A Maxwell Bridge can be used for the measurement of

Question

Examoogle · Accepted Answer

Low Q values

Explanation: The Maxwell Bridge is an AC bridge circuit specifically designed to measure unknown inductances by comparing them with a known variable standard capacitor. It is most effective for measuring inductors with low quality factor ($Q

Working Principle: The Maxwell Bridge employs a parallel combination of a resistor and a capacitor in one arm to balance an inductive coil in the opposite arm. Balance is achieved when the product of the impedances of the opposite arms is equal. Since the balance equations involve $Q = \frac{\omega L}{R}$, the bridge is balanced by varying the standard resistor and capacitor, making it suitable for coils where the resistance is significant relative to reactance.

Key Formulas: $Q = \frac{\omega L_1}{R_1} = \omega R_1 C_1$ — Quality factor of the inductor; $L_x = R_2 R_3 C_1$ — Unknown inductance balance equation; $R_x = \frac{R_2 R_3}{R_1}$ — Unknown resistance balance equation

Key Points: Used for measuring inductance in the range of $1; Independent of frequency, which reduces errors associated with harmonic components.; The standard capacitor is used instead of a standard inductor, which is more accurate and stable.; Not suitable for high Q-factor measurements ($Q > 10$).

Advantages: Independent of frequency during balance; Uses a standard capacitor which is better than a standard inductor; Simplified bridge equations for $L$ and $R$

Disadvantages: Limited to low Q coils ($1; Not suitable for very low Q ($Q; Requires a variable capacitor which can be expensive

Applications: Inductance measurement in audio frequency range; Measurement of unknown coils in medium to low Q applications

Additional Info: For high Q measurements ($Q > 10$), the Hay's Bridge is preferred.. Option A is incorrect because high Q coils require Hay's Bridge.. Option C is generally considered outside the practical range, as very low Q coils exhibit significant leakage.

Answer: D is correct — The Maxwell Bridge is primarily utilized for measuring coils with low quality factors (typically $1

Exam Tip: Remember: Mnemonic 'Maxwell-Low' vs 'Hay-High' to instantly identify the appropriate bridge for your Q-factor requirements in competitive exams.

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