An rlc circuit with r = 23.5 ω , l = 396 mh , and c = 49.5 μf is connected to an ac generator with an rms voltage of 29 v . (part a) determine the average power delivered to this circuit when the frequency of the generator is equal to the resonance frequency. express your answer using two significant figures. (part b) determine the average power delivered to this circuit when the frequency of the generator is twice the resonance frequency. express your answer using two significant figures. (part c) determine the average power delivered to this circuit when the frequency of the generator is half the resonance frequency. express your answer using two significant figures.

power  is 35.5 W

power is 1.06 W

power is 1.06 W

Explanation:

Given data

R = 23.5 Ω

L = 396 mH

C = 49.5 μF

voltage = 29 V

solution

we know that in 1st part power that is equal to square of current × R

so

power = I²R

so current I = V/Z = 29/23.5   because R = Z at resonance

current = 1.23 A

power = 1.23²×23.5

power = 35.5 W

and

in 2nd part we know that frequency that is

f = 1/2π × √(1/LC)

f = 1/2(3.14) × √(1/396×10^-3×49.5×10^-6)

f = 35.94 Hz

so power = I²R

here

I =   V/Z

Z = √( R² + (x - y)²)

x = 2π(2f) L

x = 2(3.14)× ( 2×35.94)×( 396×

x = 178.84 ohm

y = 1 / 2π(2f) C

y =  1  /  2(3.14)× ( 2×35.94)×( 49.5×

y = 44.73 ohm

so

Z = √( 23.5² + (178.84 - 44.73)²)  

Z = 136.15 ohm

so current = 29 / 136.15

current I = 0.212 A

so power = 0.212² / 136.15

power = 1.06 W

and

in 3rd part same like 2nd

frequency = 35.94  Hz and X = 2π(2f) L = 2(3.14)× ( 35.94/2)×( 396×

X = 44.71 ohm

Y = 1 / 2π(2f) C = 1 / 2(3.14)× ( 35.94/2)×( 49.5×

Y = 178.98 ohm

so Z = √( 23.5² + (44.71 - 178.98)²)

Z = 136.25 ohm

current = 29 / 136.25

current = 0.212 A

so power = 0.212² / 136.15

power = 1.06 W

answer: d. a cme increases the amount of energy in the solar wind

explanation:

coronal mass ejections, also called cmes, are large clouds of plasma and magnetic field that erupt from the sun. only when the cloud is aimed at earth will the cme hit earth and therefore cause impacts. high-speed solar wind streams come from areas on the sun known as coronal holes.

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.