Final answer:
To find the charge on the top plate of this capacitor, use the formula Q = CV, where Q is the charge, C is the capacitance, and V is the voltage. First, find the capacitance using the formula C = κε₀A/d. Then, substitute the capacitance and the voltage into the formula Q = CV to find the charge.
Step-by-step explanation:
To find the charge on the top plate of this capacitor, we can use the formula Q = CV, where Q is the charge, C is the capacitance, and V is the voltage. First, let's find the capacitance.
The capacitance of a parallel plate capacitor with a dielectric can be calculated using the formula C = κε₀A/d, where C is the capacitance, κ is the dielectric constant, ε₀ is the permittivity of free space, A is the area of the plates, and d is the distance between the plates.
Substituting the given values into the formula, we have C = 3.6 * 8.85 * 10^-12 * 3490 / 0.36.
Now, we can substitute the capacitance and the voltage into the formula Q = CV to find the charge. The charge on the top plate of the capacitor is 6 * (3.6 * 8.85 * 10^-12 * 3490 / 0.36).