Answer to Question #293158 in Physics for Mich

Question

Direction: Solve the following problems stated below. Show your solutions.

1. Compute the electric flux of the following sets of variables:

a. E = 7.2x10^-5. N/C

A = 1.6x10^-6 m^2

θ = 30°

b. E = 9.7x10^5 N/C

A = 5.3x10^-6 m^2

θ = 75°

c. E = 6.5x10^5 N/C

A = 8.3x10^-6 m^2

θ = 30°

Answer 1

1. Compute the electric flux of the following sets of variables:

a. E = 7.2x10^5. N/C

A = 1.6x10^-6 m^2

θ = 30°

$$\phi=EA\cos\theta\\ {\rm=7.2*10^{5}\:N/C*1.6*10^{-6}\: m^2\cos30^\circ}\\ =1.0\;\rm N\cdot m^2/C$$

b. E = 9.7x10^5 N/C

A = 5.3x10^-6 m^2

θ = 75°

$$\phi=EA\cos\theta\\ {\rm=9.7*10^{5}\:N/C*5.3*10^{-6}\: m^2\cos75^\circ}\\ =1.3\;\rm N\cdot m^2/C$$

c. E = 6.5x10^5 N/C

A = 8.3x10^-6 m^2

θ = 30°

$$\phi=EA\cos\theta\\ {\rm=6.5*10^{5}\:N/C*8.3*10^{-6}\: m^2\cos30^\circ}\\ =4.7\;\rm N\cdot m^2/C$$