Question

How do I find the maximum power?

(Picture attached)

Answer 1

The answer for (i) is 1-2cos(200t - 1.0472), if that's needed.

Answer 2

first try to get the first Derivative
then the first Derivative must be equal zero to getting the value of t which delivered the maximum power

Answer 3

From which equation do I differentiate? The equation in the question, or the one from (i)?

Answer 4

in the question
p=f(t)

Answer 5

are u done wid part i) already ?

Answer 6

Yes, 1-2cos(200t - 1.0472).

Answer 7

3esam so2al sehel :P =)

Answer 8

I differentiated the thing, and got sin(200t) - (sqrt3)cos(200t) = 0...

How do I continue?

Answer 9

from this equation
try to getting the value of t

Answer 10

I'm not sure how to.

Answer 11

P = 1-2cos(200t - 1.0472)

maximum value occurs when cos(200t-1.0472) = -1
so, max P = 1 -2(-1) = 1+2 = 3

Answer 12

for part iii, solve below :
cos(200t-1.0472) = -1

Answer 13

How did you come to that conclusion that [cos(200t - 1.0472) = -1] means it is the maximum value?

Answer 14

whats the range of cos(x) ?

Answer 15

[-1, 1] right ?

Answer 16

Oh... I get it. Alright, thank you!

Answer 17

for other problems, u may do the calculus way as @esamalaa is doing... but its not required for this particular problem.. .