The magnetization curve of a shunt connected dc motor is linear and is given by ea=(82 v/a) if when measured at a speed of 1,710 rpm. the motor has ra = 9ω , radj = 6ω , and rf = 30ω. a voltage of vt = 97 v is applied to the motor. what is kϕ for the motor in wb?

K ∅ = 1.48 Wb

Explanation:

given data

EA=(82 V/A)

speed = 1,710 rpm

RA = 9Ω

Rad j = 6Ω

RF = 30Ω

voltage VT = 97 V

to find out

Kϕ for the motor in Wb

solution

first we get here shunt field current

shunt field current  =   ............1

shunt field current  =

shunt field current  IF = 3.233 A

and

now we get here induced emf for field current that is

induced emf = 82  IF

induced emf = 82 × 3.233

induced emf =  265.133 V

and induced emf EA is also express as

induced emf EA = K∅ω   .....................2

EA = K ∅ ×

put here value

265.133 = K ∅   ×

solve we get

K ∅ = 1.48 Wb

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explanation: