How much current flows through a 0.02-H choke that is operating from a 12-V ac, 100-Hz source? A. 0.02 A B. 0.955 A C. 10:00 AM D. 2.02 A E. None of the above

0.02 A
0.955 A
10:00 AM
2.02 A E. None of the above

The correct answer is $\boxed{\text{B) 0.955 A}}$.

The current flowing through a choke is given by the following formula:

$$I = \frac{V}{Z}$$

where $V$ is the voltage, $Z$ is the impedance, and $I$ is the current.

The impedance of a choke is given by the following formula:

$$Z = \omega L$$

where $\omega$ is the angular frequency and $L$ is the inductance.

The angular frequency is given by the following formula:

$$\omega = 2\pi f$$

where $f$ is the frequency.

In this case, we have:

  • $V = 12\text{ V}$
  • $f = 100\text{ Hz}$
  • $L = 0.02\text{ H}$

Therefore, the impedance is:

$$Z = \omega L = 2\pi (100\text{ Hz}) (0.02\text{ H}) = 4\pi\text{ Ω}$$

The current is:

$$I = \frac{V}{Z} = \frac{12\text{ V}}{4\pi\text{ Ω}} = 0.955\text{ A}$$

Option A is incorrect because it is the inductance, not the current.

Option C is incorrect because it is a time of day, not an electrical value.

Option D is incorrect because it is twice the correct value.