Compare the current in the 8-ohm resistors to the current in the 4-ohm resistors. Compare the current in the 3-ohm and 8-ohm res

Question

Compare the current in the 8-ohm resistors to the current in the 4-ohm resistors.

Compare the current in the 3-ohm and 8-ohm resistor to the current in the 10-ohm resistor

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niczorrrr 4 years 2021-07-25T18:25:43+00:00 1 Answers 20 views 0

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  1. diemthu
    0
    2021-07-25T18:27:16+00:00
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    Answer:

    a)   i₈ = 0.5 i₄,  b)   i₁₀ = 0.3 i₃,    i₁₀ = 0.8 i₈

    Explanation:

    For this exercise we use ohm’s law

           V = i R

            i = V / R

    we assume that the applied voltage is the same in all cases

    let’s find the current for each resistance

             

    R = 4 Ω

             i₄ = V / 4

    R = 8 Ω

             i₈ = V / 8

    we look for the relationship between these two currents

             i₈ /i₄ = 4/8 = ½

             i₈ = 0.5 i₄

    R = 3 Ω

            i₃ = V3

    R = 10 Ω

             

            i₁₀ = V / 10

       

    we look for relationships

           i₁₀ / 1₃ = 3/10

           i₁₀ = 0.3 i₃

           i₁₀ / 1₈ = 8/10

           i₁₀ = 0.8 i₈

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