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30 January, 05:41

Jack measured 1 amp as the total current in a certain circuit when he applied 20 volts to the circuit. When he applied 60 volts, he got a measurement of 3 amps. Write a linear equation describing the relation between voltage and current, and calculate the total current when 50 volts are applied to the circuit.

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  1. 30 January, 06:07
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    The linear equation is V - IR = 0

    The total current is 2.5 amps

    Step-by-step explanation:

    According to ohms law, the voltage (V) applied is directly proportional to current (I)

    Therefore, V = IR

    V - IR = 0 (R is resistance)

    When V = 20, I = 1

    The 1st equation is 20 - R = 0

    When V = 60, I = 3

    The 2nd equation is 60 - 3R = 0

    From the 1st equation, R = 20

    Substiting R = 20, V = 50 into the linear relation V - IR = 0

    50 - 20I = 0

    50 = 20I

    I = 50/20 = 2.5 amps
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