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Two DC series motors connected in series draw current I from supply and run at speed N. When the same two-motor are connected in parallel, taking current I from the supply, the speed of each motor will be
- a)(N/2)
- b)N
- c)2N
- d)4N
Correct answer is option 'D'. Can you explain this answer?
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Solution:
When two DC series motors are connected in series:
- The voltage across each motor is half the supply voltage.
- The current through both motors is the same as the current drawn from the supply.
- The torque output of both motors adds up.
- The speed of both motors is the same, and it is denoted by N.
When the same two motors are connected in parallel:
- The voltage across each motor is the same as the supply voltage.
- The current through each motor is half the current drawn from the supply.
- The torque output of each motor is half of what it was in series connection.
- The speed of each motor increases.
To find the new speed, we can use the following formula:
(N2 / N1) = √(T2 / T1)
Where:
- N1 = Speed of motors in series connection = N
- N2 = Speed of motors in parallel connection (to be determined)
- T1 = Torque output of motors in series connection = T
- T2 = Torque output of motors in parallel connection = T/2 (since torque output is halved in parallel connection)
Substituting the given values, we get:
(N2 / N) = √(T/2T)
(N2 / N) = √(1/2)
N2 = N * √2
Therefore, the speed of each motor when they are connected in parallel is:
N2 = N * √2 = N * 1.414
Since there are two motors in parallel, the total speed of the system is:
Ntotal = N2 * 2 = N * 2.828
Therefore, the correct answer is option D, 4N.
When two DC series motors are connected in series:
- The voltage across each motor is half the supply voltage.
- The current through both motors is the same as the current drawn from the supply.
- The torque output of both motors adds up.
- The speed of both motors is the same, and it is denoted by N.
When the same two motors are connected in parallel:
- The voltage across each motor is the same as the supply voltage.
- The current through each motor is half the current drawn from the supply.
- The torque output of each motor is half of what it was in series connection.
- The speed of each motor increases.
To find the new speed, we can use the following formula:
(N2 / N1) = √(T2 / T1)
Where:
- N1 = Speed of motors in series connection = N
- N2 = Speed of motors in parallel connection (to be determined)
- T1 = Torque output of motors in series connection = T
- T2 = Torque output of motors in parallel connection = T/2 (since torque output is halved in parallel connection)
Substituting the given values, we get:
(N2 / N) = √(T/2T)
(N2 / N) = √(1/2)
N2 = N * √2
Therefore, the speed of each motor when they are connected in parallel is:
N2 = N * √2 = N * 1.414
Since there are two motors in parallel, the total speed of the system is:
Ntotal = N2 * 2 = N * 2.828
Therefore, the correct answer is option D, 4N.
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Two DC series motors connected in series draw current I from supply and run at speed N. When the same two-motor are connected in parallel, taking current I from the supply, the speed of each motor will bea)(N/2)b)Nc)2Nd)4NCorrect answer is option 'D'. Can you explain this answer?
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Two DC series motors connected in series draw current I from supply and run at speed N. When the same two-motor are connected in parallel, taking current I from the supply, the speed of each motor will bea)(N/2)b)Nc)2Nd)4NCorrect answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Two DC series motors connected in series draw current I from supply and run at speed N. When the same two-motor are connected in parallel, taking current I from the supply, the speed of each motor will bea)(N/2)b)Nc)2Nd)4NCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two DC series motors connected in series draw current I from supply and run at speed N. When the same two-motor are connected in parallel, taking current I from the supply, the speed of each motor will bea)(N/2)b)Nc)2Nd)4NCorrect answer is option 'D'. Can you explain this answer?.
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Two DC series motors connected in series draw current I from supply and run at speed N. When the same two-motor are connected in parallel, taking current I from the supply, the speed of each motor will bea)(N/2)b)Nc)2Nd)4NCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Two DC series motors connected in series draw current I from supply and run at speed N. When the same two-motor are connected in parallel, taking current I from the supply, the speed of each motor will bea)(N/2)b)Nc)2Nd)4NCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Two DC series motors connected in series draw current I from supply and run at speed N. When the same two-motor are connected in parallel, taking current I from the supply, the speed of each motor will bea)(N/2)b)Nc)2Nd)4NCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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