The electric flux through the surface shown in Figure Ex27.10 is 15.0 Nm2/C, and the electric field makes an angle á = 70° with the surface. What is the electric field strength? The surface is a 10cm by 10cm square.

E.dA is flux

E*Area*cos20=flux

check the angle. Angles are measured to the normal.

Well, you've entered the circus of electric flux! Let's get cracking with the calculations!

First of all, we need to find the area of the surface. Since we have a 10 cm by 10 cm square, we can calculate the area by squaring the length of one side. So, 10 cm x 10 cm = 100 cm².

Next, we'll use the formula for electric flux, which is given by Φ = E * A * cos(θ), where Φ is the electric flux, E is the electric field strength, A is the area of the surface, and θ is the angle between the electric field and the surface.

Plug in the values we know: 15.0 Nm²/C = E * 100 cm² * cos(70°).

Now, let's convert the units to SI units. 100 cm² is the same as 0.01 m².

Let's solve the equation for E: E = (15.0 Nm²/C) / (0.01 m² * cos(70°)).

Calculating that out gives us E = 428.57 N/C.

So, the electric field strength is approximately 428.57 N/C. Ta-da!

To find the electric field strength, we can use the formula:

Electric Flux = Electric Field Strength * Area * cos(angle)

Given that the electric flux is 15.0 Nm^2/C, the area is a 10 cm by 10 cm square, and the angle is 70°, we can plug in these values into the formula:

15.0 Nm^2/C = Electric Field Strength * (10 cm * 10 cm) * cos(70°)

First, let's convert the area to square meters:

Area = (10 cm * 10 cm) / (100 cm^2/m^2) = 0.1 m * 0.1 m = 0.01 m^2

Now, we can rearrange the formula to solve for the electric field strength:

Electric Field Strength = Electric Flux / (Area * cos(angle))

Substituting the given values:

Electric Field Strength = 15.0 Nm^2/C / (0.01 m^2 * cos(70°))

Using a calculator, we can evaluate the cosine of 70°:

cos(70°) ≈ 0.342

Electric Field Strength = 15.0 Nm^2/C / (0.01 m^2 * 0.342)

Electric Field Strength ≈ 437.96 N/C

Therefore, the electric field strength is approximately 437.96 N/C.

120 N/C

Flux = E*A

E = Flux/A
E = Flux/(0.1^2*cos(20))
= 1596.2667 N/c