Q.1- The water level, h (t), is controlled by an open-loop system as shown in figure below. A dc motor controlled by an armature current i turns a shaft ,opening a valve. The inductance of dc motor is negligible that is, L = 0.Also the rotation friction of the motor shaft and valve is negligible .That is,C=0, The height of the water in the tank is h(t) = [(1.60(1) -h(1))dt. The motor constant is K=10, the inertia of the motor shaft and valve is J=6x10³ Kg.m² and back e.m.f constant K, = 0.0706V/(rad/s). Determine i-The deferential equation for h(t) and V(t). ii-The transfer function H(s)/V(s).

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Q.1- The water level, h (t), is controlled by an open -loop system as shown
in figure below. A dc motor controlled by an armature current i turns a
shaft , opening a valve. The inductance of dc motor is negligible that is,
L = 0.Also the rotation friction of the motor shaft and valve is negligible
.That is,C=0,The height of the water in the tank is
h(t) = [(1.60(1) -h(t)) dt.
The motor constant is K=10, the inertia of the motor shaft and valve is
J=6x10³ Kg.m² and back e.m.f constant K, = 0.0706V/(rad/s).
Determine i-The deferential equation for h(t) and V(t). ii-The transfer
function H(s)/V(s).
Amplifier
10:41
4.-50
07
Valve
MD)
41)
Transcribed Image Text:Q.1- The water level, h (t), is controlled by an open -loop system as shown in figure below. A dc motor controlled by an armature current i turns a shaft , opening a valve. The inductance of dc motor is negligible that is, L = 0.Also the rotation friction of the motor shaft and valve is negligible .That is,C=0,The height of the water in the tank is h(t) = [(1.60(1) -h(t)) dt. The motor constant is K=10, the inertia of the motor shaft and valve is J=6x10³ Kg.m² and back e.m.f constant K, = 0.0706V/(rad/s). Determine i-The deferential equation for h(t) and V(t). ii-The transfer function H(s)/V(s). Amplifier 10:41 4.-50 07 Valve MD) 41)
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