The active resistance of the coil is 4 ohms and the current strength is expressed by the formula i = 6.4sin (314t).

| July 18, 2021 | education

The active resistance of the coil is 4 ohms and the current strength is expressed by the formula i = 6.4sin (314t). Determine the power and the maximum value of the current in this circuit. What is the effective value of the current? What is the frequency of the current oscillation?

General equation for current strength: i = I max * sin (wt + phi0)

current equation given: i = 6.4 sin (314t)

maximum current strength: I max = 6.4 A (what is in front of the sine)
effective current: I rms = I max / √2 = 4.54 A
To find the power P, you need to multiply the resistance by the square of the effective current P = (4 * 4.54 * 4.54) = 82.44 W

cyclic frequency w = 314 (the number under the sign of the harmonic function)
w = 2pi * natural_frequency
own_frequency = w / 2pi = 314 / (2 * 3.14) = 50 Hz

Answer: P = 82.44 W, I max = 6.4 A, I rms = 4.54 A, frequency = 50 Hz.



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