Final answer:
The charge on capacitor C1, with a capacitance of 1.0 pF and a potential difference of 12.0 V, is 0.012 microcoulombs (μC), which is typical for static electricity charges.
Step-by-step explanation:
To determine the charge on capacitor C1, we need to use the formula for the charge on a capacitor, which is Q = C × V, where Q is the charge in coulombs (C), C is the capacitance in farads (F), and V is the potential difference in volts (V). The problem states that the capacitance (C1) is 1.0 pF (picofarads), which is equal to 1.0 × 10-12 F. Given a potential difference of 12.0 V across the network, the charge on capacitor C1 can be calculated as follows:
Q = C × V = (1.0 × 10-12 F) × (12.0 V) = 1.2 × 10-11 C.
Since we are asked to express the charge in microcoulombs (μC), we convert coulombs to microcoulombs: 1 C = 1 × 106 μC. Therefore, the charge on capacitor C1 in microcoulombs is:
Q = 1.2 × 10-11 C × 1 × 106 μC/C = 1.2 × 10-5 μC or 0.012 μC.
This charge is much smaller than 1 μC, which is consistent with the fact that this is a low capacitance (picofarad-level) and typical for static electricity charges.