Question

How do you solve a capacitor problem?

Answer 1

Hint: In order to solve this question, first we should know the meaning of capacitor. An electrical device with two terminals known as a capacitor has the capacity to store energy in the form of an electric charge. It is made up of two electrical wires that are spaced apart by a certain amount.

Complete answer:
Finding the Total Charge in a Particular Circuit. The total capacitance and total voltage in a circuit affect the total charge. The following is an equivalent relationship:
$Q=\dfrac{C}{V}$

We may determine the capacitance value by rearranging the equation as follows:
$C=\dfrac{Q}{V}$

Determining a circuit's overall capacitance
Depending on the need, capacitors in a circuit can either be linked in series or parallel. The following formula is used to get the total capacitance when capacitors are linked in series:
$\dfrac{1}{C}=\dfrac{1}{{{C}_{1}}}+\dfrac{1}{{{C}_{2}}}$

The following formula is used to determine the circuit's overall capacitance when capacitors are linked in parallel:
${{C}_{total}}={{C}_{1}}+{{C}_{2}}+.........{{C}_{n}}$

Understanding the Energy a Capacitor Stores
Electric potential energy, which is influenced by the capacitor's voltage and charge, is the energy that is stored in capacitors.

The following formula provides the amount of energy held in the capacitor:
$U=\dfrac{1}{2}C{{V}^{2}}$
Where,
V= Voltage and C= Capacitance.

Note: It is important to note that capacitors only last for a short time. The average capacitor is made to last for around 20 years. Electrical potential energy, which is what is held in capacitors, is correlated with the capacitor's charge Q and voltage V.