Question

The instantaneous voltage across a circuit element is v(t)=350sin(ωt+50ᵒ) volts, and the instantaneous current entering the positive terminal of the circuit element is i(t)=140cos(ωt+35ᵒ ) A. For both the current and voltage, determine the maximum value,

Answer 1

The maximum voltage and current of an AC circuit are given by the coefficients of the sine and cosine functions, resulting in a peak voltage of 350 volts and a peak current of 140 A.

Step-by-step explanation:

The student has provided two equations representing the instantaneous voltage and current for an AC circuit. The maximum value, or peak value, of the voltage and current are indicated by the coefficients of the sine and cosine functions in their respective equations. For voltage v(t)=350sin(ωt+50°), the maximum or peak voltage (Vmax) is simply the coefficient in front of the sine function, which is 350 volts. Similarly, for current i(t)=140cos(ωt+35°), the maximum or peak current (Imax) is the coefficient of the cosine function, which is 140 A.