What charge exists on a test charge that experiences a force of 2.2 10-8 N at a point where the electric field intensity is 1.0 10-4 N/C?
what formula do i use??
To find the charge on a test charge that experiences a force at a point where the electric field intensity is known, you can use the formula:
F = q * E
Where:
F = Force experienced by the test charge (in newtons)
q = Charge on the test charge (in coulombs)
E = Electric field intensity (in newtons/coulomb)
Rearranging the formula, we can solve for q:
q = F / E
Now you have all the information you need to find the charge on the test charge. Substitute the given values:
F = 2.2 * 10^(-8) N
E = 1.0 * 10^(-4) N/C
Plug these values into the formula:
q = (2.2 * 10^(-8) N) / (1.0 * 10^(-4) N/C)
Simplify:
q = 2.2 * 10^(-8 - (-4)) C
q = 2.2 * 10^(-8 + 4) C
q = 2.2 * 10^(-4) C
q = 2.2 * 0.0001 C
q = 0.00022 C
Therefore, the charge on the test charge that experiences a force of 2.2 * 10^(-8) N at a point where the electric field intensity is 1.0 * 10^(-4) N/C is 0.00022 C.