Question

the voltage and current at the terminals of the element in (figure 1) are v=260cos800πtv,i=7sin800πta .

Answer 1

In an AC circuit, the voltage and current can be represented by sine functions with the same frequency but potentially different amplitudes and phase angles. To find the values of the current amplitude and phase angle, we can compare the given expressions for voltage and current and use the coefficients of the sine functions.

Step-by-step explanation:

In an AC circuit, the voltage and current are represented by sine functions with the same frequency but potentially different amplitudes and phase angles. In this example, the voltage is given by V = Vo sin(2πft), where Vo is the peak voltage and f is the frequency. The current is given by I = Io sin(2πft + φ), where Io is the peak current and φ is the phase angle. To find the values of Io and φ, we need to compare the given expressions for voltage and current.

1. Convert the given expressions for voltage and current to the standard form V = Vo sin(2πft) and I = Io sin(2πft + φ).
2. Compare the coefficients of sin(2πft) in the two equations to find the value of Io.
3. Compare the coefficients of sin(2πft + φ) in the two equations to find the value of φ.

Using these steps, we can determine the values of Io and φ, which will give the complete expression for the current.