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Does the capacitance C of a capacitor in...

Does the capacitance C of a capacitor increase , decrease or remain the same (a) when the charge q on it is doubled and (b) when the potential difference V across it is tripled?

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To solve the question regarding the capacitance of a capacitor when the charge \( q \) is doubled and when the potential difference \( V \) is tripled, we will analyze each part step by step. ### Step-by-Step Solution: **Given:** - The formula for capacitance \( C \) is defined as: \[ C = \frac{q}{V} ...
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Knowledge Check

  • Find the work done (in J) when a charge of 20 C moves across a potential difference of 4 V.

    A
    5
    B
    40
    C
    80
    D
    10

  • Find the work done (in J) when a charge of 24 C moves across a potential difference of 6 V.

    A
    4
    B
    72
    C
    8
    D
    144

  • A 10V battery is connected to two capacitors C_1 and C_2 and a resistor R. When the capacitors are fully charged, then the potential difference across the resistor will be

    A
    10 V
    B
    5V
    C
    3.33 V
    D
    zero