Assertion–Reason (connection choice for wattmeter on low-impedance loads): Decide the truth of the following statements. Assertion (A): For low-impedance loads, the wattmeter pressure (voltage) coil is connected directly across the load. Reason (R): A wattmeter measures apparent power.
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ABoth A and R are true and R is the correct explanation of A
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BBoth A and R are true but R is not the correct explanation of A
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CA is true R is false
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DA is false R is true
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EBoth A and R are false
Answer
Correct Answer: A is true R is false
Explanation
Introduction / Context:There are two practical connection schemes for a dynamometer wattmeter—voltage coil on the load side or on the supply side of the current coil. The choice is made to minimize measurement error for particular load conditions.
Given Data / Assumptions:
- Low-impedance load implies high current and relatively low voltage drop across the load.
- The current coil has a small but non-negligible resistance causing a voltage drop.
- We seek to minimize errors due to including the current-coil drop in the measured voltage.
Concept / Approach:
For low-impedance (high-current) loads, connecting the pressure coil across the load avoids adding the current-coil voltage drop to the measured voltage. This reduces error. Separately, a wattmeter measures true power, not apparent power; its indication is P = V_rms * I_rms * cosφ, not V_rms * I_rms.
Step-by-Step Solution:
Assess Assertion: Correct—pressure coil across the load minimizes error from current-coil drop.Assess Reason: Incorrect—a wattmeter measures average (real) power, not apparent power.Therefore: A is true and R is false.Verification / Alternative check:
Textbook connection rules: for low-impedance loads use “load-side” connection; for high-impedance/low-current loads the supply-side connection can be preferable to reduce current drawn by the pressure coil through the current coil branch.
Why Other Options Are Wrong:
- Any option implying R is true misstates the wattmeter function.
- Options making A false contradict standard practical guidance.
Common Pitfalls:
- Confusing real and apparent power; the wattmeter does not show V*A.
- Assuming one connection suits all loads; connection choice depends on load impedance.
Final Answer:
A is true R is false