Final answer:
The capacitance of the capacitor is 1.33 μF.
Step-by-step explanation:
To find the capacitance of a capacitor when the potential difference is increasing at a certain rate and the displacement current is given, we can use the formula:
C = (I / dV) × 10⁶
where:
- C is the capacitance in microfarads (μF)
- I is the displacement current in amperes (A)
- dV is the change in potential difference in volts (V)
Plugging in the given values:
- I = 0.80 A
- dV = 6.0 × 10⁵ V/s
We can calculate:
C = (0.80 / 6.0 × 10⁵) × 10⁶ = 1.33 μF (rounded to two significant figures)