The x-component of an electric field vector E = (200 N/C, 45 deg) is ___N/C.

to get the x component

multiply 200
by cos 45
in other words divide by sqrt(2)

thx Damon

...that was i did but i got wrong

141.4 is it I think.

The x-component of an electric field vector E = (100.0 N/C, 75 deg) is i hv got 92.18 and it was Incorrect Right answer (25.88)N/C.

100 * cos 75 = 25.88

thax i set up in rad instead of deg ...really appreciated

To find the x-component of an electric field vector given its magnitude and angle, we can use trigonometry. The x-component is given by multiplying the magnitude of the electric field by the cosine of the angle.

In this case, the magnitude of the electric field vector E is 200 N/C, and the angle is 45 degrees.

So, to find the x-component, we can use the following formula:

x-component = magnitude × cos(angle)

Substituting the given values into the formula:

x-component = 200 N/C × cos(45°)

Using a calculator to find the cosine of 45 degrees (cos(45°) ≈ 0.70710678), we get:

x-component ≈ 200 N/C × 0.70710678

Calculating this gives us:

x-component ≈ 141.421356 N/C

Therefore, the x-component of the electric field vector E is approximately 141.421356 N/C.