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Correct equation of speed-torque characteristic of DC shunt motor is____________

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Correct equation of speed-torque characteristic of DC shunt motor is____________

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This intriguing question originated from Operating Characteristics of DC Shunt Motor topic in section Characteristics of DC Motors of DC Machines

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Right choice is (a) [Vt / kΦ] – [Ra / kl Φ2] T

To elaborate: Speed-torque characteristic equation is obtained by n = (Vt -IaRa)/ kφ and Torque = k1φIa. Thus, by combining these equations and by assuming all constants equal to k and kl we get the final equation shown above.

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