1. **Problem statement:** Calculate the total charge stored in a circuit with three capacitors connected in parallel, given the voltage and capacitances.
2. **Formula used:** For capacitors in parallel, the total capacitance is the sum of individual capacitances:
$$C_T = C_1 + C_2 + C_3$$
The charge stored is given by:
$$Q = C_T \times V$$
3. **Given values:**
- $C_1 = 68\ \mu F$
- $C_2 = 12\ \mu F$
- $C_3 = 47\ \mu F$
- $V = 110$
4. **Calculate total capacitance:**
$$C_T = 68 + 12 + 47 = 127\ \mu F$$
5. **Calculate total charge:**
$$Q = 127 \times 110 = 13970\ \mu C$$
6. **Explanation:** Since the capacitors are in parallel, their capacitances add directly. Multiplying the total capacitance by the voltage gives the total charge stored.
**Final answer:**
$$Q = 13970\ \mu C$$
Capacitor Charge C66B5F
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.