GATE Exam  >  GATE Questions  >  Let ar, aφ and az be unit vectors along r... Start Learning for Free
Let ar, aφ and az be unit vectors along r , φ and z directions, respectively in the cylindrical coordinate system. For the electric flux density given by D = (ar15 + aφ2r – az3rz) Coulomb/m2, the total electric flux, in Coulomb, emanating from the volume enclosed by a solid cylinder of radius 3 m and height 5 m oriented along the z-axis with its base at the origin is:
  • a)
    108 π
  • b)
    54 π
  • c)
    90 π
  • d)
    180 π
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Let ar, aφ and az be unit vectors along r , φ and z directions...
ψ/Crossing closed surface =  ...(i)



= 45(10π) – 27 (10π) = 180πC
View all questions of this test
Most Upvoted Answer
Let ar, aφ and az be unit vectors along r , φ and z directions...
I'm sorry, your question seems to be incomplete. Can you please provide more information or clarify your query? Thank you.
Explore Courses for GATE exam

Similar GATE Doubts

Let ar, aφ and az be unit vectors along r , φ and z directions, respectively in the cylindrical coordinate system. For the electric flux density given by D = (ar15 + aφ2r – az3rz) Coulomb/m2, the total electric flux, in Coulomb, emanating from the volume enclosed by a solid cylinder of radius 3 m and height 5 m oriented along the z-axis with its base at the origin is:a)108 πb)54 πc)90 πd)180 πCorrect answer is option 'D'. Can you explain this answer?
Question Description
Let ar, aφ and az be unit vectors along r , φ and z directions, respectively in the cylindrical coordinate system. For the electric flux density given by D = (ar15 + aφ2r – az3rz) Coulomb/m2, the total electric flux, in Coulomb, emanating from the volume enclosed by a solid cylinder of radius 3 m and height 5 m oriented along the z-axis with its base at the origin is:a)108 πb)54 πc)90 πd)180 πCorrect answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Let ar, aφ and az be unit vectors along r , φ and z directions, respectively in the cylindrical coordinate system. For the electric flux density given by D = (ar15 + aφ2r – az3rz) Coulomb/m2, the total electric flux, in Coulomb, emanating from the volume enclosed by a solid cylinder of radius 3 m and height 5 m oriented along the z-axis with its base at the origin is:a)108 πb)54 πc)90 πd)180 πCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let ar, aφ and az be unit vectors along r , φ and z directions, respectively in the cylindrical coordinate system. For the electric flux density given by D = (ar15 + aφ2r – az3rz) Coulomb/m2, the total electric flux, in Coulomb, emanating from the volume enclosed by a solid cylinder of radius 3 m and height 5 m oriented along the z-axis with its base at the origin is:a)108 πb)54 πc)90 πd)180 πCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Let ar, aφ and az be unit vectors along r , φ and z directions, respectively in the cylindrical coordinate system. For the electric flux density given by D = (ar15 + aφ2r – az3rz) Coulomb/m2, the total electric flux, in Coulomb, emanating from the volume enclosed by a solid cylinder of radius 3 m and height 5 m oriented along the z-axis with its base at the origin is:a)108 πb)54 πc)90 πd)180 πCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of Let ar, aφ and az be unit vectors along r , φ and z directions, respectively in the cylindrical coordinate system. For the electric flux density given by D = (ar15 + aφ2r – az3rz) Coulomb/m2, the total electric flux, in Coulomb, emanating from the volume enclosed by a solid cylinder of radius 3 m and height 5 m oriented along the z-axis with its base at the origin is:a)108 πb)54 πc)90 πd)180 πCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let ar, aφ and az be unit vectors along r , φ and z directions, respectively in the cylindrical coordinate system. For the electric flux density given by D = (ar15 + aφ2r – az3rz) Coulomb/m2, the total electric flux, in Coulomb, emanating from the volume enclosed by a solid cylinder of radius 3 m and height 5 m oriented along the z-axis with its base at the origin is:a)108 πb)54 πc)90 πd)180 πCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Let ar, aφ and az be unit vectors along r , φ and z directions, respectively in the cylindrical coordinate system. For the electric flux density given by D = (ar15 + aφ2r – az3rz) Coulomb/m2, the total electric flux, in Coulomb, emanating from the volume enclosed by a solid cylinder of radius 3 m and height 5 m oriented along the z-axis with its base at the origin is:a)108 πb)54 πc)90 πd)180 πCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Let ar, aφ and az be unit vectors along r , φ and z directions, respectively in the cylindrical coordinate system. For the electric flux density given by D = (ar15 + aφ2r – az3rz) Coulomb/m2, the total electric flux, in Coulomb, emanating from the volume enclosed by a solid cylinder of radius 3 m and height 5 m oriented along the z-axis with its base at the origin is:a)108 πb)54 πc)90 πd)180 πCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let ar, aφ and az be unit vectors along r , φ and z directions, respectively in the cylindrical coordinate system. For the electric flux density given by D = (ar15 + aφ2r – az3rz) Coulomb/m2, the total electric flux, in Coulomb, emanating from the volume enclosed by a solid cylinder of radius 3 m and height 5 m oriented along the z-axis with its base at the origin is:a)108 πb)54 πc)90 πd)180 πCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice GATE tests.
Explore Courses for GATE exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev