Consider an AC circuit consisting of a power supply and a resistor. If the current in the circuit at time t is /, then the power delivered to the resistor is /, where R is the resistance. Express the power in terms of .

Respuesta :

Answer:

Option B. is the answer.

Step-by-step explanation:

The given question is incomplete; complete question has been given in the picture attached.

Current in the circuit at the time t is [tex]I_{0}sinwt[/tex].

Power delivered to the resistor is [tex]I_{0}Rsin^{2}wt[/tex]

Where R = resistance

We have to express the power in the terms of cos2w.

Since formula to get the power in a circuit with resistance R and current I is given by

P = I²R

Therefore, power for the given circuit will be

P = [tex](I_{0})^{2} Rsin^{2}wt[/tex]

P = [tex]I^{2}_{0}R(\frac{1-cos2wt}{2})[/tex] [Since sin²t = [tex]\frac{1-sin^{2}wt}{2}[/tex]]

P = [tex]\frac{I^{2}_{0}R}{2}-\frac{1}{2}I^{2}_{0}cos2wt[/tex]

Therefore, Option B. will be the answer.

Ver imagen eudora

Answer:

B on Edge

Step-by-step explanation:

Got it right on the test

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