Find the relationship between the voltage phasor and current phasor for a resist

Question

Find the relationship between the voltage phasor and current phasor for a resistor

Part A - Find the relationship between the voltage phasor and current phasor for a resistor Consider the resistor shown here, with a sinusoidal current described as Using Ohm?s law together with the passive sign convention, the voltage drop for this resistor is given by Since both the voltage and current for the resistor are sinusoids, we can apply the phasor transform: The equation relating the voltage phasor and the current phasor for a resistor in the frequency domain is a form of Ohm?s law. In the frequency domain, the ratio of the voltage phasor V to the current phasor I is the impedance of the resistor. which is .11 Note that the impedance of a resistor is purely real and positive. Because the voltage phasor has the units volts and the current phasor has the units amperes, the impedance of the resistor has the units ohms. Consider the resistor shown here, transformed into the phasor domain. Suppose that the phasor current is given by Find the phasor voltage. Enter a complex number in polar form, with phase angle in degrees, correct to three significant figures.

Explanation / Answer

V = I*R = (75<120)(4) = 300<120 Volts

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