An electric circuit consists of a variable resistor connected to a source of constant potential difference. If the resistance of the resist

Question

An electric circuit consists of a variable resistor connected to a source of constant potential difference. If the resistance of the resistor is doubled, the current through the resistor is: a) halved doubled b) quartered c) quadrupled.

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Hải Đăng 5 months 2021-08-31T05:28:32+00:00 1 Answers 2 views 0

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    2021-08-31T05:29:46+00:00

    Answer:

    The correct option is a) halved

    Therefore,

    Current through the resistor will be halved i.e

    I'=\dfrac{1}{2}\times I

    Explanation:

    Given:

    V = Voltage potential Difference constant

    R’ = 2R

    To Find:

    Current, I’ = ? when R’ = 2R

    Solution:

    Ohm’s law:

    Ohm’s law states that the current through a conductor between two points is directly proportional to the voltage across the two points.

    Ohm’s law given as

    Voltage=Current\times Resistance\\V=IR

    I=\dfrac{V}{R}

    Substituting the R’ = 2R , new current we get

    I'=\dfrac{V}{R'}=\dfrac{V}{2R}=\dfrac{1}{2}\times \dfrac{V}{R}=\dfrac{1}{2}\times I

    Therefore,

    Current through the resistor will be halved i.e

    I'=\dfrac{1}{2}\times I

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )