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Example Question 1 A dynamometer-type AC ammeter made of moving coils and fixed coils with a shunt is used to measure current. The ammeter is designed to let 95% of the input current flow through the shunt resistor. The moving coil's resistance is 10 Q, and the shunt resistance is 0.004 Q. The Table Q1 below gives the relation between the deflection and the mutual inductance of the ammeter. Table Q1 Deflection 2.44 (radian) 1.57 1.83 2.09 (full- scale) 0.26 0.52 1.05 Mutual -325 -260 -180 180 263 325 373 Inductance (µH) If the input current that gives the full-scale deflection is = 6.7A, determine the following: (i) (ii) (iii) the current passing through the moving coil at full-scale deflection, the deflecting torque that gives full-scale deflection, the current passing through the fixed coil at half-scale deflection. (Hint: Plot the Mutual Inductance vs. Deflection graph based on the table above. Then, use the graph to solve parts (ii) and (iii))

Example Question 1 A dynamometer-type AC ammeter made of moving coils and fixed coils with a shunt is used to measure current. The ammeter is designed to let 95% of the input current flow through the shunt resistor. The moving coil's resistance is 10 Q, and the shunt resistance is 0.004 Q. The Table Q1 below gives the relation between the deflection and the mutual inductance of the ammeter. Table Q1 Deflection 2.44 (radian) 1.57 1.83 2.09 (full- scale) 0.26 0.52 1.05 Mutual -325 -260 -180 180 263 325 373 Inductance (µH) If the input current that gives the full-scale deflection is = 6.7A, determine the following: (i) (ii) (iii) the current passing through the moving coil at full-scale deflection, the deflecting torque that gives full-scale deflection, the current passing through the fixed coil at half-scale deflection. (Hint: Plot the Mutual Inductance vs. Deflection graph based on the table above. Then, use the graph to solve parts (ii) and (iii))

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Please include the graph for the calculations.

Example Question 1 A dynamometer-type AC ammeter made of moving coils and fixed coils with a shunt is used to measure current. The ammeter is designed to let 95% of the input curent flow through the shunt resistor. The moving coil's resistance is 10 2, and the shunt resistance is 0.004 2. The Table Q1 below gives the relation between the deflection and the mutual inductance of the ammeter. Table Q1 Deflection 2.44 (radian) (full- scale) 0.26 0.52 1.05 1.57 1.83 2.09 Mutual Inductance -325 -260 -180 180 263 325 373 (µH) If the input current that gives the full-scale deflection is = 6.7A, determine the following: (i) (ii) (iii) the current passing through the moving coil at full-scale deflection, the deflecting torque that gives full-scale deflection, the current passing through the fixed coil at half-scale deflection. (Hint: Plot the Mutual Inductance vs. Deflection graph based on the table above. Then, use the graph to solve parts (ii) and (iii))
Transcribed Image Text:Example Question 1 A dynamometer-type AC ammeter made of moving coils and fixed coils with a shunt is used to measure current. The ammeter is designed to let 95% of the input curent flow through the shunt resistor. The moving coil's resistance is 10 2, and the shunt resistance is 0.004 2. The Table Q1 below gives the relation between the deflection and the mutual inductance of the ammeter. Table Q1 Deflection 2.44 (radian) (full- scale) 0.26 0.52 1.05 1.57 1.83 2.09 Mutual Inductance -325 -260 -180 180 263 325 373 (µH) If the input current that gives the full-scale deflection is = 6.7A, determine the following: (i) (ii) (iii) the current passing through the moving coil at full-scale deflection, the deflecting torque that gives full-scale deflection, the current passing through the fixed coil at half-scale deflection. (Hint: Plot the Mutual Inductance vs. Deflection graph based on the table above. Then, use the graph to solve parts (ii) and (iii))
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