College

We appreciate your visit to A sinusoidal current is given in Amps RMS by the expression I t 7 5 cos 9865t 35 circ 1 What is the frequency f. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A sinusoidal current is given in Amps RMS by the expression:

\[ I(t) = 7.5 \cos(9865t + 35^\circ) \]

1. What is the frequency (f) in Hertz?

2. What is the maximum/peak current (Im) in Amps?

3. What is the phase angle (\(\Phi\)) in Radians?

4. What is the current at time \( t = 97.3 \) microseconds (\( I(0.0000973) \)) in Amps?

Answer :

Final answer:

1. The frequency of the sinusoidal current is approximately 1570 Hertz,

2. the maximum/peak current is 7.5 Amps, the phase angle is approximately 0.61 radians, and 3. the current at t = 97.3µs is calculated by substituting t with 4. 0.0000973 in the equation for I(t).

Explanation:

The expression given I(t) = 7.5 cos(9865t + 35o) is describing an oscillating or sinusoidal current. The information you're looking to find can be determined as follows:

  1. The frequency (f) in Hertz can be found by using the formula f = ω/2π, where ω (omega) is the angular frequency. In this case, ω = 9865. Thus, f = 9865 / (2π) = approximately 1570 Hz.
  2. The maximum or peak current (Im) is given by the amplitude of the sinusoid, which in this case is 7.5 Amps.
  3. The phase angle (Phi) in Radians is derived from the given degree value. In this case, it's 35°, which translates to an equivalent of 35*(π/180) = approximately 0.61 radians.
  4. The current at time t=97.3 micro-sec can be calculated by substituting t in the equation with 0.0000973, resulting in a value for I(t). I(0.0000973) = 7.5 cos(9865*0.0000973 + 35°).

Learn more about Sinusoidal Current here:

https://brainly.com/question/31987688

#SPJ11

Thanks for taking the time to read A sinusoidal current is given in Amps RMS by the expression I t 7 5 cos 9865t 35 circ 1 What is the frequency f. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada