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2. The ratio arms of the Kelvin bridge of Fig. 5-5 are 100 each. The galvanometer has an internal resistance of 500 2 and a current sensitivity of 200 mm/μA. The unknown resistance R, = 0.1002 2 and the standard resistance is set at 0.1000 . A dc current of 10 A is passed through the standard and the unknown from a 2.2- V battery in series with a rheostat. The resistance of the yoke may be neglected. Calculate (a) the deflection of the galvanometer, and (b) the resistance unbalance required to produce a galvanometer deflection of 1 mm.

2. The ratio arms of the Kelvin bridge of Fig. 5-5 are 100 each. The galvanometer has an internal resistance of 500 2 and a current sensitivity of 200 mm/μA. The unknown resistance R, = 0.1002 2 and the standard resistance is set at 0.1000 . A dc current of 10 A is passed through the standard and the unknown from a 2.2- V battery in series with a rheostat. The resistance of the yoke may be neglected. Calculate (a) the deflection of the galvanometer, and (b) the resistance unbalance required to produce a galvanometer deflection of 1 mm.

Electric Motor Control
Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter3: Magnetic Starters
Section: Chapter Questions
Problem 30SQ
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### Educational Website Content **Topic: Kelvin Bridge Circuit Analysis** **Problem Statement:** The ratio arms of the Kelvin bridge in Fig. 5-5 are 100 Ω each. The galvanometer has an internal resistance of 500 Ω and a current sensitivity of 200 mm/µA. The unknown resistance \( R_x = 0.1002 \, \text{Ω} \) and the standard resistance is set at \( 0.1000 \, \text{Ω} \). A DC current of 10 A is passed through the standard and the unknown from a 2.2-V battery in series with a rheostat. The resistance of the yoke may be neglected. Calculate (a) the deflection of the galvanometer, and (b) the resistance unbalance required to produce a galvanometer deflection of 1 mm. **Diagram Explanation:** - **Diagram Components:** - The diagram is a schematic representation of a Kelvin bridge circuit. - **E**: Power supply. - **G**: Galvanometer, used to detect the null point in the bridge. - **R₁, R₂, R₃, R₄**: Ratio arms of the bridge with \( R_1 = R_2 = 100 \, \text{Ω} \). - **Rx**: Unknown resistance set to \( 0.1002 \, \text{Ω} \). - **Ry**: Standard resistance set to \( 0.1000 \, \text{Ω} \). - **k, b, n, d, p, q**: Bridge nodes and connections. - **Operation:** - The bridge is used to measure very low resistances with high precision. - The balance condition (null point) occurs when the ratio \( R_1/R_2 = R_3/R_4 \). - **Analysis:** - (a) To calculate the deflection of the galvanometer, use the given current sensitivity and resistance values to find how the current imbalance translates to measurable deflection. - (b) Determine the resistance unbalance by calculating the difference between the standard and unknown resistance needed to cause a 1 mm deflection. **Further Application:** Understanding this type of bridge circuit is crucial in electrical engineering for accurate measurement of very low resistance values, important in applications such as cable testing
Transcribed Image Text:### Educational Website Content **Topic: Kelvin Bridge Circuit Analysis** **Problem Statement:** The ratio arms of the Kelvin bridge in Fig. 5-5 are 100 Ω each. The galvanometer has an internal resistance of 500 Ω and a current sensitivity of 200 mm/µA. The unknown resistance \( R_x = 0.1002 \, \text{Ω} \) and the standard resistance is set at \( 0.1000 \, \text{Ω} \). A DC current of 10 A is passed through the standard and the unknown from a 2.2-V battery in series with a rheostat. The resistance of the yoke may be neglected. Calculate (a) the deflection of the galvanometer, and (b) the resistance unbalance required to produce a galvanometer deflection of 1 mm. **Diagram Explanation:** - **Diagram Components:** - The diagram is a schematic representation of a Kelvin bridge circuit. - **E**: Power supply. - **G**: Galvanometer, used to detect the null point in the bridge. - **R₁, R₂, R₃, R₄**: Ratio arms of the bridge with \( R_1 = R_2 = 100 \, \text{Ω} \). - **Rx**: Unknown resistance set to \( 0.1002 \, \text{Ω} \). - **Ry**: Standard resistance set to \( 0.1000 \, \text{Ω} \). - **k, b, n, d, p, q**: Bridge nodes and connections. - **Operation:** - The bridge is used to measure very low resistances with high precision. - The balance condition (null point) occurs when the ratio \( R_1/R_2 = R_3/R_4 \). - **Analysis:** - (a) To calculate the deflection of the galvanometer, use the given current sensitivity and resistance values to find how the current imbalance translates to measurable deflection. - (b) Determine the resistance unbalance by calculating the difference between the standard and unknown resistance needed to cause a 1 mm deflection. **Further Application:** Understanding this type of bridge circuit is crucial in electrical engineering for accurate measurement of very low resistance values, important in applications such as cable testing
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