PHYS 1112 Module 6.1

Alternating Current versus Direct Current

Practice!

Practice 6.1.1
An alternating current (AC) source supplies a sinusoidally varying voltage that can be described with the function V(t) = V₀ sin (2πft), where V₀ is the maximum voltage, f is the frequency, and t is the time. If the oscillation frequency of this source is 60 Hz, what is the oscillation period?

Practice 6.1.2
A resistor is connected in series with an AC source that provides a sinusoidal voltage of V(t) = V₀ sin (2πft), where V₀ is the maximum voltage, f is the frequency, and t is the time. The current supplied by this source that flows through this resistor is described with the function I(t) = I₀ sin (2πft), where I₀ is the maximum current. What is the average power supplied by this AC source?

Practice 6.1.2

A resistor is connected in series with an AC source that provides a sinusoidal voltage of V(t) = V₀ sin (2πft), where V₀ is the maximum voltage, f is the frequency, and t is the time. The current supplied by this source that flows through this resistor is described with the function I(t) = I₀ sin (2πft), where I₀ is the maximum current.

What is the average power supplied by this AC source?

Practice 6.1.3
A resistor is connected in series with an AC source that provides a sinusoidal voltage of V(t) = V₀ sin (2πft), where V₀ is the maximum voltage, f is the frequency, and t is the time. The current supplied by this source that flows through this resistor is described with the function I(t) = I₀ sin (2πft), where I₀ is the maximum current. What is the rms current in the resistor?

Practice 6.1.4
A resistor is connected in series with an AC source that provides a sinusoidal voltage of V(t) = V₀ sin (2πft), where V₀ is the maximum voltage, f is the frequency, and t is the time. The current supplied by this source that flows through this resistor is described with the function I(t) = I₀ sin (2πft), where I₀ is the maximum current. What is the rms voltage across the resistor?