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In the figure shown ABCDEFGH  is a square conducting frame of side 2m and  resistance 1Ω/m·A uniform magnetic field B  is applied perpendicular to the plane and pointing inwards. It increases with time at a constant rate of  10T/s. Find the rate at which heat in watt is produced in the circuit  AB = BC = CD = BH.
    Correct answer is '40'. Can you explain this answer?
    Verified Answer
    In the figure shownABCDEFGH is a square conducting frame of side2mand ...

    The induced emf in loop ABHFG 
    The induced emf in loop BCDH  and DEFH

    = 1 × 10 = 10 volt   KVL  in top left loop is
    = 1 × 10 = 10 volt
    10 – (y – z) + (x – y) - 2y = 0
    ⇒  x – 4y + z = – 10    ...(1)
    KVL in right loop : 10 – 2x – (x – y) – (x – z) = 0
    ⇒  –4x + y + z = –10    ...(2)
    By equation (1) and (2) it is seen that  x – y = 0  ⇒   no current in DH

    (This can also be seen by symmetry)
    This makes solution very simple now the circuit is,
    Assume  VB = 0, and  VF = V,  then 
     
    ⇒  V = 0   ⇒  no current in FB
    ∴  circuit is :

     
    ∴   rate of heat production = (40)2/8 = 200 Watt.
    Note : If you are not able to observe the symmetry or decide
    x – y = 0, then write KVL  in the lower loop. It will be  x + y – 6z = –20    ...(3)
    Solving (1), (2) and (3) you will get x = +5, y = 5, = 5A. Heat rate will be


    where 
    The correct answer is: 40
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    In the figure shownABCDEFGH is a square conducting frame of side2mand ...
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    In the figure shownABCDEFGH is a square conducting frame of side2mand resistance1Ω/m·Auniform magnetic fieldB is applied perpendicular to the plane and pointing inwards. It increases with time at a constant rate of10T/s. Find the rate at which heat in watt is produced in the circuitAB=BC=CD=BH.Correct answer is '40'. Can you explain this answer?
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    In the figure shownABCDEFGH is a square conducting frame of side2mand resistance1Ω/m·Auniform magnetic fieldB is applied perpendicular to the plane and pointing inwards. It increases with time at a constant rate of10T/s. Find the rate at which heat in watt is produced in the circuitAB=BC=CD=BH.Correct answer is '40'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about In the figure shownABCDEFGH is a square conducting frame of side2mand resistance1Ω/m·Auniform magnetic fieldB is applied perpendicular to the plane and pointing inwards. It increases with time at a constant rate of10T/s. Find the rate at which heat in watt is produced in the circuitAB=BC=CD=BH.Correct answer is '40'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure shownABCDEFGH is a square conducting frame of side2mand resistance1Ω/m·Auniform magnetic fieldB is applied perpendicular to the plane and pointing inwards. It increases with time at a constant rate of10T/s. Find the rate at which heat in watt is produced in the circuitAB=BC=CD=BH.Correct answer is '40'. Can you explain this answer?.
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