A capacitor of capacitance 10 microfarads is charged to a voltage of 5 volts. Wh

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Question: A capacitor of capacitance 10 microfarads is charged to a voltage of 5 volts. What is the charge stored in the capacitor?

Options:

Correct Answer: 50 microcoulombs

Solution:

Charge (Q) is given by Q = C * V. Thus, Q = 10 µF * 5 V = 50 µC.

A capacitor of capacitance 10 microfarads is charged to a voltage of 5 volts. What is the charge stored in the capacitor?

A capacitor of capacitance 10 microfarads is charged to a voltage of 5 volts. What is the charge stored in the capacitor?

Step 1: Understand the formula for charge stored in a capacitor, which is Q = C * V.
Step 2: Identify the values given in the question: capacitance (C) is 10 microfarads (µF) and voltage (V) is 5 volts.
Step 3: Convert the capacitance from microfarads to farads. 10 µF = 10 x 10^-6 F = 0.00001 F.
Step 4: Substitute the values into the formula: Q = 0.00001 F * 5 V.
Step 5: Calculate the charge: Q = 0.00005 coulombs.
Step 6: Convert the charge from coulombs to microcoulombs. 0.00005 C = 50 µC.

Capacitance and Charge Relationship – The relationship between charge (Q), capacitance (C), and voltage (V) is given by the formula Q = C * V, where charge is measured in coulombs, capacitance in farads, and voltage in volts.