The angular frequency (ω) of a pulse can be calculated using the formula:

ω = θ / t

where:
θ is the angle of rotation (in radians)
t is the duration of the pulse (in seconds)

In this case, the Mz vector is rotated by 180°, which is equivalent to π radians (since 180° = π radians). The duration of the pulse is 25μs, or 25 x 10^-6 seconds.

Substituting these values into the formula gives:

ω = π / (25 x 10^-6)

Solving this equation gives:

ω = 125663.70614359173 rad/s

However, the question asks for the angular frequency in Hz. To convert from rad/s to Hz, we divide by 2π (since there are 2π radians in one cycle or Hz).

So the angular frequency in Hz is:

ω = 125663.70614359173 / (2π) = 20000 Hz

So, the angular frequency of the pulse is 20000 Hz.

Question

The angular frequency (ω) of a pulse can be calculated using the formula:

ω = θ / t

where:
θ is the angle of rotation (in radians)
t is the duration of the pulse (in seconds)

In this case, the Mz vector is rotated by 180°, which is equivalent to π radians (since 180° = π radians). The duration of the pulse is 25μs, or 25 x 10^-6 seconds.

Substituting these values into the formula gives:

ω = π / (25 x 10^-6)

Solving this equation gives:

ω = 125663.70614359173 rad/s

However, the question asks for the angular frequency in Hz. To convert from rad/s to Hz, we divide by 2π (since there are 2π radians in one cycle or Hz).

So the angular frequency in Hz is:

ω = 125663.70614359173 / (2π) = 20000 Hz

So, the angular frequency of the pulse is 20000 Hz.

Knowee AI · Accepted Answer