Find the electric field at P in the figure shown below. (Take r = 1.5 m and θ = 41°. Measure the angle counterclockwise from the positive x-axis.)
To find the electric field at point P, we need to use the concept of electric field due to a point charge. The electric field due to a point charge is given by:
E = k * (Q / r^2)
where E is the electric field, k is the electrostatic constant (9 x 10^9 N m^2/C^2), Q is the charge of the point charge, and r is the distance between the point charge and the location where we want to find the electric field.
In the figure, we can see that there is a point charge Q located at coordinates (r, θ) = (1.5 m, 41°). We need to convert the angle from degrees to radians to use it in our calculations. The conversion is given by:
θ (in radians) = θ (in degrees) * π / 180
Substituting the given values into the equation, we have:
θ (in radians) = 41° * π / 180 ≈ 0.7156 radians
Now, we can calculate the electric field at point P as follows:
E = k * (Q / r^2)
Plugging in the values, we get:
E = (9 x 10^9 N m^2/C^2) * (Q / (1.5 m)^2)
To find the electric field at point P, we also need to know the charge of the point charge (Q). If the charge is not given in the figure or the problem statement, we won't be able to find the exact value of the electric field at point P.