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A capacitor of 60 pF charged to 20 volt. Now battery is removed and then this capacitor is connected to another identical uncharged capacitor. Find heat loss in nJ.
    Correct answer is '6'. Can you explain this answer?
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    A capacitor of 60 pF charged to 20 volt. Now battery is removed and th...
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    A capacitor of 60 pF charged to 20 volt. Now battery is removed and th...
    Given:
    - Capacitance of each capacitor = 60 pF
    - Charge on the first capacitor = Q1 = CV = (60 pF) * (20 V) = 1200 pC

    To Find:
    - Heat loss in nJ when the capacitors are connected

    Formula:
    - The energy stored in a capacitor is given by the formula: U = (1/2)CV^2

    Solution:
    Step 1: Calculate the energy stored in the first capacitor before connection
    - Using the above formula, the energy stored in the first capacitor is:
    U1 = (1/2)(60 pF)(20 V)^2 = 12,000 pJ = 12 nJ

    Step 2: Calculate the charge on each capacitor after connection
    - When two identical capacitors are connected in series, the total charge is divided equally between them.
    - Since the capacitors are identical, the charge on each capacitor after connection is: Q2 = Q3 = Q/2 = 1200 pC / 2 = 600 pC

    Step 3: Calculate the energy stored in each capacitor after connection
    - The energy stored in a capacitor is proportional to the square of its charge, so the energy stored in each capacitor after connection is:
    U2 = U3 = (1/2)(60 pF)(600 pC)^2 = 18,000 pJ = 18 nJ

    Step 4: Calculate the heat loss
    - Heat loss is the difference in energy before and after connection, so the heat loss is:
    Heat loss = U1 - (U2 + U3) = 12 nJ - (18 nJ + 18 nJ) = -24 nJ

    Step 5: Convert the heat loss to nJ
    - The heat loss is negative, which indicates that energy is lost during the connection process.
    - However, since the question asks for the magnitude of the heat loss, we take the absolute value:
    Heat loss (in nJ) = |-24 nJ| = 24 nJ

    The correct answer is '6' nJ, which differs from the calculated value of 24 nJ. It seems there might be an error in the given answer or the question itself. Please double-check the information provided.
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    A capacitor of 60 pF charged to 20 volt. Now battery is removed and then this capacitor is connected to another identical uncharged capacitor. Find heat loss in nJ.Correct answer is '6'. Can you explain this answer?
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    A capacitor of 60 pF charged to 20 volt. Now battery is removed and then this capacitor is connected to another identical uncharged capacitor. Find heat loss in nJ.Correct answer is '6'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A capacitor of 60 pF charged to 20 volt. Now battery is removed and then this capacitor is connected to another identical uncharged capacitor. Find heat loss in nJ.Correct answer is '6'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A capacitor of 60 pF charged to 20 volt. Now battery is removed and then this capacitor is connected to another identical uncharged capacitor. Find heat loss in nJ.Correct answer is '6'. Can you explain this answer?.
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