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 cos 2wt

P ( t ) = Io^2*R*0.5* (1 - cos ( 2wt) )

Step-by-step explanation:

Given:-

- The given current at time t, with maximum current supplied (Io) is:

                                 I(t) = Io*sin(tw)

Find:-

The power P in terms of cos (2wt)

Solution:-

- The formula for power (P) in an AC circuit is given by the expression:

                               P ( t ) = [I(t)]^2*R

                               P ( t ) = [Io*sin(tw)]^2 *R

                               P ( t ) = Io^2*R*sin(tw)^2

- We will use cos (2w) : Double angle formula as follows,

                              [sin(wt)]^2 = 0.5* (1 - cos ( 2wt) )

- Substituting in our power expression we have:

                             P ( t ) = Io^2*R*0.5* (1 - cos ( 2wt) )

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

savings account is an account only used for saving money. this acts as an emergency source of funding for an individual. answer a would result in the money in his account to grow as it specifically states that interest is compounded daily at the rate of 2%

step-by-step explanation: