How much charge flows through a 12 V battery when a 2 ìC capacitor is connected across its terminal?
C=Q/V so Q =CV when charged.
To determine the amount of charge that flows through a capacitor when connected to a battery, you need to use the formula Q = CV, where Q represents charge, C represents capacitance, and V represents voltage.
Given data:
- Voltage (V) = 12 V
- Capacitance (C) = 2 μF (microfarads)
First, convert the capacitance to farads:
1 μF = 1 × 10^-6 F
Therefore, 2 μF = 2 × 10^-6 F
Now, substitute the values into the formula:
Q = CV
Q = (2 × 10^-6 F) × (12 V)
Multiply the values:
Q = 24 × 10^-6 C
Simplify:
Q = 2.4 × 10^-5 C
So, the amount of charge that flows through the 2 μF capacitor when connected to a 12 V battery is 2.4 × 10^-5 coulombs.