The fluctuations in the voltage across the capacitor in the alternating current circuit are described by the equation

The fluctuations in the voltage across the capacitor in the alternating current circuit are described by the equation: u = 50 cos (100pt), where all values are expressed in SI. What is the period of voltage fluctuations?

Given:
u = 50 cos (100п t)
ν -?
u = U₀cos (ωt)
u = 50 cos (100п t)
Cyclic frequency:
ω = 100п s⁻1
ω = 2п ν
2п ν = 100п
ν = 100п / (2п) = 50 Hz
Answer: 50Hz