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10 October, 18:21

If the resistance in a circuit connected to a constant current is halved, how is the voltage in the circuit affected? The voltage remains constant. The voltage is doubled. The voltage is reduced by a factor of 4. The voltage is reduced by a factor of 2. The voltage is quadrupled.

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  1. 10 October, 18:51
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    The voltage is reduced by a factor of 2.

    Explanation:

    According to the OHM's law, Voltage is directly proportional to the resistance keeping the current constant

    Voltage = Current * resistance

    V = I * R

    when I is constant, V ∝ R

    It can be seen that by keeping the current constant, as we halved the resistance, voltage will be halved.

    For Example

    Consider, I = 10 A R = 10Ω

    then V = I * R = 10 * 10 = 100 V

    Keeping current constant and by halving the resistance i. e R = 5Ω

    V = I * R = 10 * 5 = 50 V

    Hence, resistance in a circuit is halved, Voltage will be halved.
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