First slide

Alternating Current and voltage

Question

Two sinusoidal voltages of the same frequency are shown in the diagram. What is the frequency, and the phase relationship between the voltages

Moderate

A

Frequency in Hz Phase lead of N over M in radians
0.4 $- π / 4$
B

Frequency in Hz Phase lead of N over M in radians
2.5 $- π / 2$
C

Frequency in Hz Phase lead of N over M in radians
2.5 $+ π / 2$
D

Frequency in Hz Phase lead of N over M in radians
2.5 $- π / 4$

Solution

From the graph shown below. It is clear that phase lead of N over M is $- \frac{π}{2}$ . Since time period (i.e., taken to complete one cycle) = 0.4 sec.
Hence frequency $ν = \frac{1}{T} = 2 .5 Hz$

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