Use the figure below. A coil with four (4) turns is wound around a closed core with cross-sectional area of 30cm², relative permeability of 1200, and a mean path length of 50 cm. A magnetic sensor module of negligible thickness is installed within the core; this module has a transfer equation V1=50+0.2, where is the flux in Wb and V1 is in volts. Neglect fringing and saturation effects. Core flux $ sensor + V₁ - Ax + B + V₂ 1. Find the sensor output voltage V1 when 60 A DC is passing through the input coil. Express your answer in mV up to 3 decimal places. 2. Find the constant A and B such that a 1 A DC input will yield V2=10mV while a 400 A DC input will yield V2=10V. Give your answer up to 3 decimal places. 3. A 500-A 50-Hz sinusoidal current is passing through the input coil. Find the reactive power consumed, in kVAR up to 3 decimal places.

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Use the figure below. A coil with four (4) turns is wound around a closed core with cross-sectional
area of 30cm², relative permeability of 1200, and a mean path length of 50 cm. A magnetic sensor
module of negligible thickness is installed within the core; this module has a transfer equation
V1=50+0.2, where is the flux in Wb and V1 is in volts. Neglect fringing and saturation effects.
Core
flux
Ф
sensor
+
V₁
Ax + B
+
V₂
1. Find the sensor output voltage V1 when 60 A DC is passing through the input coil. Express
your answer in mV up to 3 decimal places.
2. Find the constant A and B such that a 1 A DC input will yield V2=10mV while a 400 A DC
input will yield V2=10V. Give your answer up to 3 decimal places.
3.
A 500-A 50-Hz sinusoidal current is passing through the input coil. Find the reactive power
consumed, in kVAR up to 3 decimal places.
Transcribed Image Text:Use the figure below. A coil with four (4) turns is wound around a closed core with cross-sectional area of 30cm², relative permeability of 1200, and a mean path length of 50 cm. A magnetic sensor module of negligible thickness is installed within the core; this module has a transfer equation V1=50+0.2, where is the flux in Wb and V1 is in volts. Neglect fringing and saturation effects. Core flux Ф sensor + V₁ Ax + B + V₂ 1. Find the sensor output voltage V1 when 60 A DC is passing through the input coil. Express your answer in mV up to 3 decimal places. 2. Find the constant A and B such that a 1 A DC input will yield V2=10mV while a 400 A DC input will yield V2=10V. Give your answer up to 3 decimal places. 3. A 500-A 50-Hz sinusoidal current is passing through the input coil. Find the reactive power consumed, in kVAR up to 3 decimal places.
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