Question 15.3: A sine wave has a maximum voltage of 138 V. What is the volt......
A sine wave has a maximum voltage of 138 V. What is the voltage after 78° of rotation?
Step-by-Step
\ E_{\mathrm{(INST)}}={E}_{\mathrm{(MAX)}}\sin\angle\theta
E_{\mathrm{(INST)}}=138\times0.978\,(\mathrm{sin~of~78^{\circ}})
E_{\mathrm{(INST)}} = 134.964 V
The formula can be changed to find the maximum value if the instan taneous value and the angle of rotation are known or to find the angle if the maximum and instantaneous values are known:
E_{\mathrm{(MAX)}}=\frac{\mathrm{E_{(INST)}}}{\mathrm{sin \angle \theta}}
\mathrm{sin \angle \theta}=\frac{\mathrm{E_{(INST)}}}{E_{\mathrm{(MAX)}}}
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