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If the ac peak current through a 100 ohm resistor is 1.7 A, the average power dissipated by the resistance is

Respuesta :

Answer:

The average power dissipated by the resistance is 144.5 W.

Explanation:

Given;

peak current of the AC = I₀ = 1.7 A

resistance, R = 100 ohm

The root mean square current is given by;

[tex]I_{rms} = 0.7071 \ I_o\\\\I_{rms} = 0.7071 * 1.7\\\\I_{rms} = 1.2021 \ A[/tex]

The average power dissipated by the resistance is given by;

[tex]P_{avg} = I_{rms}^2R\\\\P_{avg} = (1.2021)^2(100)\\\\P_{avg} =144.5 \ W[/tex]

Therefore, the average power dissipated by the resistance is 144.5 W.