What is the potential difference between Points A and B?
E=100N/C AB=.2M degrees of 30
To determine the potential difference between points A and B, you need to use the formula:
ΔV = E * d * cos(θ)
where:
ΔV is the potential difference,
E is the electric field strength (in N/C),
d is the distance between the points A and B (in meters),
θ is the angle between the electric field and the direction from A to B.
Given the following values:
E = 100 N/C,
AB = 0.2 m,
θ = 30 degrees,
First, convert the angle from degrees to radians:
θ_radians = θ * (π/180)
θ_radians = 30 * (π/180)
θ_radians = π/6 radians
Now, plug the values into the formula:
ΔV = E * d * cos(θ_radians)
ΔV = 100 * 0.2 * cos(π/6)
Using a calculator, evaluate the cosine function:
ΔV = 100 * 0.2 * 0.866
ΔV = 17.32 V
Therefore, the potential difference between points A and B is 17.32 volts.