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10 December, 09:19

If the open circuit voltage of a circuit containing ideal sources and resistors is measured at 6 V, while the current through the short circuit across the circuit is 200 mA, what would be the power absorbed by an ideal current source, I_s = 100 mA, placed across the terminals?

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  1. 10 December, 11:55
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    Given Information:

    Current of Ideal source = Is = 100 mA = 0.100 A

    Open circuit voltage = Voc = 6 V

    Short circuit current = Isc = 200 mA = 0.200 A

    Required Information:

    Power absorbed by idea current source = ?

    Answer:

    Power absorbed by idea current source = 0.3 Watts

    Explanation:

    Ideal Current Source:

    An ideal current source doesn't have internal resistance and provides constant current regardless of the voltage supplied to the circuit.

    The power absorbed by the ideal source can be found using

    P = Is²R

    Where Is is the ideal source current and R can be found using

    R = Voc/Isc

    Where Voc is the open circuit voltage and Isc is the short circuit current.

    R = 6/0.200

    R = 30 Ω

    Therefore, the power absorbed by the ideal current source is

    P = Is²R

    P = (0.100) ²*30

    P = 0.3 Watts
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