference, power can be found from the flow directly:

```text
P = ρ · v · c · ΔT
Water: P ≈ 4.187 · v(cm³/s) · ΔT  W
```

Features: wide range (10 mW to several kW), accuracy about ±1–5 %, broadband (load is well matched), but slow response and bulky (pump, plumbing).

#### Limitations of the single bridge bolometer
1. **Ambient temperature drift:** the bolometer also responds to room temperature, so zero drifts; there is no compensating element.
2. **Low power only:** limited to about 10 mW; higher power burns out the barretter or thermistor.
3. **Manual balancing:** each reading needs the DC to be adjusted by hand, so it is slow and not direct reading.
4. **Mismatch error:** bolometer resistance changes with power, so the mount match and reflected power change.
5. **DC–RF substitution error:** RF and DC currents do not heat the element in exactly the same way (skin effect, current distribution).
6. **Average power only:** it cannot show pulse peak power directly.

## Check yourself

The answer's key points as multiple-choice questions, with the correct option and why.

1. In the calorimeter wattmeter, what does bridge balance mean?
   A. RF load and DC reference streams have the same temperature rise, so RF power = known DC power
   B. The flow rate is zero
   C. The reference head is cooled
   D. The RF load has zero resistance
   Answer: A. The DC heater is adjusted until both streams heat equally; then RF power equals the DC power read on a wattmeter. (Key point: Substitution balance)

2. Which describes the calorimeter wattmeter?
   A. Fast, for nanowatt levels
   B. Narrowband, accurate to 0.01 %
   C. Narrowband, for pulse peak power
   D. Broadband, 10 mW to kW, but slow and bulky
   Answer: D. The load is well matched so it is broadband and handles high power, but needs pump and plumbing and responds slowly. (Key point: Range of calorimeter wattmeter)

3. Why does a single bridge bolometer suffer zero drift?
   A. The bolometer also responds to room temperature and there is no compensating element
   B. The RF source frequency drifts
   C. The galvanometer is too sensitive
   D. The slotted line expands
   Answer: A. Without a compensating element, ambient changes alter the bolometer resistance and shift the zero. (Key point: Ambient drift limitation)

4. Why is a single bridge bolometer limited to about 10 mW?
   A. The bridge resistors are too small
   B. Higher power burns out the barretter or thermistor
   C. The DC supply cannot balance it
   D. It then measures voltage instead
   Answer: B. Higher power overheats and destroys the element; high power needs a calorimeter or coupler plus attenuator. (Key point: Power limit of bolometers)

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