An alternating voltage u (V) across a resistor with resistance 10.0 varies with time
t (s) according to equation u = 25.0.sin 100t.
a) Determine the effective value of the voltage.
b) How much energy is converted into the resistor for 1 minute?
1
Expert's answer
2020-05-12T09:38:04-0400
Explanation
Effective value of a sinusoidal waveform (specially with voltage & current) is considered as the RMS value which when applied to a electrical load, it produces the same amount of power.
When the peak (maximum) value of the sinusoidal waveform (consider voltage waveform in this case)is known the RMS can be calculated by RMS = 2vpeak
When a voltage is supplied only to a resistor, supplied energy = lost/dissipated energy which is calculated by E =Vit=RV2t=i2Rt
Calculations
1). Peak value (peak/maximum voltage) of the given waveform = Umax = 25V (@ sin100ωt = 1)
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