If a capacitor has a capacitance of 10 µF and is charged to 5 V, what is the cha
Practice Questions
Q1
If a capacitor has a capacitance of 10 µF and is charged to 5 V, what is the charge on the capacitor?
50 µC
5 µC
2 µC
10 µC
Questions & Step-by-Step Solutions
If a capacitor has a capacitance of 10 µF and is charged to 5 V, what is the charge on the capacitor?
Step 1: Understand the formula for charge on a capacitor, which is Q = C * V.
Step 2: Identify the values given in the question: capacitance (C) is 10 µF and voltage (V) is 5 V.
Step 3: Convert the capacitance from microfarads (µF) to farads (F) if necessary. 10 µF = 10 x 10^-6 F = 0.00001 F.
Step 4: Plug the values into the formula: Q = 10 µF * 5 V.
Step 5: Calculate the charge: Q = 10 * 10^-6 F * 5 V = 50 * 10^-6 C.
Step 6: Convert the charge to microcoulombs (µC): 50 * 10^-6 C = 50 µC.
Capacitance and Charge Relationship – The relationship between charge (Q), capacitance (C), and voltage (V) is defined by the formula Q = C * V, where Q is the charge in coulombs, C is the capacitance in farads, and V is the voltage in volts.
