Solve the Problem $V ( t ) = 160 \cos ( 120 \pi t )$

question 52

Multiple Choice

Solve the problem.

-Suppose that a hair dryer operates on a voltage that can be represented by the relation $V ( t ) = 160 \cos ( 120 \pi t )$ and that it draws a current represented by the relation $I ( t ) = 12 \cos ( 120 \pi t )$ , where $t$ is time measured in seconds. The power consumed by the appliance is P =VI. Graph th power in [0, 0.04, 0.01] by $[ - 200,2000,200 ]$ and use an identity to write the expression for the power in the form $\mathrm { P } = \mathrm { a } \cos ( \mathrm { k } \pi \mathrm { t } ) + \mathrm { d }$ , where $\mathrm { a } , \mathrm { k }$ , and $\mathrm { d }$ are constants.

• A) \(\mathrm { P } = 960 \cos ( 240 \pi \mathrm { t } ) + 960\) \([ 0,0.04,0.01 ]\) by \([ - 200,2000,200 ]\)
• B) \(\mathrm { P } = 1920 \cos ( 240 \pi \mathrm { t } ) + 1920\) \([ 0,0.04,0.01 ]\) by \([ - 200,2000,200 ]\)
• C) \(P = 960 \cos ( 120 \pi t ) + 960\) \([ 0,0.04,0.01 ]\) by \([ - 200,2000,200 ]\)
• D) \(P = - 960 \cos ( 240 \pi t ) + 960\) \([ 0,0.04,0.01 ]\) by \([ - 200,2000,200 ]\)

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