📚 How to write a sinusoidal expression for current when given voltage and impedance
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Загружено: 2017-12-20
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Q. A voltage of 142 sin(200t) is applied to a given circuit. Write a sinusoidal expression for the current i when the impedance is 8.60∠54.5°.
Step 1: Convert voltage to complex form (V).
Step 2: Divide voltage (V) by impedance (Z).
Step 3: Convert complex form current (I) to sinusoidal form i.
What you'll need:
Current is represented by: (i=I_max sin〖(ωt+ϕ_2 ) ⇒ I=I_eff∠ϕ_2=I_max/√2∠ϕ_2 〗 )
Voltage is represented by: (v=V_max sin〖(ωt+ϕ_1 ) ⇒ V=V_eff∠ϕ_1 〗=V_max/(√2)∠ϕ_1 )
Ohm's Law for AC: ▭(V=IZ)
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