A cathode ray oscilloscope is displaying an AC signal. If one wave is completed in 2 cm along X- axis and time-base setting is 10 ms/cm, then frequency of AC signal will be:
Correct answer: B. 50 Hz
- A. 100 Hz
- B. 50 Hz
- C. 20 Hz
- D. 10 Hz
- E. 200 Hz
Explanation
The distance traveled by the wave along the X-axis in one complete cycle is the wavelength, which is given as 2 cm in the problem. The time-base setting is given as 10 ms/cm, which means that one centimeter along the X-axis represents a time of 10 ms. Therefore, the time taken for one complete cycle is:Time = (2 cm) x (10 ms/cm) = 20 msThe frequency, f, is given by the formula:f = 1/TWhere T is the time taken for one complete cycle. Substituting the value of T, we get:f = 1/20 ms = 50 HzTherefore, the frequency of the AC signal is 50 Hz. The correct answer is B.
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About AC Through Resistor, Capacitor and Inductor
Alternating current through a resistor, capacitor and inductor involves phase relationships between voltage and current, reactance, impedance and energy transfer. A resistor keeps voltage and current in phase, while a capacitor and inductor produce opposite phase shifts, a distinction used in circuit diagrams and numerical calculations.
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