Resistors in an AC Circuit

An alternating current source has an output voltage given by the expression:

∆𝑉 = 200 𝑠𝑖𝑛 ( 20𝜋𝑡 ) where ∆𝑉 is in volts.

What is the source frequency and its maximum current when it is connected to a 50 𝛺 resistor?

• f = 10 Hz

  Max Current = 2.8A

• f = 10 Hz

  Max Current = 3.0A

• f = 10 Hz

  Max Current = 4.0A

• f = 20𝜋 Hz

  Max Current = 4.0A

The voltage output of an AC source is given by the expression ∆𝑉 = 200 sin(4𝜋)𝑡, where ∆𝑉 is in volts.

What is the 𝑟𝑚𝑠 current in the circuit when this source is connected to a 100 𝛺 resistor?

• 300A

• 2.82A

• 2.00A

• 1.41A

The voltage output of an AC source is given by the expression ∆𝑉 = 200 sin (4𝜋)𝑡, where ∆𝑉 is in volts.

What is the frequency of the source?

• 0.25 Hz

• 0.50 Hz

• 1.0 Hz

• 2.0 Hz

A resistor is connected to an AC power supply. The current in this circuit ____.

• Is in phase with the voltage

• Leads the voltage by 90°

• Legs the voltage by 90°

• Leads the voltage by 45°

In an AC series circuit, the current in a pure resistor differs in phase with the applied voltage by what angle?

• 0°

• 45°

• 90°

• 180°